From f230958a8d47f0c5fe7670138a0c89ce040626cc Mon Sep 17 00:00:00 2001 From: Marius Kurz <89786890+m-kurz@users.noreply.github.com> Date: Mon, 20 Mar 2023 17:12:24 +0100 Subject: [PATCH] RBF curving (#6) * Added Volume curving using a radial basis function interpolation of the displacement of the curved boundary sides to the volume points. * Add remaining RBF types, scale global support RBF types with SupportRadius (set to 1 to recover original formulation) * Fixed wrong indizes in RBF coefficient calculations. Some RBFs need special threatment to avoid NANs since calculations of log(0) can occur. * Also use the corner nodes of all elements as base points for the RBF interpolation. This way, e.g. the cell height in a BL mesh will not be affected. * Move RBF curving after zCorrection * RBF curving is only done inside of a user-defined box * Update and declutterng of comments. * Also only evaluate the interpolation inside the box * Use LAPACK routines to directly solve the linear System, not to invert the Matrix and apply using MATMUL. * Z correction for RBF curving to undo any 3D effects introduced for extruded meshes * Fix bug in RBF curving, different conditions for the bounding box where applied when counting the RBF control points and when storing them, leading to a singular matrix * Allow for multiple RBF boxes * Only curve all or no nodes of an element * Example for RBF curving * Correctly count RBF control if the first is outside the bounding box but others inside * Only add complete elements, remove print statement * Update .gitlab-ci.yml * Clean standard values for RBF bounding box limits xlim and ylim and cleaner fomatting of parameter file for RBF tutorial * Move RBF tutorial to avoid clash with numbering of tutorials added prior. * Address comments of code review. Remove distance function between points by the NORM2 intrinsic, clean up the if-conditions in the RBF implementation and replace the bary-center with the bounding box of an elemenet to check whether it resides within the current RBF domain * Reduced image file sizes (changed total file size from 25M to 3.4M). --------- Co-authored-by: iagkrais Co-authored-by: Patrick Kopper Co-authored-by: Marcel Blind Co-authored-by: Stephen Copplestone --- src/globals.f90 | 42 + src/mesh/mesh.f90 | 42 +- src/mesh/mesh_vars.f90 | 7 + src/mesh/rbf.f90 | 580 + src/mesh/zcorrection.f90 | 55 +- .../comparison/RBFType01Comparison.jpg | Bin 0 -> 279878 bytes .../comparison/RBFType02Comparison.jpg | Bin 0 -> 280836 bytes .../comparison/RBFType03Comparison.jpg | Bin 0 -> 280766 bytes .../comparison/RBFType04Comparison.jpg | Bin 0 -> 282454 bytes .../comparison/RBFType05Comparison.jpg | Bin 0 -> 281127 bytes .../comparison/RBFType06Comparison.jpg | Bin 0 -> 281100 bytes .../comparison/RBFType07Comparison.jpg | Bin 0 -> 280197 bytes .../comparison/RBFType08Comparison.jpg | Bin 0 -> 280854 bytes .../comparison/RBFType09Comparison.jpg | Bin 0 -> 279773 bytes .../comparison/RBFType10Comparison.jpg | Bin 0 -> 278599 bytes .../comparison/RBFType11Comparison.jpg | Bin 0 -> 280372 bytes .../comparison/RBFType12Comparison.jpg | Bin 0 -> 69194 bytes .../comparison/RBFType13Comparison.jpg | Bin 0 -> 197928 bytes .../comparison/RBFType14Comparison.jpg | Bin 0 -> 149692 bytes .../meshVisu.pvsm | 13350 ++++++++++++++++ .../naca0012_omg.cgns | Bin 0 -> 131072 bytes .../naca0012_omg_split.cgns | Bin 0 -> 65536 bytes .../parameter_hopr.ini | 59 + 23 files changed, 14111 insertions(+), 24 deletions(-) create mode 100644 src/mesh/rbf.f90 create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType01Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType02Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType03Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType04Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType05Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType06Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType07Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType08Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType09Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType10Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType11Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType12Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType13Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/comparison/RBFType14Comparison.jpg create mode 100644 tutorials/2-07-external_NACA_RBFcurving/meshVisu.pvsm create mode 100644 tutorials/2-07-external_NACA_RBFcurving/naca0012_omg.cgns create mode 100644 tutorials/2-07-external_NACA_RBFcurving/naca0012_omg_split.cgns create mode 100644 tutorials/2-07-external_NACA_RBFcurving/parameter_hopr.ini diff --git a/src/globals.f90 b/src/globals.f90 index 3b0a628..b50461f 100644 --- a/src/globals.f90 +++ b/src/globals.f90 @@ -94,6 +94,10 @@ MODULE MOD_Globals MODULE PROCEDURE getInverse END INTERFACE +INTERFACE SolveLinSys + MODULE PROCEDURE SolveLinSys +END INTERFACE + INTERFACE SUBROUTINE setstacksizeunlimited() BIND(C) END SUBROUTINE setstacksizeunlimited @@ -384,4 +388,42 @@ FUNCTION GetInverse(dim1,A) RESULT(Ainv) END IF END FUNCTION GetInverse + +SUBROUTINE SolveLinSys(dim1,nRHS,A,B) +!