From c1d22b08537405bc8065ad42db96a54df44ecfbf Mon Sep 17 00:00:00 2001 From: dhyan1272 Date: Thu, 9 Jan 2025 10:08:16 -0800 Subject: [PATCH 1/5] New Regualization method with dual cell triangle involved --- src/pmpo_MPMesh_assembly.hpp | 29 ++++++++++++++++++++++++++--- src/pmpo_c.cpp | 36 ++++++++++++++++++++++++++++++++++++ src/pmpo_c.h | 5 +++++ src/pmpo_fortran.f90 | 28 ++++++++++++++++++++++++++++ src/pmpo_mesh.cpp | 4 ++++ src/pmpo_mesh.hpp | 7 +++++++ src/pmpo_utils.hpp | 12 ++++++++++++ 7 files changed, 118 insertions(+), 3 deletions(-) diff --git a/src/pmpo_MPMesh_assembly.hpp b/src/pmpo_MPMesh_assembly.hpp index e5dedb5..c577506 100644 --- a/src/pmpo_MPMesh_assembly.hpp +++ b/src/pmpo_MPMesh_assembly.hpp @@ -111,6 +111,9 @@ void MPMesh::assemblyVtx1() { p_mesh->fillMeshField(numVtx, numEntries, 0.0); auto meshField = p_mesh->getMeshField(); + //Dual Element Area for Regularization + auto dual_triangle_area=p_mesh->getMeshField(); + //Material Points auto mpData = p_MPs->getData(); auto weight = p_MPs->getData(); @@ -146,6 +149,7 @@ void MPMesh::assemblyVtx1() { }; p_MPs->parallel_for(assemble, "assembly"); + bool regularize=true; //Solve Ax=b for each vertex Kokkos::View VtxCoeffs("VtxCoeffs", p_mesh->getNumVertices()); Kokkos::parallel_for("solving Ax=b", numVtx, KOKKOS_LAMBDA(const int vtx){ @@ -154,13 +158,32 @@ void MPMesh::assemblyVtx1() { Vec4d v2 = {VtxMatrices(vtx,2,0), VtxMatrices(vtx,2,1), VtxMatrices(vtx,2,2), VtxMatrices(vtx,2,3)}; Vec4d v3 = {VtxMatrices(vtx,3,0), VtxMatrices(vtx,3,1), VtxMatrices(vtx,3,2), VtxMatrices(vtx,3,3)}; - Matrix4d A = {v0,v1,v2,v3}; - double A_trace = A.trace(); + Matrix4d A = {v0,v1,v2,v3}; Matrix4d A_regularized = {v0, v1, v2, v3}; + + //Method 1 of rgularization + //Need some kind of option to choose regularization method + /* + double A_trace = A.trace(); A_regularized.addToDiag(A_trace*1e-8); - + */ + + //Method 2 of regularization + double mScale=1.0; + if(regularize){ + mScale=sqrt(dual_triangle_area(vtx,0)); + A_regularized.scaleFirstRowAndColumn(mScale); + double regParam=0.0*EPSILON*VtxMatrices(vtx,0,0) + VtxMatrices(vtx,1,1) + VtxMatrices(vtx,2,2) + VtxMatrices(vtx,3,3); + A_regularized.addToDiag(regParam); + } double coeff[vec4d_nEntries]={0.0, 0.0, 0.0, 0.0}; CholeskySolve4d_UnitRHS(A_regularized, coeff); + + // Undo scaling + coeff[0]=coeff[0]*mScale*mScale; + coeff[1]=coeff[1]*mScale; + coeff[2]=coeff[2]*mScale; + coeff[3]=coeff[3]*mScale; for (int i=0; ip_mesh; + + //check the size + PMT_ALWAYS_ASSERT(p_mesh->getNumVertices()==nVertices); + + //copy the host array to the device + auto dualArea = p_mesh->getMeshField(); + auto h_dualArea = Kokkos::create_mirror_view(dualArea); + for(int i=0; ip_mesh; + + //check the size + PMT_ALWAYS_ASSERT(p_mesh->getNumVertices()==nVertices); + + //copy the device to host + auto dualArea = p_mesh->getMeshField(); + auto h_dualArea = Kokkos::create_mirror_view_and_copy(Kokkos::HostSpace(), dualArea); + for(int i=0; i @brief set the polympo dual mesh triangle area + !> @param mpmesh(in/out) MPMesh object + !> @param nVertices(in) length of array in, use for assertion + !> @param Array(in) 1D array of area of dual triangle elements + !--------------------------------------------------------------------------- + subroutine polympo_setMeshDualTriangleArea(mpMesh, nVertices, areaTriangle) & + bind(C, NAME='polympo_setMeshDualTriangleArea_f') + use :: iso_c_binding + type(c_ptr), value :: mpMesh + integer(c_int), value :: nVertices + type(c_ptr), intent(in), value :: areaTriangle + end subroutine + !--------------------------------------------------------------------------- + !> @brief get the polympo mesh dual mesh triangle area + !> @param mpmesh(in/out) MPMesh object + !> @param nVetices(in) length of array in, use for assertion + !> @param Array(in/out) 1D array of area of dual triangle elements + !