View Issue Details
ID | Project | Category | View Status | Date Submitted | Last Update |
---|---|---|---|---|---|
0001544 | OpenFOAM | Bug | public | 2015-02-20 15:46 | 2015-06-12 08:54 |
Reporter | michael2015 | Assigned To | henry | ||
Priority | normal | Severity | minor | Reproducibility | always |
Status | resolved | Resolution | fixed | ||
Summary | 0001544: findElements::findElements cannot find point inside domain | ||||
Description | Hello. I have a listo of 45 points which are inside of the domain. the function gives me an error form some of them: --> FOAM Warning : From function findElements::findElements(const fvMesh&) in file probes/probes.C at line 111 Did not find location (75746 23540 119.025) in any cell. Skipping location. | ||||
Tags | No tags attached. | ||||
|
Which version of OpenFOAM are you using? Are some of the point on or very near the boundary? How do we reproduce the error? Is the case available somewhere? |
|
the points are closed to a wall but there are alwayes some cell layers between the points and the wall. The version is 2.3.0. Unfortunatly I cannot send you the case because it is industrial relevant. But I saw resent similar bug reports: http://www.openfoam.org/mantisbt/view.php?id=1349 |
|
Do you get the same behavior with OpenFOAM-2.3.x? Are the points which cannot be found colocated with mesh vertices, edges or faces? |
|
Hello! I installed OpenFOAM-2.3.x and the same bug occured. Some points which are not found are close to faces bot some are well in the middle of the cell. Furthermore I relized that the cellRepresentation is of type FACEDIAGTETS. So I guess something goes wrong in the pointInCell function in polyMesh.C for the case FACEDIAGTETS |
|
Have you checked the mesh quality? Are some tets inside-out? |
|
i think everything is ok with the mesh. checkMesh does not give any wornings |
|
checkMesh.out (6,165 bytes)
/*---------------------------------------------------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 2.3.0 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ Build : 2.3.0-f5222ca19ce6 Exec : checkMesh Date : Feb 23 2015 Time : 13:38:50 Host : "aiolos" PID : 22835 Case : /gpfs/home/ENERCON1/00059128/OpenFOAM/OpenFOAM-2.3.0/Projects/Askervein_Hill/Askervein_Hill_kepsilon/case210 nProcs : 1 sigFpe : Floating point exception trapping - not supported on this platform fileModificationChecking : Monitoring run-time modified files using timeStampMaster allowSystemOperations : Allowing user-supplied system call operations // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // Create time Create polyMesh for time = 0 Time = 0 Mesh stats points: 2177778 faces: 5868703 internal faces: 5588894 cells: 1850745 faces per cell: 6.1908 boundary patches: 39 point zones: 0 face zones: 0 cell zones: 0 Overall number of cells of each type: hexahedra: 1664473 prisms: 6921 wedges: 0 pyramids: 0 tet wedges: 354 tetrahedra: 4 polyhedra: 178993 Breakdown of polyhedra by number of faces: faces number of cells 4 10622 5 6697 6 11931 7 40012 8 17040 9 83125 10 919 11 216 12 5301 13 3 14 1 15 2955 18 171 Checking topology... Boundary definition OK. Cell to face addressing OK. Point usage OK. Upper triangular ordering OK. Face vertices OK. Number of regions: 1 (OK). Checking patch topology for multiply connected surfaces... Patch Faces Points Surface topology p1 276 332 ok (non-closed singly connected) p2 276 332 ok (non-closed singly connected) p3 276 332 ok (non-closed singly connected) p4 276 332 ok (non-closed singly connected) p5 276 332 ok (non-closed singly connected) p6 276 332 ok (non-closed singly connected) p7 276 332 ok (non-closed singly connected) p8 276 332 ok (non-closed singly connected) p9 276 332 ok (non-closed singly connected) p10 276 332 ok (non-closed singly connected) p11 276 332 ok (non-closed singly connected) p12 276 332 ok (non-closed singly connected) p13 276 332 ok (non-closed singly connected) p14 276 332 ok (non-closed singly connected) p15 276 332 ok (non-closed singly connected) p16 276 332 ok (non-closed singly connected) p17 276 332 ok (non-closed singly connected) p18 276 332 ok (non-closed singly connected) p19 276 332 ok (non-closed singly connected) p20 276 332 ok (non-closed singly connected) p21 276 332 ok (non-closed singly connected) p22 276 332 ok (non-closed singly connected) p23 276 332 ok (non-closed singly connected) p24 276 332 ok (non-closed singly connected) p25 276 332 ok (non-closed singly connected) p26 276 332 ok (non-closed singly connected) p27 276 332 ok (non-closed singly connected) p28 276 332 ok (non-closed singly connected) p29 276 332 ok (non-closed singly connected) p30 276 332 ok (non-closed singly connected) p31 276 332 ok (non-closed singly connected) p32 276 332 ok (non-closed singly connected) p33 276 332 ok (non-closed singly connected) p34 276 332 ok (non-closed singly connected) p35 276 332 ok (non-closed singly connected) p36 276 332 ok (non-closed singly connected) BOTTOM 0 0 ok (empty) TOP 261 280 ok (non-closed singly connected) Terrain 269612 281125 ok (non-closed singly connected) Checking geometry... Overall domain bounding box (69522.7 17522.7 -1.39002e-07) (81477.2 29477.3 2000) Mesh (non-empty, non-wedge) directions (1 1 1) Mesh (non-empty) directions (1 1 1) Boundary openness (-5.10488e-17 -9.79937e-17 8.78762e-15) OK. Max cell openness = 4.04411e-16 OK. Max aspect ratio = 81.1674 OK. Minimum face area = 1.31317. Maximum face area = 600167. Face area magnitudes OK. Min volume = 7.18999. Max volume = 1.1964e+08. Total volume = 2.23475e+11. Cell volumes OK. Mesh non-orthogonality Max: 64.9998 average: 17.1163 Non-orthogonality check OK. Face pyramids OK. ***Max skewness = 4.51365, 2 highly skew faces detected which may impair the quality of the results <<Writing 2 skew faces to set skewFaces Coupled point location match (average 0) OK. Failed 1 mesh checks. End |