=================================================================================================================================== +! Solve liner system A*X=B using LAPACK routines. A will be overwritten in the process! Multiple RHS possible. +!=================================================================================================================================== +! MODULES +! IMPLICIT VARIABLE HANDLING +IMPLICIT NONE +!----------------------------------------------------------------------------------------------------------------------------------- +! INPUT VARIABLES +INTEGER, INTENT(IN) :: dim1 ! size of matrix A +INTEGER,INTENT(IN) :: nRHS ! number of right hand sides +REAL,INTENT(INOUT) :: A(dim1,dim1) ! System matrix +REAL,INTENT(INOUT) :: B(dim1,nRHS) ! Right hand side of the system +!----------------------------------------------------------------------------------------------------------------------------------- +!----------------------------------------------------------------------------------------------------------------------------------- +! LOCAL VARIABLES +INTEGER :: IPIV(dim1),INFO,lwork ! ? +REAL :: WORK(dim1*dim1) ! ? +!=================================================================================================================================== +! DGETRF computes an LU factorization of a general M-by-N matrix A +! using partial pivoting with row interchanges. A will be overwritten with LU factorization. +CALL DGETRF(dim1, dim1, A, dim1, IPIV, INFO) + +IF (INFO.NE.0) THEN + CALL abort(__STAMP__,'SolveLinSys(dim1,nRHS,A,B): MATRIX A IS NUMERICALLY SINGULAR! INFO = ',IntInfoOpt=INFO) +END IF + +! DGETRES computes the solution to the liner system A*X=B using the factorization +! computed by DGETRF. +CALL DGETRS('N', dim1, nRHS, A, dim1, IPIV, B, dim1, INFO) + +IF (INFO.NE.0) THEN + CALL abort(__STAMP__,'SolveLinSys(dim1,nRHS,A,B): SOLVING LINEAR SYSTEM FAILED! INFO = ',IntInfoOpt=INFO) +END IF +END SUBROUTINE SolveLinSys + + END MODULE MOD_Globals diff --git a/src/mesh/mesh.f90 b/src/mesh/mesh.f90 index 6b3672b..bd14f86 100644 --- a/src/mesh/mesh.f90 +++ b/src/mesh/mesh.f90 @@ -247,6 +247,28 @@ SUBROUTINE InitMesh() CALL abort(__STAMP__,& 'Specified curving method does not exist. =1: NormalVectors, =3: SplitElemFile, =4: SpecElemFile') END SELECT + + ! Volume curving by radial basis functions + useRBF = GETLOGICAL('useRBF','.FALSE.') + IF (useRBF) THEN + nRBFBoxes = CNTSTR('RBFType','0') + + ALLOCATE(SupportRadius(nRBFBoxes)) + ALLOCATE(RBFType( nRBFBoxes)) + ALLOCATE(xlim( 2,nRBFBoxes)) + ALLOCATE(ylim( 2,nRBFBoxes)) + + ! If xlim or ylim not given, apply RBF curving to whole mesh + WRITE(DefStr,'(E21.11,A1,E21.11)')-HUGE(1.),',',HUGE(1.) + + DO i=1,nRBFBoxes + SupportRadius(i) = GETREAL('SupportRadius') + RBFType(i) = GETINT('RBFType') + xlim(:, i) = GETREALARRAY('xlim',2,TRIM(DefStr)) + ylim(:, i) = GETREALARRAY('ylim',2,TRIM(DefStr)) + END DO + END IF + END IF doExactSurfProjection=GETLOGICAL('doExactSurfProjection','.FALSE.') IF(doExactSurfProjection)THEN @@ -448,6 +470,7 @@ SUBROUTINE fillMesh() USE MOD_Mesh_PostDeform, ONLY: PostDeform USE MOD_Output_HDF5, ONLY: WriteMeshToHDF5 USE MOD_Mesh_Jacobians, ONLY: CheckJacobians +USE MOD_RBF, ONLY: RBFVolumeCurving USE MOD_Readin_ANSA USE MOD_Readin_CGNS USE MOD_Readin_Gambit @@ -470,7 +493,7 @@ SUBROUTINE fillMesh() TYPE(tElem),POINTER :: Elem ! ? TYPE(tSide),POINTER :: Side ! ? LOGICAL :: curvedFound ! ? -INTEGER :: i,iElem ! ? +INTEGER :: i,iElem,iRBFBox ! ? !=================================================================================================================================== CALL Timer(.TRUE.) WRITE(UNIT_stdOut,'(132("="))') @@ -668,7 +691,22 @@ SUBROUTINE fillMesh() ! get element types CALL FindElemTypes() ! correct displacement in z (e.g. for periodic/2.5D) -IF(doZcorrection) CALL zCorrection() +IF(doZcorrection) CALL zCorrection(InitZOrient_In=.TRUE.) + +! Call RBF curving after GlobalUniqueNodes, since no double entries in the RBF nodes are allowed +IF (useCurveds.AND.useRBF) THEN + DO iRBFBox=1,nRBFBoxes + CALL RBFVolumeCurving(iRBFBox) + END DO + ! Deallocate all RBF quantities + DEALLOCATE(RBFType) + DEALLOCATE(SupportRadius) + DEALLOCATE(xlim) + DEALLOCATE(ylim) + ! Call z-Correction again to remove 3D effects of interpolation, zPeriodic is already done + zPeriodic = .FALSE. + IF(doZcorrection) CALL zCorrection(InitZOrient_In=.FALSE.) +END IF CALL CheckNodeConnectivity() diff --git a/src/mesh/mesh_vars.f90 b/src/mesh/mesh_vars.f90 index 04fed11..0500e93 100644 --- a/src/mesh/mesh_vars.f90 +++ b/src/mesh/mesh_vars.f90 @@ -255,6 +255,12 @@ MODULE MOD_Mesh_Vars LOGICAL :: rebuildCurveds ! switch .TRUE.