--------------------------------------------------------------------------- + subroutine polympo_getMeshDualTriangleArea(mpMesh, nVertices, areaTriangle) & + bind(C, NAME='polympo_getMeshDualTriangleArea_f') + use :: iso_c_binding + type(c_ptr), value :: mpMesh + integer(c_int), value :: nVertices + type(c_ptr), value :: areaTriangle + end subroutine + !--------------------------------------------------------------------------- !> @brief set the vertices velocity from a host array !> @param mpmesh(in/out) MPMesh object diff --git a/src/pmpo_mesh.cpp b/src/pmpo_mesh.cpp index cdf9b28..9232ad1 100644 --- a/src/pmpo_mesh.cpp +++ b/src/pmpo_mesh.cpp @@ -41,6 +41,10 @@ namespace polyMPO{ auto vtxRotLatLonIncrMapEntry = meshFields2TypeAndString.at(MeshF_RotLatLonIncr); PMT_ALWAYS_ASSERT(vtxRotLatLonIncrMapEntry.first == MeshFType_VtxBased); vtxRotLatLonIncr_ = MeshFView(vtxRotLatLonIncrMapEntry.second,numVtxs_); + + auto dualTriangleAreaEntry = meshFields2TypeAndString.at(MeshF_DualTriangleArea); + PMT_ALWAYS_ASSERT(dualTriangleAreaEntry.first == MeshFType_VtxBased); + dualTriangleArea_ = MeshFView(dualTriangleAreaEntry.second,numVtxs_); } void Mesh::setMeshElmBasedFieldSize(){ diff --git a/src/pmpo_mesh.hpp b/src/pmpo_mesh.hpp index 3b91dc3..2058e13 100644 --- a/src/pmpo_mesh.hpp +++ b/src/pmpo_mesh.hpp @@ -20,6 +20,7 @@ enum MeshFieldIndex{ MeshF_VtxCoords, MeshF_VtxRotLat, MeshF_ElmCenterXYZ, + MeshF_DualTriangleArea, MeshF_Vel, MeshF_VtxMass, MeshF_ElmMass, @@ -38,6 +39,7 @@ template struct meshFieldToType; template <> struct meshFieldToType < MeshF_VtxCoords > { using type = Kokkos::View; }; template <> struct meshFieldToType < MeshF_VtxRotLat > { using type = DoubleView; }; template <> struct meshFieldToType < MeshF_ElmCenterXYZ > { using type = Kokkos::View; }; +template <> struct meshFieldToType < MeshF_DualTriangleArea > { using type = Kokkos::View; }; template <> struct meshFieldToType < MeshF_Vel > { using type = Kokkos::View; }; template <> struct meshFieldToType < MeshF_VtxMass > { using type = Kokkos::View; }; template <> struct meshFieldToType < MeshF_ElmMass > { using type = Kokkos::View; }; @@ -55,6 +57,7 @@ const std::map vtxCoords_; MeshFView vtxRotLat_; MeshFView elmCenterXYZ_; + MeshFView dualTriangleArea_; MeshFView vtxVel_; MeshFView vtxMass_; MeshFView elmMass_; @@ -181,6 +185,9 @@ auto Mesh::getMeshField(){ else if constexpr (index==MeshF_ElmCenterXYZ){ return elmCenterXYZ_; } + else if constexpr (index==MeshF_DualTriangleArea){ + return dualTriangleArea_; + } else if constexpr (index==MeshF_Vel){ return vtxVel_; } diff --git a/src/pmpo_utils.hpp b/src/pmpo_utils.hpp index b9d5f7d..4bd4f88 100644 --- a/src/pmpo_utils.hpp +++ b/src/pmpo_utils.hpp @@ -274,6 +274,18 @@ class Matrix4d { data_[i][i]=data_[i][i]+eps; } } + + KOKKOS_INLINE_FUNCTION + void scaleFirstRowAndColumn(double factor) { + // Scale the first row + for (int j = 0; j < 4; j++) { + data_[0][j] *= factor; + } + // Scale the first column + for (int i = 0; i < 4; i++) { + data_[i][0] *= factor; + } + } }; From eb482e8c51e412577fd463554f23a2f0af953c48 Mon Sep 17 00:00:00 2001 From: dhyan1272 Date: Mon, 10 Feb 2025 07:56:44 -0800 Subject: [PATCH 2/5] Scaling and regularization --- log_MP | 6863 ++++++++++++++++++++++++++ src/pmpo_MPMesh_assembly.hpp | 69 +- src/pmpo_utils.hpp | 15 +- test/testFortranMPReconstruction.f90 | 3 +- 4 files changed, 6918 insertions(+), 32 deletions(-) create mode 100644 log_MP diff --git a/log_MP b/log_MP new file mode 100644 index 0000000..39918fb --- /dev/null +++ b/log_MP @@ -0,0 +1,6863 @@ +netcdf ic_slotted_cylinder_2562 { +dimensions: + nCells = 2562 ; + nVertices = 5120 ; + nCategories = 1 ; + ONE = 1 ; +variables: + double uVelocity(nVertices) ; + double vVelocity(nVertices) ; + double iceAreaCell(nCells) ; + double iceVolumeCell(nCells) ; + double iceAreaCategory(nCells, nCategories, ONE) ; + double iceVolumeCategory(nCells, nCategories, ONE) ; +data: + + uVelocity = 3.51971928314205, 3.47512234552054, 3.39605364751305, + 3.39605364776838, 3.47512234595256, 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const int& mask) { if(mask) { //if material point is 'active'/'enabled' @@ -138,48 +142,69 @@ void