|
I uploaded the output of the checkMesh utility |
|
Can you check with checkMesh -allGeometry -allTopology |
|
ok now the output is different. here the final output of checkmesh: Checking geometry... Overall domain bounding box (69522.7 17522.7 -1.39002e-07) (81477.2 29477.3 2000) Mesh (non-empty, non-wedge) directions (1 1 1) Mesh (non-empty) directions (1 1 1) Boundary openness (-5.10488e-17 -9.79937e-17 8.78762e-15) OK. Max cell openness = 4.04411e-16 OK. Max aspect ratio = 81.1674 OK. Minimum face area = 1.31317. Maximum face area = 600167. Face area magnitudes OK. Min volume = 7.18999. Max volume = 1.1964e+08. Total volume = 2.23475e+11. Cell volumes OK. Mesh non-orthogonality Max: 64.9998 average: 17.1163 Non-orthogonality check OK. Face pyramids OK. ***Max skewness = 4.51365, 2 highly skew faces detected which may impair the quality of the results <<Writing 2 skew faces to set skewFaces Coupled point location match (average 0) OK. Face tets OK. Min/max edge length = 0.235511 1045.87 OK. *There are 776 faces with concave angles between consecutive edges. Max concave angle = 79.9294 degrees. <<Writing 776 faces with concave angles to set concaveFaces Face flatness (1 = flat, 0 = butterfly) : min = 0.10157 average = 0.999385 *There are 1394 faces with ratio between projected and actual area < 0.8 Minimum ratio (minimum flatness, maximum warpage) = 0.10157 <<Writing 1394 warped faces to set warpedFaces Cell determinant (wellposedness) : minimum: 2.45496e-05 average: 2.55151 ***Cells with small determinant (< 0.001) found, number of cells: 148 <<Writing 148 under-determined cells to set underdeterminedCells ***Concave cells (using face planes) found, number of cells: 67108 <<Writing 67108 concave cells to set concaveCells Face interpolation weight : minimum: 0.032057 average: 0.469562 ***Faces with small interpolation weight (< 0.05) found, number of faces: 31 <<Writing 31 faces with low interpolation weights to set lowWeightFaces Face volume ratio : minimum: 0.0111648 average: 0.869301 Face volume ratio check OK. are concave cells a problem? |
|
> are concave cells a problem? Yes if they cause negative face-pyramids, but this looks OK for your mesh. Could you sub-set a section of the mesh containing cells in which points are not found and those point locations and up-load it for testing? |
|
I subset the mesh with all not found points. unfortunately the security adds of my browser does not allow me to upload the file. can I sent you an email? |
|
Could you send the case to some distribution repository so that others may download it and test possible patches to the search algorithm? |
|
boundary (5,445 bytes)
/*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 2.3.0 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format binary; class polyBoundaryMesh; location "1/polyMesh"; object boundary; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // 40 ( p1 { type patch; nFaces 0; startFace 350829; } p2 { type patch; nFaces 0; startFace 350829; } p3 { type patch; nFaces 0; startFace 350829; } p4 { type patch; nFaces 0; startFace 350829; } p5 { type patch; nFaces 0; startFace 350829; } p6 { type patch; nFaces 0; startFace 350829; } p7 { type patch; nFaces 0; startFace 350829; } p8 { type patch; nFaces 0; startFace 350829; } p9 { type patch; nFaces 0; startFace 350829; } p10 { type patch; nFaces 0; startFace 350829; } p11 { type patch; nFaces 0; startFace 350829; } p12 { type patch; nFaces 0; startFace 350829; } p13 { type patch; nFaces 0; startFace 350829; } p14 { type patch; nFaces 0; startFace 350829; } p15 { type patch; nFaces 0; startFace 350829; } p16 { type patch; nFaces 0; startFace 350829; } p17 { type patch; nFaces 0; startFace 350829; } p18 { type patch; nFaces 0; startFace 350829; } p19 { type patch; nFaces 0; startFace 350829; } p20 { type patch; nFaces 0; startFace 350829; } p21 { type patch; nFaces 0; startFace 350829; } p22 { type patch; nFaces 0; startFace 350829; } p23 { type patch; nFaces 0; startFace 350829; } p24 { type patch; nFaces 0; startFace 350829; } p25 { type patch; nFaces 0; startFace 350829; } p26 { type patch; nFaces 0; startFace 350829; } p27 { type patch; nFaces 0; startFace 350829; } p28 { type patch; nFaces 0; startFace 350829; } p29 { type patch; nFaces 0; startFace 350829; } p30 { type patch; nFaces 0; startFace 350829; } p31 { type patch; nFaces 0; startFace 350829; } p32 { type patch; nFaces 0; startFace 350829; } p33 { type patch; nFaces 0; startFace 350829; } p34 { type patch; nFaces 0; startFace 350829; } p35 { type patch; nFaces 0; startFace 350829; } p36 { type patch; nFaces 0; startFace 350829; } BOTTOM { type wall; inGroups 1(wall); nFaces 0; startFace 350829; } TOP { type wall; inGroups 1(wall); nFaces 0; startFace 350829; } Terrain { type wall; inGroups 2 ( motorBikeGroup wall ) ; nFaces 18933; startFace 350829; } oldInternalFaces { type empty; inGroups 1(empty); nFaces 4841; startFace 369762; } ) // ************************************************************************* // |
|
|
|
boundary1 (5,404 bytes)