= if curveds are already present in the mesh, delete them ! and rebuild them using our methods LOGICAL :: meshIsAlreadyCurved ! flag: mesh is already curved (GMSH, HDF5, block CGNS) +LOGICAL :: useRBF ! Volume curving using interpolation of surface curving by + ! radial basis functions +INTEGER :: nRBFBoxes ! Number of RBF Bounding Boxes +INTEGER,ALLOCATABLE :: RBFType(:) ! Type of radial basis function of each RBFBoundingBox +REAL,ALLOCATABLE :: SupportRadius(:) ! Support radius of radial basis functions of each RBFBoundingBox +REAL,ALLOCATABLE :: xlim(:,:),ylim(:,:) ! Only inside this box the RBF curving is used (2,nRBFBoxes) LOGICAL :: InnerElemStretch ! for cartmeshes, apply stretching also to inner element nodes !----------------------------------------------------------------------------------------------------------------------------------- ! CURVE GRID GENERATOR @@ -297,6 +303,7 @@ MODULE MOD_Mesh_Vars LOGICAL :: doZcorrection REAL :: zstart LOGICAL :: zPeriodic +INTEGER,ALLOCATABLE :: whichdirArr(:),orientArr(:) !----------------------------------------------------------------------------------------------------------------------------------- ! Splitting of Elements !----------------------------------------------------------------------------------------------------------------------------------- diff --git a/src/mesh/rbf.f90 b/src/mesh/rbf.f90 new file mode 100644 index 0000000..fb4681d --- /dev/null +++ b/src/mesh/rbf.f90 @@ -0,0 +1,580 @@ +#include "hopr.h" + +MODULE MOD_RBF +!=================================================================================================================================== +! Contains subroutine to build and evaluate a RBF interpolation. We use this to interpolate the surface curving to the volume. +!=================================================================================================================================== +! MODULES +! IMPLICIT VARIABLE HANDLING +IMPLICIT NONE +PRIVATE +!----------------------------------------------------------------------------------------------------------------------------------- +! GLOBAL VARIABLES (PUBLIC) +!----------------------------------------------------------------------------------------------------------------------------------- +! Public Part ---------------------------------------------------------------------------------------------------------------------- + +INTERFACE RBFVolumeCurving + MODULE PROCEDURE RBFVolumeCurving +END INTERFACE + +PUBLIC::RBFVolumeCurving +!=================================================================================================================================== + +CONTAINS + +SUBROUTINE RBFVolumeCurving(iRBFBox) +!----------------------------------------------------------------------------------------------------------------------------------! +! Volume curving based on an radial basis function interpolation of the curved boundary surfaces. +! General structure: +! * Build RBF basis. We need to build a list of all control points (unique!), and save the uncurved coordinates. +! We take all boundary points as control points as well as the corner nodes of the inner cells. +! To build the list we loop over all sides, which means we visit each boundary point multiple times. +! To keep the list unique we use a temporary marker to mark all already visited points. +! Then the RBF equation system can be built: The matrix is built by evaluating each radial basis function at +! each control point . The right hand side is built by taking the difference between the linear +! and the curved coordinates of the control points - we interpolate the displacement. Non-curved boundary points +! and corner nodes of inner cells are included in the RBF system by setting the R.H.S. to zero. +! To get the coordinates of the uncurved high-order mesh points we perform a "manual" change basis (e.g. MATMUL with Vandermonde +! matrix) from the corner points of the curved element (which are of course equal to the uncurved points) to the boundary order. +! We then invert the matrix to solve the system directly. +! * In another loop over all elements we evaluate the interpolation of the displacement for each volume point of the mesh. +! We add the interpolation to the uncurved mesh point coordinates to get the curved volume position. On the boundary points +! this will recover the curved coordinates which served as our input. +! +! The user can define a box which restricts the curving to reduce compuational effort and memory usage. +!----------------------------------------------------------------------------------------------------------------------------------! +! MODULES ! +USE MOD_Globals +USE MOD_HexaBasis, ONLY: getHexaBasis,getBasisMappingHexa +USE MOD_QuadBasis, ONLY: getQuadBasis,getBasisMappingQuad +USE MOD_Basis_Vars, ONLY: QuadMapInv,HexaMapInv +USE MOD_Mesh_Vars +!----------------------------------------------------------------------------------------------------------------------------------! +IMPLICIT NONE +! INPUT / OUTPUT VARIABLES +INTEGER,INTENT(IN) :: iRBFBox ! Index of current RBF Bounding Box +!