MPMesh::assemblyVtx1() { int vID = elm2VtxConn(elm,i+1)-1; //vID = vertex id double w_vtx=weight(mp,i); + double mScale=1; + if(scaling) + mScale=sqrt(dual_triangle_area(vID,0))/radius; + double CoordDiffs[vec4d_nEntries] = {1, (vtxCoords(vID,0) - mpPositions(mp,0))/radius, (vtxCoords(vID,1) - mpPositions(mp,1))/radius, (vtxCoords(vID,2) - mpPositions(mp,2))/radius}; - for (int k=0; kparallel_for(assemble, "assembly"); - bool regularize=true; - //Solve Ax=b for each vertex + //Solve Ax=b for each vertex and apply regularization Kokkos::View VtxCoeffs("VtxCoeffs", p_mesh->getNumVertices()); + Kokkos::parallel_for("solving Ax=b", numVtx, KOKKOS_LAMBDA(const int vtx){ Vec4d v0 = {VtxMatrices(vtx,0,0), VtxMatrices(vtx,0,1), VtxMatrices(vtx,0,2), VtxMatrices(vtx,0,3)}; Vec4d v1 = {VtxMatrices(vtx,1,0), VtxMatrices(vtx,1,1), VtxMatrices(vtx,1,2), VtxMatrices(vtx,1,3)}; Vec4d v2 = {VtxMatrices(vtx,2,0), VtxMatrices(vtx,2,1), VtxMatrices(vtx,2,2), VtxMatrices(vtx,2,3)}; Vec4d v3 = {VtxMatrices(vtx,3,0), VtxMatrices(vtx,3,1), VtxMatrices(vtx,3,2), VtxMatrices(vtx,3,3)}; - + //Define the matrices Matrix4d A = {v0,v1,v2,v3}; Matrix4d A_regularized = {v0, v1, v2, v3}; - - //Method 1 of rgularization - //Need some kind of option to choose regularization method - /* - double A_trace = A.trace(); - A_regularized.addToDiag(A_trace*1e-8); - */ - - //Method 2 of regularization - double mScale=1.0; - if(regularize){ - mScale=sqrt(dual_triangle_area(vtx,0)); - A_regularized.scaleFirstRowAndColumn(mScale); - double regParam=0.0*EPSILON*VtxMatrices(vtx,0,0) + VtxMatrices(vtx,1,1) + VtxMatrices(vtx,2,2) + VtxMatrices(vtx,3,3); - A_regularized.addToDiag(regParam); + //Regularization + switch(reg_method){ + case 0:{ + break; + } + case 1:{ + double A_trace = A.trace(); + A_regularized.addToDiag(A_trace*1e-8); + break; + } + case 2:{ + double regParam=sqrt(EPSILON)*(VtxMatrices(vtx,0,0)+VtxMatrices(vtx,1,1)+VtxMatrices(vtx,2,2)+VtxMatrices(vtx,3,3)); + A_regularized.addToDiag(regParam); + break; + } + default:{ + printf("Invalid regularization method \n"); + break; + } } + //Solve Ax=b double coeff[vec4d_nEntries]={0.0, 0.0, 0.0, 0.0}; CholeskySolve4d_UnitRHS(A_regularized, coeff); - // Undo scaling + double mScale=1; + if(scaling) + mScale=sqrt(dual_triangle_area(vtx,0))/radius; + coeff[0]=coeff[0]*mScale*mScale; coeff[1]=coeff[1]*mScale; coeff[2]=coeff[2]*mScale; diff --git a/src/pmpo_utils.hpp b/src/pmpo_utils.hpp index 4bd4f88..7a2fdcd 100644 --- a/src/pmpo_utils.hpp +++ b/src/pmpo_utils.hpp @@ -370,27 +370,24 @@ void QRDecomp4d(Matrix4d& A, Matrix4d& Q, Matrix4d& R){ Vec4d u_column; for (int l=0; l TEST_VAL-TOLERANCE, "Error: wrong vtx mass") + !call assert(meshVtxMass(i) < TEST_VAL+TOLERANCE .and. meshVtxMass(i) > TEST_VAL-TOLERANCE, "Error: wrong vtx mass") + write(*, *) 'The value of LRV is:', meshVtxMass(i) end do !Test vtx order 1 reconstruction From bc6d2783c0671a42a600e898ca339d875286543b Mon Sep 17 00:00:00 2001 From: dhyan1272 Date: Mon, 10 Feb 2025 10:42:34 -0800 Subject: [PATCH 3/5] Tests read the areaTriangle field, so tests should be successful with regularization --- test/readMPAS.f90 | 42 ++++++++++++++++++++++++++-- test/testFortranMPReconstruction.f90 | 24 +++++++++++----- 2 files changed, 56 insertions(+), 10 deletions(-) diff --git a/test/readMPAS.f90 b/test/readMPAS.f90 index ac7549d..c5a4116 100644 --- a/test/readMPAS.f90 +++ b/test/readMPAS.f90 @@ -27,7 +27,7 @@ subroutine loadMPASMeshInPolyMPO(mpMesh, maxEdges, vertexDegree, & xVertex, yVertex, zVertex, & latVertex, & xCell, yCell, zCell, & - verticesOnCell, cellsOnCell) + verticesOnCell, cellsOnCell, areaTriangle) use :: netcdf use :: iso_c_binding implicit none @@ -42,6 +42,8 @@ subroutine loadMPASMeshInPolyMPO(mpMesh, maxEdges, vertexDegree, & real(kind=MPAS_RKIND), dimension(:), pointer :: latVertex, lonVertex real(kind=MPAS_RKIND), dimension(:), pointer :: xCell, yCell, zCell integer, dimension(:,:), pointer :: verticesOnCell, cellsOnCell + real(kind=MPAS_RKIND), dimension(:), pointer, optional :: areaTriangle + call polympo_checkPrecisionForRealKind(MPAS_RKIND) !check on maxEdges and vertexDegree @@ -75,6 +77,11 @@ subroutine loadMPASMeshInPolyMPO(mpMesh, maxEdges, vertexDegree, & !set mesh element center call polympo_setMeshElmCenter(mpMesh,nCells,c_loc(xCell),c_loc(yCell),c_loc(zCell)) + + if (present(areaTriangle)) then + call polympo_setMeshDualTriangleArea(mpMesh, nVertices, c_loc(areaTriangle)) + end if + end subroutine subroutine readMPASMeshFromNCFile(filename, maxEdges, vertexDegree, & @@ -83,7 +90,8 @@ subroutine readMPASMeshFromNCFile(filename, maxEdges, vertexDegree, & xVertex, yVertex, zVertex, & latVertex, lonVertex, & xCell, yCell, zCell, & - verticesOnCell, cellsOnCell) + verticesOnCell, cellsOnCell, & + areaTriangle) use :: netcdf use :: iso_c_binding implicit none @@ -99,12 +107,14 @@ subroutine readMPASMeshFromNCFile(filename, maxEdges, vertexDegree, & real(kind=MPAS_RKIND), dimension(:), pointer :: latVertex, lonVertex real(kind=MPAS_RKIND), dimension(:), pointer :: xCell, yCell, zCell integer, dimension(:,:), pointer :: verticesOnCell, cellsOnCell + + real(kind=MPAS_RKIND), dimension(:), pointer, optional :: areaTriangle(:) integer :: ncid, status, nCellsID, nVerticesID, maxEdgesID, vertexDegreeID, & nEdgesOnCellID, xVertexID, yVertexID, zVertexID, & latVertexID, lonVertexID, & xCellID, yCellID, zCellID, & - verticesOnCellID, cellsOnCellID + verticesOnCellID, cellsOnCellID, areaTriangleID status = nf90_open(path=trim(filename), mode=nf90_nowrite, ncid=ncid) if (status /= nf90_noerr) then @@ -181,6 +191,10 @@ subroutine readMPASMeshFromNCFile(filename, maxEdges, vertexDegree, & allocate(verticesOnCell(maxEdges, nCells)) allocate(cellsOnCell(maxEdges, nCells)) + if (present(areaTriangle)) then + allocate(areaTriangle(nVertices)) + end if + status = nf90_get_att(ncid, nf90_global, "on_a_sphere", onSphere) if (status /= nf90_noerr) then write(0, *) "readMPASMeshFromNCFile: Error on get attribute 'on_a_sphere'" @@ -275,6 +289,16 @@ subroutine readMPASMeshFromNCFile(filename, maxEdges, vertexDegree, & stop end if + if (present(areaTriangle)) then + status = nf90_inq_varid(ncid, 'areaTriangle', areaTriangleID) + if (status /= nf90_noerr) then + write(0, *) "readMPASMeshFromNCFile: Error on inquire varid of 'areaTriangleID'" + write(0, *) trim(nf90_strerror(status)) + stop + end if + end if + + !Reading the variables status = nf90_get_var(ncid, xVertexID, xVertex) if (status /= nf90_noerr) then write(0, *) "readMPASMeshFromNCFile: Error on get var of 'xVertex'" @@ -352,6 +376,18 @@ subroutine readMPASMeshFromNCFile(filename, maxEdges, vertexDegree, & stop end if + if (present(areaTriangle)) then + print *, "Reading area of dual triangles" + status = nf90_get_var(ncid, areaTriangleID, areaTriangle) + if (status /= nf90_noerr) then + write(0, *) "readMPASMeshFromNCFile: Error on get var of 'areaTriangle'" + write(0, *) trim(nf90_strerror(status)) + stop + end if + else + print *, "Not reading area of dual cells" + end if + status = nf90_close(ncid) end subroutine readMPASMeshFromNCFile subroutine setWithMPASMeshByFortran(mpMesh, fileName, n) bind(C, name="setWithMPASMeshByFortran") diff --git a/test/testFortranMPReconstruction.f90 b/test/testFortranMPReconstruction.f90 index df66815..1253265 100644 --- a/test/testFortranMPReconstruction.f90 +++ b/test/testFortranMPReconstruction.f90 @@ -19,7 +19,7 @@ program main real(kind=MPAS_RKIND) :: pi = 4.0_MPAS_RKIND*atan(1.0_MPAS_RKIND) real(kind=MPAS_RKIND) :: TEST_VAL = 1.1_MPAS_RKIND real(kind=MPAS_RKIND) :: TOLERANCE = 0.0001_MPAS_RKIND - real(kind=MPAS_RKIND) :: TOLERANCE1 = 0.0000000001_MPAS_RKIND + real(kind=MPAS_RKIND) :: TOLERANCE1 = 0.000000001_MPAS_RKIND character (len=2048) :: filename real(kind=MPAS_RKIND), dimension(:,:), pointer :: dispIncr character (len=64) :: onSphere @@ -28,12 +28,15 @@ program main real(kind=MPAS_RKIND), dimension(:), pointer :: xVertex, yVertex, zVertex real(kind=MPAS_RKIND), dimension(:), pointer :: latVertex, lonVertex real(kind=MPAS_RKIND), dimension(:), pointer :: xCell, yCell, zCell + real(kind=MPAS_RKIND), dimension(:), pointer :: areaTriangle + integer, dimension(:,:), pointer :: verticesOnCell, cellsOnCell integer :: numMPs, vID integer, dimension(:), pointer :: mpsPerElm, mp2Elm, isMPActive real(kind=MPAS_RKIND), dimension(:,:), pointer :: mpPosition, mpLatLon real(kind=MPAS_RKIND), dimension(:,:), pointer :: mpMass, mpVel real(kind=MPAS_RKIND), dimension(:), pointer :: meshVtxMass, meshElmMass, meshVtxMass1 + real(kind=MPAS_RKIND), dimension(:), pointer :: meshVtxVelu, meshVtxVelv logical :: inBound integer, parameter :: MP_ACTIVE = 1 integer, parameter :: MP_INACTIVE = 0 @@ -58,7 +61,7 @@ program main xVertex, yVertex, zVertex, & latVertex, lonVertex, & xCell, yCell, zCell, & - verticesOnCell, cellsOnCell) + verticesOnCell, cellsOnCell, areaTriangle) if (onSphere .ne. 'YES') then write (*,*) "The mesh is not spherical!" call exit(1) @@ -74,7 +77,7 @@ program main xVertex, yVertex, zVertex, & latVertex, & xCell, yCell, zCell, & - verticesOnCell, cellsOnCell) + verticesOnCell, cellsOnCell, areaTriangle) nCompsDisp = 2 allocate(dispIncr(nCompsDisp,nVertices)) @@ -90,6 +93,8 @@ program main allocate(meshVtxMass(nVertices)) allocate(meshVtxMass1(nVertices)) allocate(meshElmMass(nCells)) + allocate(meshVtxVelu(nVertices)) + allocate(meshVtxVelv(nVertices)) isMPActive = MP_ACTIVE !all active MPs and some changed below mpsPerElm = 1 !all elements have 1 MP and some changed below @@ -119,16 +124,21 @@ program main call polympo_getMeshVtxMass(mpMesh,nVertices,c_loc(meshVtxMass)) do i = 1, nVertices - !call assert(meshVtxMass(i) < TEST_VAL+TOLERANCE .and. meshVtxMass(i) > TEST_VAL-TOLERANCE, "Error: wrong vtx mass") - write(*, *) 'The value of LRV is:', meshVtxMass(i) + call assert(meshVtxMass(i) < TEST_VAL+TOLERANCE .and. meshVtxMass(i) > TEST_VAL-TOLERANCE, "Error: wrong vtx mass") + !write(*, *) 'The value of LRV is:', meshVtxMass(i) end do !Test vtx order 1 reconstruction call polympo_setReconstructionOfMass(mpMesh,1,polympo_getMeshFVtxType()) + call polympo_setReconstructionOfVel(mpMesh, 1, polympo_getMeshFVtxType()) call polympo_applyReconstruction(mpMesh) call polympo_getMeshVtxMass(mpMesh,nVertices,c_loc(meshVtxMass1)) + call polympo_getMeshVtxVel(mpMesh, nVertices, c_loc(meshVtxVelu), c_loc(meshVtxVelv)) do i = 1, nVertices - call assert(meshVtxMass1(i) < TEST_VAL+TOLERANCE1 .and. meshVtxMass1(i) > TEST_VAL-TOLERANCE1, "Error: wrong vtx mass LINEAR") + call assert(meshVtxMass1(i) < TEST_VAL+TOLERANCE1 .and. meshVtxMass1(i) > TEST_VAL-TOLERANCE1, "Error: wrong vtx mass order 1") + call assert(meshVtxVelu(i) < TEST_VAL+TOLERANCE1 .and. meshVtxVelu(i) > TEST_VAL-TOLERANCE1, "Error: wrong vtx velU order 1") + call assert(meshVtxVelv(i) < TEST_VAL+TOLERANCE1 .and. meshVtxVelv(i) > TEST_VAL-TOLERANCE1, "Error: wrong vtx velV order 1") + write(*, *) 'The value of LRV is:', meshVtxVelu(i)-TEST_VAL, meshVtxVelv(i)-TEST_VAL end do @@ -144,7 +154,7 @@ program main do i = 1, numMPs vID = verticesOnCell(1,mp2Elm(i)) - call assert(meshVtxMass(vID) < TEST_VAL+TOLERANCE .and. meshVtxMass(vID) > TEST_VAL-TOLERANCE, "Error: wrong vtx mass") + call assert(meshVtxMass(vID) < TEST_VAL+TOLERANCE1 .and. meshVtxMass(vID) > TEST_VAL-TOLERANCE1, "Error: wrong vtx mass push") call assert(meshElmMass(mp2Elm(i)) < TEST_VAL+TOLERANCE & .and. meshElmMass(mp2Elm(i)) > TEST_VAL-TOLERANCE, "Error: wrong elm mass") From f8d54fc355c1af658f06847a54c21a303ae95ceb Mon Sep 17 00:00:00 2001 From: dhyan1272 Date: Fri, 14 Feb 2025 09:35:11 -0800 Subject: [PATCH 4/5] Dellaocation, removed log file and created paper folder --- log_MP | 6863 -------------------------- test/testFortranMPReconstruction.f90 | 2 + 2 files changed, 2 insertions(+), 6863 deletions(-) delete mode 100644 log_MP diff --git a/log_MP b/log_MP deleted file mode 100644 index 39918fb..0000000 --- a/log_MP +++ /dev/null @@ -1,6863 +0,0 @@ -netcdf ic_slotted_cylinder_2562 { -dimensions: - nCells = 2562 ; - nVertices = 5120 ; - nCategories = 1 ; - ONE = 1 ; -variables: - double uVelocity(nVertices) ; - double