/*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 2.3.0 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format binary; class polyBoundaryMesh; location "1/polyMesh"; object boundary; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // 40 ( p1 { type patch; nFaces 0; startFace 73037; } p2 { type patch; nFaces 0; startFace 73037; } p3 { type patch; nFaces 0; startFace 73037; } p4 { type patch; nFaces 0; startFace 73037; } p5 { type patch; nFaces 0; startFace 73037; } p6 { type patch; nFaces 0; startFace 73037; } p7 { type patch; nFaces 0; startFace 73037; } p8 { type patch; nFaces 0; startFace 73037; } p9 { type patch; nFaces 0; startFace 73037; } p10 { type patch; nFaces 0; startFace 73037; } p11 { type patch; nFaces 0; startFace 73037; } p12 { type patch; nFaces 0; startFace 73037; } p13 { type patch; nFaces 0; startFace 73037; } p14 { type patch; nFaces 0; startFace 73037; } p15 { type patch; nFaces 0; startFace 73037; } p16 { type patch; nFaces 0; startFace 73037; } p17 { type patch; nFaces 0; startFace 73037; } p18 { type patch; nFaces 0; startFace 73037; } p19 { type patch; nFaces 0; startFace 73037; } p20 { type patch; nFaces 0; startFace 73037; } p21 { type patch; nFaces 0; startFace 73037; } p22 { type patch; nFaces 0; startFace 73037; } p23 { type patch; nFaces 0; startFace 73037; } p24 { type patch; nFaces 0; startFace 73037; } p25 { type patch; nFaces 0; startFace 73037; } p26 { type patch; nFaces 0; startFace 73037; } p27 { type patch; nFaces 0; startFace 73037; } p28 { type patch; nFaces 0; startFace 73037; } p29 { type patch; nFaces 0; startFace 73037; } p30 { type patch; nFaces 0; startFace 73037; } p31 { type patch; nFaces 0; startFace 73037; } p32 { type patch; nFaces 0; startFace 73037; } p33 { type patch; nFaces 0; startFace 73037; } p34 { type patch; nFaces 0; startFace 73037; } p35 { type patch; nFaces 0; startFace 73037; } p36 { type patch; nFaces 0; startFace 73037; } BOTTOM { type wall; inGroups 1(wall); nFaces 0; startFace 73037; } TOP { type wall; inGroups 1(wall); nFaces 0; startFace 73037; } Terrain { type wall; inGroups 2 ( motorBikeGroup wall ) ; nFaces 4738; startFace 73037; } oldInternalFaces { type empty; inGroups 1(empty); nFaces 2408; startFace 77775; } ) // ************************************************************************* // |
|
cellZones1 (96,987 bytes)
/*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 2.3.0 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format binary; class regIOobject; location "1/polyMesh"; object cellZones; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // 1 ( Box1 { type cellZone; cellLabels List<label> 24012 ( !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~ � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~ � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~ � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~�������������������������������������������������������������������������������������������������������������������������������� ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z { | } ~ � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � � !!!!!!!!! ! !!! !!!!!!!!!!!!!!!!!!! !!!"!#!$!%!&!'!(!)!*!+!,!-!.!/!0!1!2!3!4!5!6!7!8!9!:!;!<!=!>!?!@!A!B!C!D!E!F!G!H!I!J!K!L!M!N!O!P!Q!R!S!T!U!V!W!X!Y!Z![!\!]!^!_!`!a!b!c!d!e!f!g!h!i!j!k!l!m!n!o!p!q!r!s!t!u!v!w!x!y!z!{!|!}!~!!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!�!""""""""" " """ """"""""""""""""""" "!"""#"$"%"&"'"(")"*"+","-"."/"0"1"2"3"4"5"6"7"8"9":";"<"=">"?"@"A"B"C"D"E"F"G"H"I"J"K"L"M"N"O"P"Q"R"S"T"U"V"W"X"Y"Z"["\"]"^"_"`"a"b"c"d"e"f"g"h"i"j"k"l"m"n"o"p"q"r"s"t"u"v"w"x"y"z"{"|"}"~""�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"�"######### # ### ################### #!#"###$#%#&#'#(#)#*#+#,#-#.#/#0#1#2#3#4#5#6#7#8#9#:#;#<#=#>#?#@#A#B#C#D#E#F#G#H#I#J#K#L#M#N#O#P#Q#R#S#T#U#V#W#X#Y#Z#[#\#]#^#_#`#a#b#c#d#e#f#g#h#i#j#k#l#m#n#o#p#q#r#s#t#u#v#w#x#y#z#{#|#}#~##�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#�#$$$$$$$$$ $ $$$ $$$$$$$$$$$$$$$$$$$ $!$"$#$$$%$&$'$($)$*$+$,$-$.$/$0$1$2$3$4$5$6$7$8$9$:$;$<$=$>$?$@$A$B$C$D$E$F$G$H$I$J$K$L$M$N$O$P$Q$R$S$T$U$V$W$X$Y$Z$[$\$]$^$_$`$a$b$c$d$e$f$g$h$i$j$k$l$m$n$o$p$q$r$s$t$u$v$w$x$y$z${$|$}$~$$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$�$%%%%%%%%% % %%% %%%%%%%%%%%%%%%%%%% %!%"%#%$%%%&%'%(%)%*%+%,%-%.%/%0%1%2%3%4%5%6%7%8%9%:%;%<%=%>%?%@%A%B%C%D%E%F%G%H%I%J%K%L%M%N%O%P%Q%R%S%T%U%V%W%X%Y%Z%[%\%]%^%_%`%a%b%c%d%e%f%g%h%i%j%k%l%m%n%o%p%q%r%s%t%u%v%w%x%y%z%{%|%}%~%%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%�%&&&&&&&&& & &&& &&&&&&&&&&&&&&&&&&& &!&"&#&$&%&&&'&(&)&*&+&,&-&.&/&0&1&2&3&4&5&6&7&8&9&:&;&<&=&>&?&@&A&B&C&D&E&F&G&H&I&J&K&L&M&N&O&P&Q&R&S&T&U&V&W&X&Y&Z&[&\&]&^&_&`&a&b&c&d&e&f&g&h&i&j&k&l&m&n&o&p&q&r&s&t&u&v&w&x&y&z&{&|&}&~&&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&�&''''''''' ' ''' ''''''''''''''''''' '!'"'#'$'%'&'''(')'*'+','-'.'/'0'1'2'3'4'5'6'7'8'9':';'<'='>'?'@'A'B'C'D'E'F'G'H'I'J'K'L'M'N'O'P'Q'R'S'T'U'V'W'X'Y'Z'['\']'^'_'`'a'b'c'd'e'f'g'h'i'j'k'l'm'n'o'p'q'r's't'u'v'w'x'y'z'{'|'}'~''�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'�'((((((((( ( ((( ((((((((((((((((((( (!("(#($(%(&('((()(*(+(,(-(.(/(0(1(2(3(4(5(6(7(8(9(:(;(<(=(>(?(@(A(B(C(D(E(F(G(H(I(J(K(L(M(N(O(P(Q(R(S(T(U(V(W(X(Y(Z([(\(](^(_(`(a(b(c(d(e(f(g(h(i(j(k(l(m(n(o(p(q(r(s(t(u(v(w(x(y(z({(|(}(~((�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�(�())))))))) ) ))) ))))))))))))))))))) )!)")#)$)%)&)')()))*)+),)-).)