----------------------------------------------------------------------------------------------------------------------------------- +! LOCAL VARIABLES +TYPE(tElem),POINTER :: Elem +TYPE(tSide),POINTER :: Side +INTEGER :: i,j,nAns +REAL,ALLOCATABLE :: RefCoordinates(:,:) ! Coordinates of boundary points +REAL,ALLOCATABLE :: RBFMatrix(:,:) ! Matrix of the linear system +REAL,ALLOCATABLE :: RBFRHS(:,:) +INTEGER :: nBP ! Number of boundary points considered +REAL,ALLOCATABLE :: Vdm_SurfBiLinear(:,:),Vdm_VolTriLinear(:,:) +REAL,ALLOCATABLE :: D_tmp(:,:,:) +INTEGER,ALLOCATABLE :: QuadMapInvLinear(:,:) +INTEGER,ALLOCATABLE :: HexaMapInvLinear(:,:,:) +INTEGER,ALLOCATABLE :: QuadMapLinear(:,:) +INTEGER,ALLOCATABLE :: HexaMapLinear(:,:) +REAL :: xTriLinear(3,BoundaryOrder**3),xBiLinear(3,BoundaryOrder**2) +REAL :: xCornerVol(1:3,8),xCornerSurf(1:3,4) +REAL :: dist,x(3),xTmp(3),rbfvalue +INTEGER :: iBP +REAL :: xMin,xMax,yMin,yMax,xBary(3) +!=================================================================================================================================== + +WRITE(UNIT_StdOut,'(132("-"))') +WRITE(UNIT_stdOut,'(A)') ' RBF VOLUME CURVING' + +! Box where curving should be done +xMin = xlim(1,iRBFBox) +xMax = xlim(2,iRBFBox) +yMin = ylim(1,iRBFBox) +yMax = ylim(2,iRBFBox) + +! Build 2D Vandermonde from corner nodes to bi-linear side nodes +CALL getQuadBasis(1,BoundaryOrder,Vdm_SurfBiLinear,D_tmp) +DEALLOCATE(D_tmp) + +! Build 3D Vandermonde from corner nodes to tri-linear side nodes +CALL getHexaBasis(1,BoundaryOrder,Vdm_VolTriLinear,D_tmp) +DEALLOCATE(D_tmp) + +! Build mapping between 1D and tensor product ordering for a bi-linear surface +CALL getBasisMappingQuad(1,nAns,QuadMapLinear,QuadMapInvLinear) +DEALLOCATE(QuadMapLinear) + +! Build mapping between 1D and tensor product ordering for a bi-linear surface +CALL getBasisMappingHexa(1,nAns,HexaMapLinear,HexaMapInvLinear) +DEALLOCATE(HexaMapLinear) + + +!--------------------------------------------------------------------------------------------------------! +! Count number of control points, needed to allocate space etc. +!--------------------------------------------------------------------------------------------------------! + +! Reset the tmp variable later used to mark already visited control points +Elem=>FirstElem +DO WHILE(ASSOCIATED(Elem)) + Side=>Elem%firstSide + DO WHILE(ASSOCIATED(Side)) + IF(.NOT.ASSOCIATED(Side%BC)) THEN + ! Go through all 4 corner nodes + Side%CurvedNode(QuadMapInv(0,0))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(0,N))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(N,0))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(N,N))%np%tmp = 0 + ELSE IF(Side%BC%BCType.EQ.1) THEN + ! Go through all 4 corner nodes + Side%CurvedNode(QuadMapInv(0,0))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(0,N))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(N,0))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(N,N))%np%tmp = 0 + ELSE + DO i=1,Side%nCurvedNodes + Side%CurvedNode(i)%np%tmp = 0 + END DO + END IF + Side=>Side%nextElemSide + END DO + Elem=>Elem%nextElem +END DO + +nBP = 0 +Elem=>FirstElem +DO WHILE(ASSOCIATED(Elem)) + Side=>Elem%firstSide + DO WHILE(ASSOCIATED(Side)) + IF(.NOT.ASSOCIATED(Side%BC)) THEN + ! Not a BC, include the corner nodes + IF (.NOT.(Side%CurvedNode(QuadMapInv(0,0))%np%tmp.EQ.1)) THEN + ! Check if node is inside the box + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + ! Increase count of boundary points if inside the box + nBP = nBP + 1 + ! Mark this side node as done + Side%CurvedNode(QuadMapInv(0,0))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(0,N))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + nBP = nBP + 1 + Side%CurvedNode(QuadMapInv(0,N))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(N,0))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + nBP = nBP + 1 + Side%CurvedNode(QuadMapInv(N,0))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(N,N))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + nBP = nBP + 1 + Side%CurvedNode(QuadMapInv(N,N))%np%tmp = 1 + END IF + ELSE IF(Side%BC%BCType.EQ.1) THEN + ! Periodic BC, threat like a normal (non-BC) side + IF (.NOT.