vVelocity(nVertices) ; - double iceAreaCell(nCells) ; - double iceVolumeCell(nCells) ; - double iceAreaCategory(nCells, nCategories, ONE) ; - double iceVolumeCategory(nCells, nCategories, ONE) ; -data: - - uVelocity = 3.51971928314205, 3.47512234552054, 3.39605364751305, - 3.39605364776838, 3.47512234595256, 3.39605364415435, 3.47512234253748, - 3.51971928024815, 3.47512234234787, 3.39605364424297, 0.154357464161867, - 0.154357464418338, 0.154357464376962, 0.154357464500569, - 0.154357464373758, 3.39605364751305, 3.47512234552054, 3.51971928314207, - 3.47512234595257, 3.39605364776839, 3.39605364415435, 3.39605364424296, - 3.47512234234787, 3.51971928024815, 3.47512234253748, 3.39605365600016, - 3.47512235331092, 3.51971929051509, 3.47512235377981, 3.39605365628955, - 3.39605364650079, 3.4751223448265, 3.51971928232674, 3.47512234510602, - 3.3960536468386, 3.3960536465008, 3.39605364683861, 3.47512234510602, - 3.51971928232674, 3.4751223448265, 0.154357464161846, 0.154357464373768, - 0.154357464500558, 0.154357464376972, 0.154357464418328, - 3.47512234965195, 3.51971928719354, 3.47512235073297, 3.39605365277294, - 3.3960536517862, 3.39605365277296, 3.47512235073298, 3.51971928719355, - 3.47512234965196, 3.39605365178622, 3.39605365600017, 3.39605365628957, - 3.47512235377982, 3.51971929051509, 3.47512235331093, 3.33632040348494, - 3.3707523490026, 3.33632040282711, 3.23195483390815, 3.19170730176026, - 3.23195483460147, 3.86052719315628, 3.85735494265993, 3.8600357605879, - 3.86052719312186, 3.85735494257026, 3.86003576053382, 3.85735494241866, - 3.86052719307657, 3.86003576063311, 3.85735494279346, 3.86052719322088, - 3.86003576043921, 3.33632039673443, 3.37075234295757, 3.33632039667594, - 3.23195482756115, 3.19170729467244, 3.23195482762904, 2.14741220053217, - 2.14741220011114, 2.03504821319991, 1.91331103281558, 1.9133110333481, - 2.03504821501541, 3.85735494318127, 3.86003576090522, 3.86052719293465, - 3.85735494202528, 3.86003576029375, 3.86052719337439, 3.86052719290206, - 3.86003576093899, 3.85735494327473, 3.86052719341129, 3.86003576023198, - 3.85735494194176, 3.3363203952616, 3.23195482587916, 3.1917072928257, - 3.23195482556806, 3.33632039492412, 3.37075234133105, 2.14741219436931, - 2.14741219388141, 2.03504820739424, 1.91331102618635, 1.91331102674549, - 2.03504820792936, 1.91331103481011, 2.03504821492811, 2.14741220272273, - 2.14741220392819, 2.03504821887084, 1.9133110359939, 2.14741221165298, - 2.03504822395832, 1.91331104400562, 1.91331104358003, 2.03504822645895, - 2.14741221130944, 2.14741219417938, 2.03504820734298, 1.9133110261006, - 1.91331102602604, 2.03504820752655, 2.14741219418535, 3.86052719322088, - 3.85735494279346, 3.86003576063311, 3.86052719307657, 3.85735494241866, - 3.86003576043921, 3.86052719312186, 3.8600357605879, 3.85735494265993, - 3.86052719315628, 3.86003576053382, 3.85735494257026, 3.3363204028271, - 3.37075234900259, 3.33632040348493, 3.23195483460147, 3.19170730176026, - 3.23195483390815, 1.9133110333481, 1.91331103281558, 2.03504821319992, - 2.14741220011115, 2.14741220053218, 2.03504821501541, 3.33632039673443, - 3.23195482762903, 3.19170729467243, 3.23195482756114, 3.33632039667594, - 3.37075234295757, 3.86052719293466, 3.86003576090522, 3.85735494318127, - 3.86052719337439, 3.86003576029375, 3.85735494202528, 1.91331102618635, - 2.03504820739425, 2.14741219388141, 2.14741219436931, 2.03504820792935, - 1.9133110267455, 3.33632039492412, 3.23195482556806, 3.19170729282571, - 3.23195482587917, 3.3363203952616, 3.37075234133105, 3.86003576093899, - 3.86052719290206, 3.85735494194176, 3.86003576023198, 3.86052719341129, - 3.85735494327473, 3.23195484163699, 3.19170730967967, 3.23195484186681, - 3.33632041042294, 3.37075235592902, 3.33632041023479, 2.14741221165297, - 2.14741221130942, 2.03504822645893, 1.91331104358002, 1.91331104400561, - 2.03504822395829, 3.86003576034742, 3.86052719332038, 3.85735494301239, - 3.86003576077637, 3.86052719300741, 3.85735494219614, 3.33632039797719, - 3.23195482781526, 