/)0)1)2)3)4)5)6)7)8)9):);)<)=)>)?)@)A)B)C)D)E)F)G)H)I)J)K)L)M)N)O)P)Q)R)S)T)U)V)W)X)Y)Z)[)\)])^)_)`)a)b)c)d)e)f)g)h)i)j)k)l)m)n)o)p)q)r)s)t)u)v)w)x)y)z){)|)})~))�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)�)********* * *** ******************* *!*"*#*$*%*&*'*(*)***+*,*-*.*/*0*1*2*3*4*5*6*7*8*9*:*;*<*=*>*?*@*A*B*C*D*E*F*G*H*I*J*K*L*M*N*O*P*Q*R*S*T*U*V*W*X*Y*Z*[*\*]*^*_*`*a*b*c*d*e*f*g*h*i*j*k*l*m*n*o*p*q*r*s*t*u*v*w*x*y*z*{*|*}*~**�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*�*+++++++++ + +++ +++++++++++++++++++ +!+"+#+$+%+&+'+(+)+*+++,+-+.+/+0+1+2+3+4+5+6+7+8+9+:+;+<+=+>+?+@+A+B+C+D+E+F+G+H+I+J+K+L+M+N+O+P+Q+R+S+T+U+V+W+X+Y+Z+[+\+]+^+_+`+a+b+c+d+e+f+g+h+i+j+k+l+m+n+o+p+q+r+s+t+u+v+w+x+y+z+{+|+}+~++�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+�+,,,,,,,,, , ,,, ,,,,,,,,,,,,,,,,,,, ,!,",#,$,%,&,',(,),*,+,,,-,.,/,0,1,2,3,4,5,6,7,8,9,:,;,<,=,>,?,@,A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,[,\,],^,_,`,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,{,|,},~,,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,�,--------- - --- ------------------- -!-"-#-$-%-&-'-(-)-*-+-,---.-/-0-1-2-3-4-5-6-7-8-9-:-;-<-=->-?-@-A-B-C-D-E-F-G-H-I-J-K-L-M-N-O-P-Q-R-S-T-U-V-W-X-Y-Z-[-\-]-^-_-`-a-b-c-d-e-f-g-h-i-j-k-l-m-n-o-p-q-r-s-t-u-v-w-x-y-z-{-|-}-~--�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-�-......... . ... ................... .!.".#.$.%.&.'.(.).*.+.,.-.../.0.1.2.3.4.5.6.7.8.9.:.;.<.=.>.?.@.A.B.C.D.E.F.G.H.I.J.K.L.M.N.O.P.Q.R.S.T.U.V.W.X.Y.Z.[.\.].^._.`.a.b.c.d.e.f.g.h.i.j.k.l.m.n.o.p.q.r.s.t.u.v.w.x.y.z.{.|.}.~..�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.�.///////// / /// /////////////////// /!/"/#/$/%/&/'/(/)/*/+/,/-/.///0/1/2/3/4/5/6/7/8/9/:/;/</=/>/?/@/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/[/\/]/^/_/`/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/{/|/}/~//�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/�/000000000 0 000 0000000000000000000 0!0"0#0$0%0&0'0(0)0*0+0,0-0.0/000102030405060708090:0;0<0=0>0?0@0A0B0C0D0E0F0G0H0I0J0K0L0M0N0O0P0Q0R0S0T0U0V0W0X0Y0Z0[0\0]0^0_0`0a0b0c0d0e0f0g0h0i0j0k0l0m0n0o0p0q0r0s0t0u0v0w0x0y0z0{0|0}0~00�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0�0111111111 1 111 1111111111111111111 1!1"1#1$1%1&1'1(1)1*1+1,1-1.1/101112131415161718191:1;1<1=1>1?1@1A1B1C1D1E1F1G1H1I1J1K1L1M1N1O1P1Q1R1S1T1U1V1W1X1Y1Z1[1\1]1^1_1`1a1b1c1d1e1f1g1h1i1j1k1l1m1n1o1p1q1r1s1t1u1v1w1x1y1z1{1|1}1~11�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1�1222222222 2 222 2222222222222222222 2!2"2#2$2%2&2'2(2)2*2+2,2-2.2/202122232425262728292:2;2<2=2>2?2@2A2B2C2D2E2F2G2H2I2J2K2L2M2N2O2P2Q2R2S2T2U2V2W2X2Y2Z2[2\2]2^2_2`2a2b2c2d2e2f2g2h2i2j2k2l2m2n2o2p2q2r2s2t2u2v2w2x2y2z2{2|2}2~22�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2�2333333333 3 333 3333333333333333333 3!3"3#3$3%3&3'3(3)3*3+3,3-3.3/303132333435363738393:3;3<3=3>3?3@3A3B3C3D3E3F3G3H3I3J3K3L3M3N3O3P3Q3R3S3T3U3V3W3X3Y3Z3[3\3]3^3_3`3a3b3c3d3e3f3g3h3i3j3k3l3m3n3o3p3q3r3s3t3u3v3w3x3y3z3{3|3}3~33�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3�3444444444 4 444 4444444444444444444 4!4"4#4$4%4&4'4(4)4*4+4,4-4.4/404142434445464748494:4;4<4=4>4?4@4A4B4C4D4E4F4G4H4I4J4K4L4M4N4O4P4Q4R4S4T4U4V4W4X4Y4Z4[4\4]4^4_4`4a4b4c4d4e4f4g4h4i4j4k4l4m4n4o4p4q4r4s4t4u4v4w4x4y4z4{4|4}4~44�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4�4555555555 5 555 5555555555555555555 5!5"5#5$5%5&5'5(5)5*5+5,5-5.5/505152535455565758595:5;5<5=5>5?5@5A5B5C5D5E5F5G5H5I5J5K5L5M5N5O5P5Q5R5S5T5U5V5W5X5Y5Z5[5\5]5^5_5`5a5b5c5d5e5f5g5h5i5j5k5l5m5n5o5p5q5r5s5t5u5v5w5x5y5z5{5|5}5~55�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5�5666666666 6 666 6666666666666666666 6!6"6#6$6%6&6'6(6)6*6+6,6-6.6/606162636465666768696:6;6<6=6>6?6@6A6B6C6D6E6F6G6H6I6J6K6L6M6N6O6P6Q6R6S6T6U6V6W6X6Y6Z6[6\6]6^6_6`6a6b6c6d6e6f6g6h6i6j6k6l6m6n6o6p6q6r6s6t6u6v6w6x6y6z6{6|6}6~66�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6�6777777777 7 777 7777777777777777777 7!7"7#7$7%7&7'7(7)7*7+7,7-7.7/707172737475767778797:7;7<7=7>7?7@7A7B7C7D7E7F7G7H7I7J7K7L7M7N7O7P7Q7R7S7T7U7V7W7X7Y7Z7[7\7]7^7_7`7a7b7c7d7e7f7g7h7i7j7k7l7m7n7o7p7q7r7s7t7u7v7w7x7y7z7{7|7}7~77�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7�7888888888 8 888 8888888888888888888 8!8"8#8$8%8&8'8(8)8*8+8,8-8.8/808182838485868788898:8;8<8=8>8?8@8A8B8C8D8E8F8G8H8I8J8K8L8M8N8O8P8Q8R8S8T8U8V8W8X8Y8Z8[8\8]8^8_8`8a8b8c8d8e8f8g8h8i8j8k8l8m8n8o8p8q8r8s8t8u8v8w8x8y8z8{8|8}8~88�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8�8999999999 9 999 9999999999999999999 9!9"9#9$9%9&9'9(9)9*9+9,9-9.9/909192939495969798999:9;9<9=9>9?9@9A9B9C9D9E9F9G9H9I9J9K9L9M9N9O9P9Q9R9S9T9U9V9W9X9Y9Z9[9\9]9^9_9`9a9b9c9d9e9f9g9h9i9j9k9l9m9n9o9p9q9r9s9t9u9v9w9x9y9z9{9|9}9~99�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9�9::::::::: : ::: ::::::::::::::::::: :!:":#:$:%:&:':(:):*:+:,:-:.:/:0:1:2:3:4:5:6:7:8:9:::;:<:=:>:?:@:A:B:C:D:E:F:G:H:I:J:K:L:M:N:O:P:Q:R:S:T:U:V:W:X:Y:Z:[:\:]:^:_:`:a:b:c:d:e:f:g:h:i:j:k:l:m:n:o:p:q:r:s:t:u:v:w:x:y:z:{:|:}:~::�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:�:;;;;;;;;; ; ;;; ;;;;;;;;;;;;;;;;;;; ;!;";#;$;%;&;';(;);*;+;,;-;.;/;0;1;2;3;4;5;6;7;8;9;:;;;<;=;>;?;@;A;B;C;D;E;F;G;H;I;J;K;L;M;N;O;P;Q;R;S;T;U;V;W;X;Y;Z;[;\;];^;_;`;a;b;c;d;e;f;g;h;i;j;k;l;m;n;o;p;q;r;s;t;u;v;w;x;y;z;{;|;};~;;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;�;<<<<<<<<< < <<< <<<<<<<<<<<<<<<<<<< <!<"<#<$<%<&<'<(<)<*<+<,<-<.</<0<1<2<3<4<5<6<7<8<9<:<;<<<=<><?