(Side%CurvedNode(QuadMapInv(0,0))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + nBP = nBP + 1 + Side%CurvedNode(QuadMapInv(0,0))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(0,N))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + nBP = nBP + 1 + Side%CurvedNode(QuadMapInv(0,N))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(N,0))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + nBP = nBP + 1 + Side%CurvedNode(QuadMapInv(N,0))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(N,N))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + nBP = nBP + 1 + Side%CurvedNode(QuadMapInv(N,N))%np%tmp = 1 + END IF + ELSE IF (Side%CurveIndex.LE.0) THEN + ! Boundaries, but uncurved - all nodes are fixed + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + DO i=1,Side%nCurvedNodes + IF (Side%CurvedNode(i)%np%tmp.EQ.1) CYCLE + nBP = nBP + 1 + Side%CurvedNode(i)%np%tmp = 1 + END DO + ELSE + ! BC side, include all nodes as control points + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + DO i=1,Side%nCurvedNodes + IF (Side%CurvedNode(i)%np%tmp.EQ.1) CYCLE + nBP = nBP + 1 + Side%CurvedNode(i)%np%tmp = 1 + END DO + END IF + Side=>Side%nextElemSide + END DO + Elem=>Elem%nextElem +END DO + +! Output of number of RBF control points +WRITE(*,*) 'Number of RBF control points: ',nBP + +! Allocate arrays used to store RBF data +ALLOCATE(RefCoordinates(1:3,1:nBP)) ! Coordinates of UNCURVED boundary points +ALLOCATE(RBFMatrix(1:nBP+4,1:nBP+4)) ! Matrix of RBF system +ALLOCATE(RBFRHS(1:nBP+4,1:3)) ! Right hand side of RBF system, last index = component of coordinates + + +WRITE(*,*) 'Building RBF matrix entries... ' +!--------------------------------------------------------------------------------------------------------! +! With memory allocated, store the uncurved coordinates of the control points +! and calculate the displacement +!--------------------------------------------------------------------------------------------------------! + +! Reset the tmp variable later used to mark the boundary point +Elem=>FirstElem +DO WHILE(ASSOCIATED(Elem)) + Side=>Elem%firstSide + DO WHILE(ASSOCIATED(Side)) + IF(.NOT.ASSOCIATED(Side%BC)) THEN + ! Go through all 4 corner nodes + Side%CurvedNode(QuadMapInv(0,0))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(0,N))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(N,0))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(N,N))%np%tmp = 0 + ELSE IF(Side%BC%BCType.EQ.1) THEN + ! Go through all 4 corner nodes + Side%CurvedNode(QuadMapInv(0,0))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(0,N))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(N,0))%np%tmp = 0 + Side%CurvedNode(QuadMapInv(N,N))%np%tmp = 0 + ELSE + DO i=1,Side%nCurvedNodes + Side%CurvedNode(i)%np%tmp = 0 + END DO + END IF + Side=>Side%nextElemSide + END DO + Elem=>Elem%nextElem +END DO + +iBP = 0 +Elem=>FirstElem +DO WHILE(ASSOCIATED(Elem)) + Side=>Elem%firstSide + DO WHILE(ASSOCIATED(Side)) + IF(.NOT.ASSOCIATED(Side%BC)) THEN + ! Inner side, the corner nodes are included with zero displacement + IF (.NOT.(Side%CurvedNode(QuadMapInv(0,0))%np%tmp.EQ.1)) THEN + ! Check if inside of box + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + ! Increase index of boundary points + iBP = iBP + 1 + ! Store reference coordinates, which are the uncurved node coordinates + ! (= curved for linear surfaces) + RefCoordinates(1:3,iBP) = Side%CurvedNode(QuadMapInv(0,0))%np%x + ! Set displacement + RBFRHS(iBP,1:3) = 0. + ! Mark this side node as done + Side%CurvedNode(QuadMapInv(0,0))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(0,N))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + iBP = iBP + 1 + RefCoordinates(1:3,iBP) = Side%CurvedNode(QuadMapInv(0,N))%np%x + RBFRHS(iBP,1:3) = 0. + Side%CurvedNode(QuadMapInv(0,N))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(N,0))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + iBP = iBP + 1 + RefCoordinates(1:3,iBP) = Side%CurvedNode(QuadMapInv(N,0))%np%x + RBFRHS(iBP,1:3) = 0. + Side%CurvedNode(QuadMapInv(N,0))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(N,N))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + iBP = iBP + 1 + RefCoordinates(1:3,iBP) = Side%CurvedNode(QuadMapInv(N,N))%np%x + RBFRHS(iBP,1:3) = 0. + Side%CurvedNode(QuadMapInv(N,N))%np%tmp = 1 + END IF + ELSE IF(Side%BC%BCType.EQ.1) THEN + ! Periodic side, also fix the corner nodes + IF (.NOT.(Side%CurvedNode(QuadMapInv(0,0))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + iBP = iBP + 1 + RefCoordinates(1:3,iBP) = Side%CurvedNode(QuadMapInv(0,0))%np%x + RBFRHS(iBP,1:3) = 0. + Side%CurvedNode(QuadMapInv(0,0))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(0,N))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + iBP = iBP + 1 + RefCoordinates(1:3,iBP) = Side%CurvedNode(QuadMapInv(0,N))%np%x + RBFRHS(iBP,1:3) = 0. + Side%CurvedNode(QuadMapInv(0,N))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(N,0))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + iBP = iBP + 1 + RefCoordinates(1:3,iBP) = Side%CurvedNode(QuadMapInv(N,0))%np%x + RBFRHS(iBP,1:3) = 0. + Side%CurvedNode(QuadMapInv(N,0))%np%tmp = 1 + END IF + IF (.NOT.(Side%CurvedNode(QuadMapInv(N,N))%np%tmp.EQ.1)) THEN + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + iBP = iBP + 1 + RefCoordinates(1:3,iBP) = Side%CurvedNode(QuadMapInv(N,N))%np%x + RBFRHS(iBP,1:3) = 0. + Side%CurvedNode(QuadMapInv(N,N))%np%tmp = 1 + END IF + ELSE IF (Side%CurveIndex.LE.0) THEN + ! Boundaries, but uncurved - all nodes are fixed + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + DO i=1,Side%nCurvedNodes + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) CYCLE + IF (Side%CurvedNode(i)%np%tmp.EQ.1) CYCLE + iBP = iBP + 1 + RefCoordinates(1:3,iBP) = Side%CurvedNode(i)%np%x + RBFRHS(iBP,1:3) = 0. + Side%CurvedNode(i)%np%tmp = 1 + END DO + ELSE + ! Curved surfaces + x = Side%CurvedNode(QuadMapInv(0,0))%np%x + IF ((x(1).LT.xMin).OR.