3.19170729537129, 3.23195482758278, 3.33632039772401, - 3.3707523434905, 1.91331102602603, 1.91331102610058, 2.03504820734297, - 2.14741219417937, 2.14741219418535, 2.03504820752655, 3.33632039797719, - 3.37075234349048, 3.33632039772401, 3.23195482758276, 3.19170729537129, - 3.23195482781525, 3.85735494301239, 3.86052719332038, 3.86003576034742, - 3.85735494219614, 3.86052719300741, 3.86003576077637, 2.14741220272273, - 2.03504821492812, 1.91331103481012, 1.91331103599391, 2.03504821887085, - 2.1474122039282, 3.19170730967966, 3.23195484163698, 3.33632041023479, - 3.37075235592902, 3.33632041042294, 3.23195484186681, 3.29636636362926, - 3.24773691482299, 3.27150647779161, 3.37084721086564, 3.41435559172517, - 3.39249536885371, 3.76894522317819, 3.7353246005687, 3.70681333198533, - 3.72534591930479, 3.76403894959448, 3.78623820284751, 3.7353245999012, - 3.7689452226303, 3.78623820219564, 3.76403894866395, 3.72534591818006, - 3.70681333098936, 3.27150647403733, 3.24773691135723, 3.29636636079297, - 3.39249536603282, 3.41435558865646, 3.37084720718277, 2.95756490679779, - 2.87690638401446, 2.77685515752924, 2.77685515780303, 2.87690638510949, - 2.95756490706125, 2.87690638022213, 2.95756490249572, 2.95756490235291, - 2.87690637954507, 2.7768551526422, 2.77685515289343, 3.29636635933764, - 3.24773691023361, 3.27150647312524, 3.37084720638359, 3.41435558767133, - 3.39249536475112, 3.70681332896657, 3.72534591679101, 3.76403894695546, - 3.78623820082457, 3.76894522059566, 3.73532459820695, 3.73532459794603, - 3.768945220452, 3.7862382005649, 3.76403894665404, 3.7253459162681, - 3.70681332863849, 3.29636635776033, 3.39249536309733, 3.41435558602935, - 3.37084720445461, 3.27150647116826, 3.24773690820345, 0.903438045650939, - 1.03257039861662, 1.16261876910387, 1.16261876965589, 1.03257039872572, - 0.903438046431373, 0.903438053592724, 1.03257040536273, 1.16261877767811, - 1.16261877906432, 1.03257041067264, 0.903438055183172, 0.903438061183353, - 1.03257041680396, 1.16261878592089, 1.16261878643253, 1.03257041488004, - 0.903438061661399, 1.03257040616398, 0.903438053635351, - 0.903438055078504, 1.03257040919781, 1.16261877847409, 1.16261877734117, - 1.03257039949571, 0.903438046662163, 0.903438047790002, 1.0325704004215, - 1.16261877103789, 1.1626187701149, 3.29636636079297, 3.24773691135723, - 3.27150647403733, 3.37084720718277, 3.41435558865647, 3.39249536603282, - 3.76894522263029, 3.7353245999012, 3.70681333098936, 3.72534591818006, - 3.76403894866395, 3.78623820219564, 3.7353246005687, 3.76894522317818, - 3.78623820284752, 3.76403894959447, 3.7253459193048, 3.70681333198533, - 3.247736914823, 3.29636636362927, 3.39249536885371, 3.41435559172518, - 3.37084721086565, 3.27150647779162, 2.95756490679779, 2.95756490706126, - 2.87690638510949, 2.77685515780302, 2.77685515752923, 2.87690638401446, - 3.72534591679101, 3.70681332896656, 3.73532459820695, 3.76894522059565, - 3.78623820082457, 3.76403894695546, 3.2477369102336, 3.29636635933764, - 3.39249536475111, 3.41435558767132, 3.37084720638358, 3.27150647312524, - 2.95756490249571, 2.87690638022212, 2.77685515289343, 2.77685515264219, - 2.87690637954508, 2.95756490235289, 3.29636635776033, 3.24773690820345, - 3.27150647116826, 3.37084720445462, 3.41435558602936, 3.39249536309733, - 3.73532459794603, 3.70681332863849, 3.7253459162681, 3.76403894665404, - 3.78623820056489, 3.768945220452, 3.24773692441733, 3.29636637269177, - 3.39249537736691, 3.41435559992311, 3.37084721945235, 3.27150648687924, - 2.8769063948919, 2.95756491772741, 2.95756491780715, 2.8769063964159, - 2.77685516890115, 2.77685516892971, 3.29636636938179, 3.24773692030793, - 3.27150648241272, 3.37084721516382, 3.4143555962887, 3.39249537413924, - 3.70681333568204, 3.7253459226604, 3.76403895224453, 3.78623820548746, - 3.76894522614054, 3.73532460428986, 3.70681333674755, 3.73532460502842, - 3.76894522673302, 3.78623820620996, 3.76403895324676, 3.7253459239122, - 3.70681333043198, 3.72534591774692, 3.7640389480836, 3.78623820181339, - 3.76894522210539, 