<@<A<B<C<D<E<F<G<H<I<J<K<L<M<N<O<P<Q<R<S<T<U<V<W<X<Y<Z<[<\<]<^<_<`<a<b<c<d<e<f<g<h<i<j<k<l<m<n<o<p<q<r<s<t<u<v<w<x<y<z<{<|<}<~<<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<�<========= = === =================== =!="=#=$=%=&='=(=)=*=+=,=-=.=/=0=1=2=3=4=5=6=7=8=9=:=;=<===>=?=@=A=B=C=D=E=F=G=H=I=J=K=L=M=N=O=P=Q=R=S=T=U=V=W=X=Y=Z=[=\=]=^=_=`=a=b=c=d=e=f=g=h=i=j=k=l=m=n=o=p=q=r=s=t=u=v=w=x=y=z={=|=}=~==�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=�=>>>>>>>>> > >>> >>>>>>>>>>>>>>>>>>> >!>">#>$>%>&>'>(>)>*>+>,>->.>/>0>1>2>3>4>5>6>7>8>9>:>;><>=>>>?>@>A>B>C>D>E>F>G>H>I>J>K>L>M>N>O>P>Q>R>S>T>U>V>W>X>Y>Z>[>\>]>^>_>`>a>b>c>d>e>f>g>h>i>j>k>l>m>n>o>p>q>r>s>t>u>v>w>x>y>z>{>|>}>~>>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>�>????????? ? ??? ??????????????????? ?!?"?#?$?%?&?'?(?)?*?+?,?-?.?/?0?1?2?3?4?5?6?7?8?9?:?;?<?=?>???@?A?B?C?D?E?F?G?H?I?J?K?L?M?N?O?P?Q?R?S?T?U?V?W?X?Y?Z?[?\?]?^?_?`?a?b?c?d?e?f?g?h?i?j?k?l?m?n?o?p?q?r?s?t?u?v?w?x?y?z?{?|?}?~??�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?�?@@@@@@@@@ @ @@@ @@@@@@@@@@@@@@@@@@@ @!@"@#@$@%@&@'@(@)@*@+@,@-@.@/@0@1@2@3@4@5@6@7@8@9@:@;@<@=@>@?@@@A@B@C@D@E@F@G@H@I@J@K@L@M@N@O@P@Q@R@S@T@U@V@W@X@Y@Z@[@\@]@^@_@`@a@b@c@d@e@f@g@h@i@j@k@l@m@n@o@p@q@r@s@t@u@v@w@x@y@z@{@|@}@~@@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@�@AAAAAAAAA A AAA AAAAAAAAAAAAAAAAAAA A!A"A#A$A%A&A'A(A)A*A+A,A-A.A/A0A1A2A3A4A5A6A7A8A9A:A;A<A=A>A?A@AAABACADAEAFAGAHAIAJAKALAMANAOAPAQARASATAUAVAWAXAYAZA[A\A]A^A_A`AaAbAcAdAeAfAgAhAiAjAkAlAmAnAoApAqArAsAtAuAvAwAxAyAzA{A|A}A~AA�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�A�ABBBBBBBBB B BBB BBBBBBBBBBBBBBBBBBB B!B"B#B$B%B&B'B(B)B*B+B,B-B.B/B0B1B2B3B4B5B6B7B8B9B:B;B<B=B>B?B@BABBBCBDBEBFBGBHBIBJBKBLBMBNBOBPBQBRBSBTBUBVBWBXBYBZB[B\B]B^B_B`BaBbBcBdBeBfBgBhBiBjBkBlBmBnBoBpBqBrBsBtBuBvBwBxByBzB{B|B}B~BB�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�B�BCCCCCCCCC C CCC CCCCCCCCCCCCCCCCCCC C!C"C#C$C%C&C'C(C)C*C+C,C-C.C/C0C1C2C3C4C5C6C7C8C9C:C;C<C=C>C?C@CACBCCCDCECFCGCHCICJCKCLCMCNCOCPCQCRCSCTCUCVCWCXCYCZC[C\C]C^C_C`CaCbCcCdCeCfCgChCiCjCkClCmCnCoCpCqCrCsCtCuCvCwCxCyCzC{C|C}C~CC�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�C�CDDDDDDDDD D DDD DDDDDDDDDDDDDDDDDDD D!D"D#D$D%D&D'D(D)D*D+D,D-D.D/D0D1D2D3D4D5D6D7D8D9D:D;D<D=D>D?D@DADBDCDDDEDFDGDHDIDJDKDLDMDNDODPDQDRDSDTDUDVDWDXDYDZD[D\D]D^D_D`DaDbDcDdDeDfDgDhDiDjDkDlDmDnDoDpDqDrDsDtDuDvDwDxDyDzD{D|D}D~DD�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�D�DEEEEEEEEE E EEE EEEEEEEEEEEEEEEEEEE E!E"E#E$E%E&E'E(E)E*E+E,E-E.E/E0E1E2E3E4E5E6E7E8E9E:E;E<E=E>E?E@EAEBECEDEEEFEGEHEIEJEKELEMENEOEPEQERESETEUEVEWEXEYEZE[E\E]E^E_E`EaEbEcEdEeEfEgEhEiEjEkElEmEnEoEpEqErEsEtEuEvEwExEyEzE{E|E}E~EE�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�E�EFFFFFFFFF F FFF FFFFFFFFFFFFFFFFFFF F!F"F#F$F%F&F'F(F)F*F+F,F-F.F/F0F1F2F3F4F5F6F7F8F9F:F;F<F=F>F?F@FAFBFCFDFEFFFGFHFIFJFKFLFMFNFOFPFQFRFSFTFUFVFWFXFYFZF[F\F]F^F_F`FaFbFcFdFeFfFgFhFiFjFkFlFmFnFoFpFqFrFsFtFuFvFwFxFyFzF{F|F}F~FF�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�F�FGGGGGGGGG G GGG GGGGGGGGGGGGGGGGGGG G!G"G#G$G%G&G'G(G)G*G+G,G-G.G/G0G1G2G3G4G5G6G7G8G9G:G;G<G=G>G?G@GAGBGCGDGEGFGGGHGIGJGKGLGMGNGOGPGQGRGSGTGUGVGWGXGYGZG[G\G]G^G_G`GaGbGcGdGeGfGgGhGiGjGkGlGmGnGoGpGqGrGsGtGuGvGwGxGyGzG{G|G}G~GG�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�G�GHHHHHHHHH H HHH HHHHHHHHHHHHHHHHHHH H!H"H#H$H%H&H'H(H)H*H+H,H-H.H/H0H1H2H3H4H5H6H7H8H9H:H;H<H=H>H?H@HAHBHCHDHEHFHGHHHIHJHKHLHMHNHOHPHQHRHSHTHUHVHWHXHYHZH[H\H]H^H_H`HaHbHcHdHeHfHgHhHiHjHkHlHmHnHoHpHqHrHsHtHuHvHwHxHyHzH{H|H}H~HH�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�H�HIIIIIIIII I III IIIIIIIIIIIIIIIIIII I!I"I#I$I%I&I'I(I)I*I+I,I-I.I/I0I1I2I3I4I5I6I7I8I9I:I;I<I=I>I?I@IAIBICIDIEIFIGIHIIIJIKILIMINIOIPIQIRISITIUIVIWIXIYIZI[I\I]I^I_I`IaIbIcIdIeIfIgIhIiIjIkIlImInIoIpIqIrIsItIuIvIwIxIyIzI{I|I}I~II�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�I�IJJJJJJJJJ J JJJ JJJJJJJJJJJJJJJJJJJ J!J"J#J$J%J&J'J(J)J*J+J,J-J.J/J0J1J2J3J4J5J6J7J8J9J:J;J<J=J>J?J@JAJBJCJDJEJFJGJHJIJJJKJLJMJNJOJPJQJRJSJTJUJVJWJXJYJZJ[J\J]J^J_J`JaJbJcJdJeJfJgJhJiJjJkJlJmJnJoJpJqJrJsJtJuJvJwJxJyJzJ{J|J}J~JJ�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�J�JKKKKKKKKK K KKK KKKKKKKKKKKKKKKKKKK K!K"K#K$K%K&K'K(K)K*K+K,K-K.K/K0K1K2K3K4K5K6K7K8K9K:K;K<K=K>K?K@KAKBKCKDKEKFKGKHKIKJKKKLKMKNKOKPKQKRKSKTKUKVKWKXKYKZK[K\K]K^K_K`KaKbKcKdKeKfKgKhKiKjKkKlKmKnKoKpKqKrKsKtKuKvKwKxKyKzK{K|K}K~KK�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�K�KLLLLLLLLL L LLL LLLLLLLLLLLLLLLLLLL L!L"L#L$L%L&L'L(L)L*L+L,L-L.L/L0L1L2L3L4L5L6L7L8L9L:L;L<L=L>L?L@LALBLCLDLELFLGLHLILJLKLLLMLNLOLPLQLRLSLTLULVLWLXLYLZL[L\L]L^L_L`LaLbLcLdLeLfLgLhLiLjLkLlLmLnLoLpLqLrLsLtLuLvLwLxLyLzL{L|L}L~LL�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�L�LMMMMMMMMM M MMM MMMMMMMMMMMMMMMMMMM M!M"M#M$M%M&M'M(M)M*M+M,M-M.M/M0M1M2M3M4M5M6M7M8M9M:M;M<M=M>M?M@MAMBMCMDMEMFMGMHMIMJMKMLMMMNMOMPMQMRMSMTMUMVMWMXMYMZM[M\M]M^M_M`MaMbMcMdMeMfMgMhMiMjMkMlMmMnMoMpMqMrMsMtMuMvMwMxMyMzM{M|M}M~MM�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�M�MNNNNNNNNN N NNN NNNNNNNNNNNNNNNNNNN N!N"N#N$N%N&N'N(N)N*N+N,N-N.N/N0N1N2N3N4N5N6N7N8N9N:N;N<N=N>N?N@NANBNCNDNENFNGNHNINJNKNLNMNNNONPNQNRNSNTNUNVNWNXNYNZN[N\N]N^N_N`NaNbNcNdNeNfNgNhNiNjNkNlNmNnNoNpNqNrNsNtNuNvNwNxNyNzN{N|N}N~NN�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�N�NOOOOOOOOO O OOO OOOOOOOOOOOOOOOOOOO O!O"O#O$O%O&O'O(O)O*O+O,O-O.O/O0O1O2O3O4O5O6O7O8O9O:O;O<O=O>O?O@OAOBOCODOEOFOGOHOIOJOKOLOMONOOOPOQOROSOTOUOVOWOXOYOZO[O\O]O^O_O`OaObOcOdOeOfOgOhOiOjOkOlOmOnOoOpOqOrOsOtOuOvOwOxOyOzO{O|O}O~OO�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�O�OPPPPPPPPP