(x(1).GT.xMax).OR.(x(2).LT.yMin).OR.(x(2).GT.yMax)) EXIT + ! Build coordinates of linear side. First, fill an temp array with the corner nodes + xCornerSurf(:,QuadMapInvLinear(0,0)) = Side%CurvedNode(QuadMapInv(0,0))%np%x + xCornerSurf(:,QuadMapInvLinear(0,1)) = Side%CurvedNode(QuadMapInv(0,N))%np%x + xCornerSurf(:,QuadMapInvLinear(1,0)) = Side%CurvedNode(QuadMapInv(N,0))%np%x + xCornerSurf(:,QuadMapInvLinear(1,1)) = Side%CurvedNode(QuadMapInv(N,N))%np%x + ! Then, apply Vandermonde matrix, e.g. evaluate bi-linear mapping on all curved side nodes + xBiLinear(1,:) = MATMUL(Vdm_SurfBiLinear,xCornerSurf(1,:)) + xBiLinear(2,:) = MATMUL(Vdm_SurfBiLinear,xCornerSurf(2,:)) + xBiLinear(3,:) = MATMUL(Vdm_SurfBiLinear,xCornerSurf(3,:)) + DO i=1,Side%nCurvedNodes + ! Skip already marked boundary points + IF (Side%CurvedNode(i)%np%tmp.EQ.1) CYCLE + ! Increase index of boundary points + iBP = iBP + 1 + ! Store reference coordinates, e.g. the bi-linear nodes + RefCoordinates(1:3,iBP) = xBiLinear(:,i) + ! Calculate displacement, e.g. difference between bi-linear and curved nodes + RBFRHS(iBP,1:3) = Side%CurvedNode(i)%np%x - xBiLinear(:,i) + ! Mark this side node as done + Side%CurvedNode(i)%np%tmp = 1 + END DO + END IF + Side=>Side%nextElemSide + END DO + Elem=>Elem%nextElem +END DO + +! Set the rows of the R.H.S. associated with the linear polynomial to zero +RBFRHS(nBP+1:nBP+4,:) = 0. + +!--------------------------------------------------------------------------------------------------------! +! Solve the RBF system +!--------------------------------------------------------------------------------------------------------! +WRITE(*,*) 'Solving RBF system... ' +! Build the RBF matrix +! Upper left part: M_i,j = phi(abs(X(i)-X(j))) +DO j=1,nBP; DO i=1,nBP + dist = NORM2(RefCoordinates(:,i)-RefCoordinates(:,j)) + RBFMatrix(i,j) = EvaluateRBF(dist,SupportRadius(iRBFBox),RBFType(iRBFBox)) +END DO; END DO ! j,i=1,nBP +! Upper right part: P_b - row i equal to [1 x_i y_i z_i] +! Lower left part: transpose of P_b +DO i=1,nBP + RBFMatrix(i,nBP+1) = 1. + RBFMatrix(nBP+1,i) = 1. + RBFMatrix(i,nBP+2) = RefCoordinates(1,i) + RBFMatrix(nBP+2,i) = RefCoordinates(1,i) + RBFMatrix(i,nBP+3) = RefCoordinates(2,i) + RBFMatrix(nBP+3,i) = RefCoordinates(2,i) + RBFMatrix(i,nBP+4) = RefCoordinates(3,i) + RBFMatrix(nBP+4,i) = RefCoordinates(3,i) +END DO ! i=1,nBP +! Lower right part: zeros +DO j=nBP+1,nBP+4; DO i=nBP+1,nBP+4 + RBFMatrix(i,j) = 0. +END DO; END DO ! j,i=nBP+1,nBP+4 + +! Solve the system for all RHSs - RBFRHS will then contain the solution to the system! +CALL SolveLinSys(nBP+4,3,RBFMatrix,RBFRHS) +DEALLOCATE(RBFMatrix) + +!--------------------------------------------------------------------------------------------------------! +! Evaluate the interpolation for all nodes in the volume +!--------------------------------------------------------------------------------------------------------! +WRITE(*,*) 'Evaluating RBF interpolation... ' + +Elem=>FirstElem +DO WHILE(ASSOCIATED(Elem)) + ! Calculate the tri-linear coordinates of the curved nodes (those are all control points of the RBF interpolation, so they don't + ! change due to the displacement procedure) + xCornerVol(:,HexaMapInvLinear(0,0,0)) = Elem%CurvedNode(HexaMapInv(0,0,0))%np%x + xCornerVol(:,HexaMapInvLinear(0,1,0)) = Elem%CurvedNode(HexaMapInv(0,N,0))%np%x + xCornerVol(:,HexaMapInvLinear(1,0,0)) = Elem%CurvedNode(HexaMapInv(N,0,0))%np%x + xCornerVol(:,HexaMapInvLinear(1,1,0)) = Elem%CurvedNode(HexaMapInv(N,N,0))%np%x + xCornerVol(:,HexaMapInvLinear(0,0,1)) = Elem%CurvedNode(HexaMapInv(0,0,N))%np%x + xCornerVol(:,HexaMapInvLinear(0,1,1)) = Elem%CurvedNode(HexaMapInv(0,N,N))%np%x + xCornerVol(:,HexaMapInvLinear(1,0,1)) = Elem%CurvedNode(HexaMapInv(N,0,N))%np%x + xCornerVol(:,HexaMapInvLinear(1,1,1)) = Elem%CurvedNode(HexaMapInv(N,N,N))%np%x + + ! Check whether the current Elem could be within RBF domain, where the displacement could be unequal zero. Otherwise cycle! + IF ( (MAXVAL(xCornerVol(1,:)).LT.xMin).OR.(MINVAL(xCornerVol(1,:)).GT.xMax) .AND. & ! Outside RBF zone in x + (MAXVAL(xCornerVol(2,:)).LT.yMin).OR.(MINVAL(xCornerVol(2,:)).GT.yMax) & ! Outside RBF zone in y + ) THEN + Elem=>Elem%nextElem + CYCLE + END IF + + ! Then, apply Vandermonde matrix, e.g. evaluate bi-linear mapping on all curved side nodes + xTriLinear(1,:) = MATMUL(Vdm_VolTriLinear,xCornerVol(1,:)) + xTriLinear(2,:) = MATMUL(Vdm_VolTriLinear,xCornerVol(2,:)) + xTriLinear(3,:) = MATMUL(Vdm_VolTriLinear,xCornerVol(3,:)) + DO i=1,Elem%nCurvedNodes + ! Evaluate the RBF interpolation at each linear volume point + x = xTriLinear(:,i) + xTmp = x + DO iBP=1,nBP + dist = NORM2(x-RefCoordinates(:,iBP)) + RBFValue = EvaluateRBF(dist,supportRadius(iRBFBox),RBFType(iRBFBox)) + xTmp(1) = xTmp(1) + RBFValue*RBFRHS(iBP,1) + xTmp(2) = xTmp(2) + RBFValue*RBFRHS(iBP,2) + xTmp(3) = xTmp(3) + RBFValue*RBFRHS(iBP,3) + END DO + ! Take linear polynomial into account + xTmp = xTmp + RBFRHS(nBP+1,:) ! constant part + xTmp(1) = xTmp(1) + DOT_PRODUCT(RBFRHS(nBP+2:nBP+4,1),x(:)) ! Linear part + xTmp(2) = xTmp(2) + DOT_PRODUCT(RBFRHS(nBP+2:nBP+4,2),x(:)) ! Linear part + xTmp(3) = xTmp(3) + DOT_PRODUCT(RBFRHS(nBP+2:nBP+4,3),x(:)) ! Linear part + ! Overwrite curved node position by interpolation + Elem%CurvedNode(i)%np%x = xTmp + END DO + Elem=>Elem%nextElem +END DO + +DEALLOCATE(RBFRHS) +WRITE(UNIT_stdOut,'(A)')' VOLUME CURVING DONE!' + +END SUBROUTINE RBFVolumeCurving + + + +FUNCTION EvaluateRBF(dist,supportRadius,RBFType) +!=================================================================================================================================== +! Evaluates the choosen RBF at distance dist with support radius supportRadius +! Numbering and choice of RBFs is taken from: A. de Boer et al. / Computers and Structures 85 (2007) 784–795 +! The multiquadratic biharmonic RBFs (type 10 and 11) take an additional parameter (a) which controls the shape of the function. +! Typical values for this parameter are in the range 10E-5 - 10E-3. +!=================================================================================================================================== +USE MOD_Globals +! INPUT VARIABLES +REAL,INTENT(IN) :: dist ! Euclidean distance used in RBF evaluation +REAL,INTENT(IN) :: supportRadius ! Normalizing constant for RBF evaluation +INTEGER,INTENT(IN) :: RBFType ! Type of RBF to evaluate +!----------------------------------------------------------------------------------------------------------------------------------- +! OUTPUT VARIABLES +REAL :: EvaluateRBF +!----------------------------------------------------------------------------------------------------------------------------------- +! LOCAL VARIABLES +REAL :: xi +REAL,PARAMETER :: a =1.E-4 ! shape parameter for type 10 and 11 (see function description above) +REAL,PARAMETER :: eps=1.E-12 +!=================================================================================================================================== +! normalized distance +xi = dist/supportRadius + +SELECT CASE(RBFType) +! Local support RBFs +CASE(1) + IF (xi.GT.1.) THEN + EvaluateRBF = 0. + ELSE + EvaluateRBF = (1.-xi)**2. + END IF +CASE(2) + IF (xi.GT.1.) THEN + EvaluateRBF = 0. + ELSE + EvaluateRBF=(1.-xi)**4.*(4.*xi+1.) + END IF +CASE(3) + IF (xi.GT.1.) THEN + EvaluateRBF = 0. + ELSE + EvaluateRBF = (1.-xi)**6.*((35./3.)*(xi**2.)+6.*xi+1.) + END IF +CASE(4) + IF (xi.GT.1.) THEN + EvaluateRBF = 0. + ELSE + EvaluateRBF = (1.-xi)**8.*(32.*(xi**3.)+25.*(xi**2.)+8.*xi+1.) + END IF +CASE(5) + IF (xi.GT.1.) THEN + EvaluateRBF = 0. + ELSE + EvaluateRBF = (1.-xi)**5. + END IF +CASE(6) + IF (xi.GT.1.) THEN + EvaluateRBF = 0. + ELSE IF (xi.LT.eps) THEN + EvaluateRBF = 1. + ELSE + EvaluateRBF = 1.+(80./3.)*(xi**2.)-40.*(xi**3.)+15.*(xi**4.)-(8./3.)*(xi**5.)+20.*(xi**2.)*LOG(xi) + END IF +CASE(7) + IF (xi.GT.1.) THEN + EvaluateRBF = 0. + ELSE IF (xi.LT.eps) THEN + EvaluateRBF = 1. + ELSE + EvaluateRBF = 1.-30.*(xi**2.)-10.*(xi**3.)+45.*(xi**4.)-6.*(xi**5.)-60.*(xi**3.)*LOG(xi) + END IF +CASE(8) + IF (xi.GT.1.) THEN + EvaluateRBF = 0. + ELSE IF (xi.LT.eps) THEN + EvaluateRBF = 1. + ELSE + EvaluateRBF = 1.-20.*(xi**2.)+80.*(xi**3.)-45.*(xi**4.)-16.*(xi**5.)+60.*(xi**4.)*LOG(xi) + END IF +! Global support RBFs +CASE(9) + IF (xi.LT.eps) THEN + EvaluateRBF = 0. + ELSE + EvaluateRBF = (xi**2.)*LOG(xi) + END IF +CASE(10) + EvaluateRBF = SQRT((a**2.)+(xi**2.)) +CASE(11) + EvaluateRBF = SQRT(1./((a**2.)+(xi**2.))) +CASE(12) + EvaluateRBF = 1.+(xi**2.) +CASE(13) + EvaluateRBF = 1./(1.+(xi**2.)) +CASE(14) + EvaluateRBF = EXP(-(xi**2.)) +CASE DEFAULT + CALL Abort(__STAMP__,'RBF Type is unknown') +END SELECT + +END FUNCTION EvaluateRBF + + +END MODULE MOD_RBF diff --git a/src/mesh/zcorrection.f90 b/src/mesh/zcorrection.f90 index debc3d0..62d0d95 100644 --- a/src/mesh/zcorrection.f90 +++ b/src/mesh/zcorrection.f90 @@ -240,7 +240,7 @@ SUBROUTINE OrientElemsToZ() END SUBROUTINE OrientElemsToZ -SUBROUTINE zcorrection() +SUBROUTINE zcorrection(InitZOrient_In) !=================================================================================================================================== ! ? !=================================================================================================================================== @@ -250,19 +250,20 @@ SUBROUTINE zcorrection() USE MOD_Mesh_Vars,ONLY:BoundaryType USE MOD_Mesh_Tolerances,ONLY:SAMEPOINT USE MOD_Mesh_Vars,ONLY:N,nMeshElems,nVV,VV +USE MOD_Mesh_Vars,ONLY:whichdirArr,orientArr USE MOD_Basis_Vars,ONLY:HexaMapInv USE MOD_ReadInTools ! IMPLICIT VARIABLE HANDLING IMPLICIT NONE !