P PPP PPPPPPPPPPPPPPPPPPP P!P"P#P$P%P&P'P(P)P*P+P,P-P.P/P0P1P2P3P4P5P6P7P8P9P:P;P<P=P>P?P@PAPBPCPDPEPFPGPHPIPJPKPLPMPNPOPPPQPRPSPTPUPVPWPXPYPZP[P\P]P^P_P`PaPbPcPdPePfPgPhPiPjPkPlPmPnPoPpPqPrPsPtPuPvPwPxPyPzP{P|P}P~PP�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�P�PQQQQQQQQQ Q QQQ QQQQQQQQQQQQQQQQQQQ Q!Q"Q#Q$Q%Q&Q'Q(Q)Q*Q+Q,Q-Q.Q/Q0Q1Q2Q3Q4Q5Q6Q7Q8Q9Q:Q;Q<Q=Q>Q?Q@QAQBQCQDQEQFQGQHQIQJQKQLQMQNQOQPQQQRQSQTQUQVQWQXQYQZQ[Q\Q]Q^Q_Q`QaQbQcQdQeQfQgQhQiQjQkQlQmQnQoQpQqQrQsQtQuQvQwQxQyQzQ{Q|Q}Q~QQ�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�Q�QRRRRRRRRR R RRR RRRRRRRRRRRRRRRRRRR R!R"R#R$R%R&R'R(R)R*R+R,R-R.R/R0R1R2R3R4R5R6R7R8R9R:R;R<R=R>R?R@RARBRCRDRERFRGRHRIRJRKRLRMRNRORPRQRRRSRTRURVRWRXRYRZR[R\R]R^R_R`RaRbRcRdReRfRgRhRiRjRkRlRmRnRoRpRqRrRsRtRuRvRwRxRyRzR{R|R}R~RR�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�R�RSSSSSSSSS S SSS SSSSSSSSSSSSSSSSSSS S!S"S#S$S%S&S'S(S)S*S+S,S-S.S/S0S1S2S3S4S5S6S7S8S9S:S;S<S=S>S?S@SASBSCSDSESFSGSHSISJSKSLSMSNSOSPSQSRSSSTSUSVSWSXSYSZS[S\S]S^S_S`SaSbScSdSeSfSgShSiSjSkSlSmSnSoSpSqSrSsStSuSvSwSxSySzS{S|S}S~SS�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�S�STTTTTTTTT T TTT TTTTTTTTTTTTTTTTTTT T!T"T#T$T%T&T'T(T)T*T+T,T-T.T/T0T1T2T3T4T5T6T7T8T9T:T;T<T=T>T?T@TATBTCTDTETFTGTHTITJTKTLTMTNTOTPTQTRTSTTTUTVTWTXTYTZT[T\T]T^T_T`TaTbTcTdTeTfTgThTiTjTkTlTmTnToTpTqTrTsTtTuTvTwTxTyTzT{T|T}T~TT�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�T�TUUUUUUUUU U UUU UUUUUUUUUUUUUUUUUUU U!U"U#U$U%U&U'U(U)U*U+U,U-U.U/U0U1U2U3U4U5U6U7U8U9U:U;U<U=U>U?U@UAUBUCUDUEUFUGUHUIUJUKULUMUNUOUPUQURUSUTUUUVUWUXUYUZU[U\U]U^U_U`UaUbUcUdUeUfUgUhUiUjUkUlUmUnUoUpUqUrUsUtUuUvUwUxUyUzU{U|U}U~UU�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�U�UVVVVVVVVV V VVV VVVVVVVVVVVVVVVVVVV V!V"V#V$V%V&V'V(V)V*V+V,V-V.V/V0V1V2V3V4V5V6V7V8V9V:V;V<V=V>V?V@VAVBVCVDVEVFVGVHVIVJVKVLVMVNVOVPVQVRVSVTVUVVVWVXVYVZV[V\V]V^V_V`VaVbVcVdVeVfVgVhViVjVkVlVmVnVoVpVqVrVsVtVuVvVwVxVyVzV{V|V}V~VV�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�V�VWWWWWWWWW W WWW WWWWWWWWWWWWWWWWWWW W!W"W#W$W%W&W'W(W)W*W+W,W-W.W/W0W1W2W3W4W5W6W7W8W9W:W;W<W=W>W?W@WAWBWCWDWEWFWGWHWIWJWKWLWMWNWOWPWQWRWSWTWUWVWWWXWYWZW[W\W]W^W_W`WaWbWcWdWeWfWgWhWiWjWkWlWmWnWoWpWqWrWsWtWuWvWwWxWyWzW{W|W}W~WW�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�W�WXXXXXXXXX X XXX XXXXXXXXXXXXXXXXXXX X!X"X#X$X%X&X'X(X)X*X+X,X-X.X/X0X1X2X3X4X5X6X7X8X9X:X;X<X=X>X?X@XAXBXCXDXEXFXGXHXIXJXKXLXMXNXOXPXQXRXSXTXUXVXWXXXYXZX[X\X]X^X_X`XaXbXcXdXeXfXgXhXiXjXkXlXmXnXoXpXqXrXsXtXuXvXwXxXyXzX{X|X}X~XX�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�X�XYYYYYYYYY Y YYY YYYYYYYYYYYYYYYYYYY Y!Y"Y#Y$Y%Y&Y'Y(Y)Y*Y+Y,Y-Y.Y/Y0Y1Y2Y3Y4Y5Y6Y7Y8Y9Y:Y;Y<Y=Y>Y?Y@YAYBYCYDYEYFYGYHYIYJYKYLYMYNYOYPYQYRYSYTYUYVYWYXYYYZY[Y\Y]Y^Y_Y`YaYbYcYdYeYfYgYhYiYjYkYlYmYnYoYpYqYrYsYtYuYvYwYxYyYzY{Y|Y}Y~YY�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�Y�YZZZZZZZZZ Z ZZZ ZZZZZZZZZZZZZZZZZZZ Z!Z"Z#Z$Z%Z&Z'Z(Z)Z*Z+Z,Z-Z.Z/Z0Z1Z2Z3Z4Z5Z6Z7Z8Z9Z:Z;Z<Z=Z>Z?Z@ZAZBZCZDZEZFZGZHZIZJZKZLZMZNZOZPZQZRZSZTZUZVZWZXZYZZZ[Z\Z]Z^Z_Z`ZaZbZcZdZeZfZgZhZiZjZkZlZmZnZoZpZqZrZsZtZuZvZwZxZyZzZ{Z|Z}Z~ZZ�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z�Z[[[[[[[[[ [ [[[ [[[[[[[[[[[[[[[[[[[ [!["[#[$[%[&['[([)[*[+[,[-[.[/[0[1[2[3[4[5[6[7[8[9[:[;[<[=[>[?[@[A[B[C[D[E[F[G[H[I[J[K[L[M[N[O[P[Q[R[S[T[U[V[W[X[Y[Z[[[\[][^[_[`[a[b[c[d[e[f[g[h[i[j[k[l[m[n[o[p[q[r[s[t[u[v[w[x[y[z[{[|[}[~[[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[�[\\\\\\\\\ \ \\\ \\\\\\\\\\\\\\\\\\\ \!\"\#\$\%\&\'\(\)\*\+\,\-\.\/\0\1\2\3\4\5\6\7\8\9\:\;\<\=\>\?\@\A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z\[\\\]\^\_\`\a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z\{\|\}\~\\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\�\]]]]]]]]] ] ]]] ]]]]]]]]]]]]]]]]]]] ]!]"]#]$]%]&]'](])]*]+],]-].]/]0]1]2]3]4]5]6]7]8]9]:];]<]=]>]?]@]A]B]C]D]E]F]G]H]I]J]K]L]M]N]O]P]Q]R]S]T]U]V]W]X]Y]Z][]\]]]^]_]`]a]b]c]d]e]f]g]h]i]j]k]l]m]n]o]p]q]r]s]t]u]v]w]x]y]z]{]|]}]~]]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]�]); } ) // ************************************************************************* // |
|
|
|
|
|
|
|
|
|
now I uploaded the polymesh files. the right one a the ending 1. |
|
Can you provide an Allrun script to reproduce the error? |
|
Allrun (657 bytes)
#!/bin/sh cd ${0%/*} || exit 1 # run from this directory # Source tutorial run functions . $WM_PROJECT_DIR/bin/tools/RunFunctions folder=`pwd` mkdir $folder/0 mkdir $folder/0/polyMesh mkdir $folder/system mv boundary1 $folder/0/polyMesh/boundary mv cellZones1 $folder/0/polyMesh/cellZones mv faces1 $folder/0/polyMesh/faces mv neighbour1 $folder/0/polyMesh/neighbour mv owner1 $folder/0/polyMesh/owner mv points1 $folder/0/polyMesh/points mv controlDict $folder/system/controlDict mv fvSchemes $folder/system/fvSchemes mv fvSolution $folder/system/fvSolution mv probesDict $folder/system/probesDict runApplication probeLocations > probeLocations.log |
|
controlDict (1,332 bytes)
/*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 2.3.0 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; object controlDict; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // //( // "libOpenFOAM.so" // "libincompressibleTurbulenceModel.so" // "libincompressibleRASModels.so" //); application simpleFoam; startFrom startTime; // latestTime; startTime 0; stopAt endTime; endTime 1170; deltaT 1; writeControl timeStep; writeInterval 500; purgeWrite 0; writeFormat binary; writePrecision 6; writeCompression uncompressed; timeFormat general; timePrecision 6; runTimeModifiable true; // ************************************************************************* // |
|
fvSchemes (1,461 bytes)
/*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 2.3.0 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; object fvSchemes; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // ddtSchemes { default steadyState; } gradSchemes { default Gauss linear; grad(U) cellLimited Gauss linear 1; } divSchemes { default none; div(phi,U) bounded Gauss upwind; div(phi,k) bounded Gauss upwind; div(phi,omega) bounded Gauss upwind; div(phi,epsilon) bounded Gauss upwind; div((nuEff*dev(T(grad(U))))) Gauss linear; } laplacianSchemes { default Gauss linear corrected; } interpolationSchemes { default linear; } snGradSchemes { default corrected; } fluxRequired { default no; p; } // ************************************************************************* // |
|
fvSolution (2,273 bytes)
/*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 2.3.0 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; object fvSolution; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // solvers { p { solver GAMG; tolerance 1e-7; relTol 0.01; smoother GaussSeidel; nPreSweeps 0; nPostSweeps 2; cacheAgglomeration on; agglomerator faceAreaPair; nCellsInCoarsestLevel 10; mergeLevels 1; } U { solver smoothSolver; smoother GaussSeidel; tolerance 1e-8; relTol 0.1; nSweeps 1; } k { solver smoothSolver; smoother GaussSeidel; tolerance 1e-8; relTol 0.1; nSweeps 1; } omega { solver smoothSolver; smoother GaussSeidel; tolerance 1e-8; relTol 0.1; nSweeps 1; } epsilon { solver smoothSolver; smoother GaussSeidel; tolerance 1e-8; relTol 0.1; nSweeps 1; } } SIMPLE { nNonOrthogonalCorrectors 5; } potentialFlow { nNonOrthogonalCorrectors 10; } relaxationFactors { fields { p 0.3; } equations { U 0.7; k 0.7; omega 0.7; epsilon 0.7; } } cache { grad(U); } // ************************************************************************* // |
|
probesDict (1,011 bytes)
/*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 2.0.0 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; object probesDict; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // fields (U k); //probes1 //{ //type probes; //functionObjectLibs ("libsampling.so"); //interpolationScheme cellPoint; probeLocations ( (75807 23610 93.9994 ) (75523 23884 94.6692 ) (75454 23812 118.162 ) (75746 23540 119.024 ) ); //fields ( U k ); //} |
|
I uploaded a Allrun file. just copy all file above (exept checkmesh.out boundary and cellZones) to a folder and execute Allrun. The output of the probeLocation application is stored in the log.probeLocation file. All points in the probesDict are located in the domain. The 4th point is not found by the application probeLocation. |
|
As far as I've understood, the function pointInCell takes the scalar products of the face normals with the vector pointing from the face center to the point to check if it lies insied the cell. If all scalar products are negative, the point lies inside the cell. I think that for concave cells this algorithm fails. I attechad a sketch where I show the ares of the cell for which the algorithm fails. (only in 2D but I think it applies also for the more general case). |
|
|
|
Indeed, and I am testing a change to use the methed used in the lagrangian library which will handle concave cells provided that all face-pyramids are positive which is the current restriction for tracking. I should be able to push this fix later today. Thanks for the excellent test-case. this really accelerated debugging. |
|
Resolved by commit 3321553039b607239b3d46121c1976546dc1a1b0 |
|
I'd like to open this report again. The current (230+) implementation of cellRepresentation modes FACECENTRETETS and FACEDIAGTETS is not very useful since only applicable to concave cells. I propose we either - revert to the 22x implementation which checked the tets individually. This would make the FACEDIAGTETS mode equivalent to CELL_TETS. or - replace the uses of FACEDIAGTETS with CELL_TETS: OpenFOAM/meshes/polyMesh/polyMesh.C: replace all & add to findCell for triggering of tetBasePtIs() lagrangian/basic/InteractionLists/InteractionLists.C: replace all meshTools/meshSearch/meshSearch.H: replace all meshTools/meshSearch/meshSearch.C: add to triggering of tetBasePtIs() No need to replace: meshTools/mappedPatches/mappedPolyPatch/mappedPatchBase.C: no need to replace postProcessing/functionObjects/field/nearWallFields/nearWallFields.C: no need to replace sampling/sampledSet/patchSeed/patchSeedSet.C: no need to replace |
|
> OpenFOAM/meshes/polyMesh/polyMesh.C: replace all & add to findCell for triggering of tetBasePtIs() I am not sure what should be replaced with what. In OpenFOAM-dev CELL_TETS is already used in pointInCell and neither FACECENTRETETS or FACEDIAGTETS are present as this part of the code has already been significantly changed. Could you provide details of exactly what changes you would like made to OpenFOAM-dev with rationale? |
|
In OpenFOAM-dev FACEDIAGTETS is defined in dynamicMesh/polyTopoChange/polyTopoChange/tetDecomposer.H but not used explicitly, it appears to be implicitly used as the default alternative to FACECENTRETETS. Given that the eptions are defined as an enumeration it would seem more logical to use a switch/case statement or would you rather the FACEDIAGTETS removed/replaced? |
|