----------------------------------------------------------------------------------------------------------------------------------- ! INPUT VARIABLES +LOGICAL,INTENT(IN),OPTIONAL :: InitZOrient_In ! Determines whether the quantities related to the ZOrient should be allocated !----------------------------------------------------------------------------------------------------------------------------------- ! OUTPUT VARIABLES !----------------------------------------------------------------------------------------------------------------------------------- ! LOCAL VARIABLES TYPE(tElem),POINTER :: Elem,lastElem ! ? TYPE(tSide),POINTER :: Side,zminusSide,zplusSide ! ? -INTEGER :: whichdirArr(nMeshElems),orientArr(nMeshElems) ! ? INTEGER :: Map(4,2),SideMap(2) ! ? INTEGER :: p,q,l,l1,l2,iSide ! ? INTEGER :: switch, switch2, zcounter, whichdir ! ? @@ -270,11 +271,16 @@ SUBROUTINE zcorrection() LOGICAL :: firstLayer ! ? LOGICAL :: dominant ! ? LOGICAL :: found ! ? +LOGICAL :: InitZOrient ! ? INTEGER :: iNode,fNode,nPeriodicSides ! ? INTEGER :: zAlpha,i !=================================================================================================================================== WRITE(UNIT_stdOut,'(A)') ' PERFORMING Z CORRECTION...' CALL Timer(.TRUE.) + +InitZOrient = .TRUE. ! Standard value +IF (PRESENT(InitZOrient_In)) InitZOrient = InitZOrient_In + dz=zLength/REAL(nElemsZ) DO l=0,N displ1(:,l) = REAL(l) /REAL(N) * (/0.,0.,dz/) @@ -318,28 +324,33 @@ SUBROUTINE zcorrection() ! no periodic vector previously aligned with z IF (zAlpha .EQ. 0) zAlpha = nVV + 1 -whichdirArr=0 -orientArr =2 -Elem=>firstElem -DO WHILE(ASSOCIATED(Elem)) - dir(1,:)=NORMALIZE(Elem%node(2)%np%x-Elem%node(1)%np%x,3) - dir(2,:)=NORMALIZE(Elem%node(4)%np%x-Elem%node(1)%np%x,3) - dir(3,:)=NORMALIZE(Elem%node(5)%np%x-Elem%node(1)%np%x,3) - found=.FALSE. - DO whichdir=1,3 - scalprod=SUM(dir(whichdir,:)*(/0.,0.,1./)) - IF(ABS(scalprod).GT.0.5) THEN - found=.TRUE. - EXIT + +IF (InitZOrient) THEN + ALLOCATE(whichdirArr(nMeshElems)) + ALLOCATE(orientArr(nMeshElems)) + whichdirArr=0 + orientArr =2 + Elem=>firstElem + DO WHILE(ASSOCIATED(Elem)) + dir(1,:)=NORMALIZE(Elem%node(2)%np%x-Elem%node(1)%np%x,3) + dir(2,:)=NORMALIZE(Elem%node(4)%np%x-Elem%node(1)%np%x,3) + dir(3,:)=NORMALIZE(Elem%node(5)%np%x-Elem%node(1)%np%x,3) + found=.FALSE. + DO whichdir=1,3 + scalprod=SUM(dir(whichdir,:)*(/0.,0.,1./)) + IF(ABS(scalprod).GT.0.5) THEN + found=.TRUE. + EXIT + END IF + END DO + IF(.NOT.found) THEN + STOP "Element with no axis aligned with z direction found, cannot perform z correction!" 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OUTPUT +!=============================================================================== ! +projectname = NACA0012_RBFCurv ! name of the project (used for filenames) +Debugvisu = T ! Write debug mesh to tecplot file +outputFormat = 1 +DebugvisuLevel = 2 ! Level 0: visualization of linear mesh and BC (default), + ! Level 1: + curved surface visualization (_SplineSurf.*), if useCurveds + ! Level 2: + curved volume visualization (_SplineVol.*), if useCurveds + +!=============================================================================== ! +! MESH +!=============================================================================== ! +Mode = 3 ! 1 Cartesian 3 CGNS 4 STAR-CD V3 +bugfix_ANSA_CGNS = T +nZones = 2 ! number of zones +filename = naca0012_omg.cgns ! name of mesh file + +meshscale = 0.001 ! scales all input meshes by a factor +spacequandt = 1000. ! tolerance for mesh connectivity (multiplicates with real tolerance) + +!=============================================================================== ! +! CURVED +!=============================================================================== ! +useCurveds = T ! T to generate curved boundaries +curvingMethod = 3 +SplitElemFile = naca0012_omg_split.cgns +dosortijk = T +BoundaryOrder = 5 +checkElemJacobians = T ! checks the Jacobian and scaled Jacobian for each element + +useRBF = T ! T to activte RBF curving +SupportRadius = 0.01 ! Choose in the same ballpark as the length of the elements +RBFType = 4 +xlim = (/-0.25,0.1 /) +ylim = (/-0.25,0.25/) + +!=============================================================================== ! +! BOUNDARY CONDITIONS +!=============================================================================== ! +BoundaryName=BC_airfoil ! the BC_Name must be defined in mesh file +BoundaryType=(/3,1,0,0/) +BoundaryName=BC_mantle ! the BC_Name must be defined in mesh file +BoundaryType=(/2,0,0,0/) +BoundaryName=BC_zMinus ! the BC_Name must be defined in mesh file +BoundaryType=(/2,0,0,0/) +BoundaryName=BC_zPlus ! the BC_Name must be defined in mesh file +BoundaryType=(/2,0,0,0/) +vv=(/0.,0.,1./) + +!=============================================================================== ! +! EXTRUDED 2D MESH OPTIONS +!=============================================================================== ! +OrientZ = T +dozcorrection = T +zPeriodic = T +zLength = .1 +zstart = 0. +nElemsZ = 1

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