Above is for 2.4.x. In dev: - polyMesh::findCell: you want to do '(void)tetBasePtIs()' for CELL_TETS as well as FACE_DIAG_TRIS. This is to handle parallel running with 0 cells on one of the domains. - meshSearch::meshSearch: same for both constructors - sampling/meshToMesh0/calculateMeshToMesh0Addressing.C: change to use CELL_TETS in the constructor of treeDataCell. The treeDataCell is the container for the indexedOctree and passes the cellDecomposition on to the polyMesh::pointInCell to do the actual test. It makes sense to use CELL_TETS. |
|
> Above is for 2.4.x OK but I do not understand the changes you want. > polyMesh::findCell: you want to do '(void)tetBasePtIs()' This is rather vague > meshSearch::meshSearch: same for both constructors This is very vague. It is not clear what you want changed and it would be risky for me to guess in the hope that it what you want and works correctly. Also given that I am guessing the changes someone would need to spend some time carefully testing the changes. > sampling/meshToMesh0/calculateMeshToMesh0Addressing.C: change to use CELL_TETS in the constructor of treeDataCell This is unambiguous, I will make this change. |
|
See commit fc4ecc22ec780be2e9ab0d1dbe11dedd040f9568 in OpenFOAM-dev |
|
dynamicMesh/polyTopoChange/polyTopoChange/tetDecomposer : feel free to make the logic into a switch statement. 2) The enumeration names should ideally be consistent with those of the polyMesh so FACE_CENTRE_TRIS, FACE_DIAG_TRIS instead of FACECENTRETETS, FACEDIAGTETS polyMesh::findCell, meshSearch : I'll think about it. The change is only relevant for running in parallel with zero cells on one of the domains. |
|
> The enumeration names should ideally be consistent with those of the polyMesh Could the enumeration in polyMesh be used or does an independent one need to be defined for this class? > polyMesh::findCell, meshSearch : I'll think about it. The change is only > relevant for running in parallel with zero cells on one of the domains. I am happy to make whatever change is needed for this but I do understand your suggested change well enough to implement it. If you can be more specific it would help. |
|
The enumeration in polyMesh could be used - the only one that does not make sense is FACE_PLANES. Both FACE_DIAG_TRIS and CELL_TETS do the same. polyMesh::findCell: line 1504 : this test needs to move up to the top of the function and include CELL_TETS if (Pstream::parRun() && (decompMode == FACE_DIAG_TRIS || decompMode == CELL_TETS)) Why? In parallel you might have 0 cells on one of the domains. So this domain never enters pointInCell, and would never trigger building of tetBasePtIs. (the building of tetBasePtIs uses parallel communication to determine coupled faces) |
|
Resolved by commit 34e062daab1575c7e698ef3c7296b07b84bbd232 |
|
Thanks. |
Date Modified | Username | Field | Change |
---|---|---|---|
2015-02-20 15:46 | michael2015 | New Issue | |
2015-02-20 15:49 | henry | Note Added: 0003842 | |
2015-02-20 15:58 | michael2015 | Note Added: 0003843 | |
2015-02-20 16:12 | henry | Note Added: 0003844 | |
2015-02-23 11:47 | michael2015 | Note Added: 0003860 | |
2015-02-23 12:36 | henry | Note Added: 0003861 | |
2015-02-23 12:51 | michael2015 | Note Added: 0003862 | |
2015-02-23 12:51 | michael2015 | File Added: checkMesh.out | |
2015-02-23 12:52 | michael2015 | Note Added: 0003863 | |
2015-02-23 12:57 | henry | Note Added: 0003864 | |
2015-02-23 13:15 | michael2015 | Note Added: 0003865 | |
2015-02-23 13:22 | henry | Note Added: 0003866 | |
2015-02-23 14:08 | michael2015 | Note Added: 0003867 | |
2015-02-23 15:04 | henry | Note Added: 0003869 | |
2015-02-23 15:41 | michael2015 | File Added: boundary | |
2015-02-23 15:41 | michael2015 | File Added: cellZones | |
2015-02-23 15:50 | michael2015 | File Added: boundary1 | |
2015-02-23 15:50 | michael2015 | File Added: cellZones1 | |
2015-02-23 15:51 | michael2015 | File Added: faces1 | |
2015-02-23 15:51 | michael2015 | File Added: neighbour1 | |
2015-02-23 15:51 | michael2015 | File Added: owner1 | |
2015-02-23 15:51 | michael2015 | File Added: points1 | |
2015-02-23 15:52 | michael2015 | Note Added: 0003870 | |
2015-02-23 16:24 | henry | Note Added: 0003871 | |
2015-02-23 17:16 | michael2015 | File Added: Allrun | |
2015-02-23 17:16 | michael2015 | File Added: controlDict | |
2015-02-23 17:17 | michael2015 | File Added: fvSchemes | |
2015-02-23 17:17 | michael2015 | File Added: fvSolution | |
2015-02-23 17:17 | michael2015 | File Added: probesDict | |
2015-02-23 17:21 | michael2015 | Note Added: 0003872 | |
2015-02-24 10:05 | michael2015 | Note Added: 0003879 | |
2015-02-24 10:06 | michael2015 | File Added: SKM_C224e15022417550.pdf | |
2015-02-24 10:27 | henry | Note Added: 0003880 | |
2015-02-24 16:55 | henry | Note Added: 0003885 | |
2015-02-24 16:55 | henry | Status | new => resolved |
2015-02-24 16:55 | henry | Resolution | open => fixed |
2015-02-24 16:55 | henry | Assigned To | => henry |
2015-06-11 12:56 |
|
Note Added: 0004904 | |
2015-06-11 14:17 | henry | Note Added: 0004905 | |
2015-06-11 15:09 | henry | Note Added: 0004907 | |
2015-06-11 15:18 |
|
Note Added: 0004908 | |
2015-06-11 15:27 | henry | Note Added: 0004909 | |
2015-06-11 15:51 | henry | Note Added: 0004910 | |
2015-06-11 15:56 |
|
Note Added: 0004911 | |
2015-06-11 16:01 | henry | Note Added: 0004912 | |
2015-06-11 17:13 |
|
Note Added: 0004913 | |
2015-06-11 17:47 | henry | Note Added: 0004914 | |
2015-06-12 08:54 |
|
Note Added: 0004916 |