3.73532459949979, 3.73532460009807, 3.76894522282055, - 3.78623820247427, 3.76403894917696, 3.72534591863172, 3.70681333147836, - 3.24773691120959, 3.29636636054265, 3.39249536635517, 3.41435558881604, - 3.37084720765732, 3.27150647379344, 2.77685515429861, 2.8769063816351, - 2.95756490432179, 2.95756490447969, 2.87690638155258, 2.77685515435747, - 3.29636635980591, 3.24773691052675, 3.27150647296846, 3.37084720645808, - 3.4143555878722, 3.39249536540832, 3.27150647296846, 3.24773691052675, - 3.29636635980591, 3.39249536540832, 3.41435558787219, 3.37084720645808, - 2.9575649043218, 2.8769063816351, 2.77685515429862, 2.77685515435748, - 2.87690638155259, 2.95756490447969, 3.29636636054265, 3.24773691120959, - 3.27150647379342, 3.37084720765732, 3.41435558881603, 3.39249536635517, - 3.76894522282056, 3.73532460009807, 3.70681333147836, 3.72534591863172, - 3.76403894917696, 3.78623820247427, 3.70681333043198, 3.73532459949979, - 3.76894522210539, 3.78623820181339, 3.76403894808361, 3.72534591774692, - 0.903438046662163, 1.03257039949573, 1.16261877011491, 1.16261877103791, - 1.03257040042149, 0.903438047790018, 0.903438053635359, 1.03257040616398, - 1.16261877734117, 1.16261877847409, 1.03257040919781, 0.903438055078513, - 1.03257041680396, 0.903438061183345, 0.903438061661404, 1.03257041488003, - 1.16261878643252, 1.16261878592087, 1.03257040536272, 0.903438053592724, - 0.903438055183179, 1.03257041067264, 1.16261877906432, 1.1626187776781, - 0.903438045650941, 0.90343804643137, 1.03257039872571, 1.1626187696559, - 1.16261876910389, 1.03257039861661, 3.24773692218824, 3.29636637051913, - 3.39249537553824, 3.41435559839331, 3.37084721805891, 3.27150648520813, - 2.77685516163244, 2.87690638833652, 2.95756491116434, 2.9575649125277, - 2.87690639049826, 2.77685516298305, 3.37084720951275, 3.4143555906345, - 3.39249536880745, 3.29636636297443, 3.24773691395421, 3.27150647558195, - 3.76894522472282, 3.73532460220802, 3.7068133334731, 3.7253459202698, - 3.76403895060766, 3.78623820394614, 3.7253459229499, 3.70681333565846, - 3.73532460382477, 3.76894522585012, 3.78623820545346, 3.76403895252925, - 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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, - 1, - 1, - 1, - 0, - 0, - 0, - 1, - 1, - 1, - 0, - 0, - 0, - 0, - 0, - 0 ; -} diff --git a/test/testFortranMPReconstruction.f90 b/test/testFortranMPReconstruction.f90 index 1253265..03a4165 100644 --- a/test/testFortranMPReconstruction.f90 +++ b/test/testFortranMPReconstruction.f90 @@ -186,6 +186,8 @@ program main deallocate(meshVtxMass) deallocate(meshVtxMass1) deallocate(meshElmMass) + deallocate(meshVtxVelu) + deallocate(meshVtxVelv) stop From 5da1001209d444ab86dfd86b2c3981dcf818d754 Mon Sep 17 00:00:00 2001 From: dhyan1272 Date: Fri, 14 Feb 2025 14:12:41 -0800 Subject: [PATCH 5/5] Order 1 reconstruction, coefficients calculated once --- src/pmpo_MPMesh.cpp | 1 + src/pmpo_MPMesh.hpp | 12 +++++- src/pmpo_MPMesh_assembly.hpp | 83 ++++++++++++++++++++++++------------ 3 files changed, 68 insertions(+), 28 deletions(-) diff --git a/src/pmpo_MPMesh.cpp b/src/pmpo_MPMesh.cpp index 45319be..a5f709a 100644 --- a/src/pmpo_MPMesh.cpp +++ b/src/pmpo_MPMesh.cpp @@ -301,6 +301,7 @@ void MPMesh::reconstructSlices() { if (reconstructSlice.size() == 0) return; Kokkos::Timer timer; calcBasis(); + resetPreComputeFlag(); for (auto const& [index, reconstruct] : reconstructSlice) { if (reconstruct) reconstruct(); } diff --git a/src/pmpo_MPMesh.hpp b/src/pmpo_MPMesh.hpp index 5a63ef9..33f0599 100644 --- a/src/pmpo_MPMesh.hpp +++ b/src/pmpo_MPMesh.hpp @@ -16,7 +16,17 @@ template <> const MaterialPointSlice meshFieldIndexToMPSlice < MeshF_RotLatLonIn #define maxMPsPerElm 8 class MPMesh{ + private: + + bool isPreComputed; + public: + + MPMesh() : isPreComputed(false){}; + void computeMatricesAndSolve(); + void resetPreComputeFlag(); + Kokkos::View precomputedVtxCoeffs; + Mesh* p_mesh; MaterialPoints* p_MPs; @@ -49,7 +59,7 @@ class MPMesh{ void assemblyElm0(); template void assemblyVtx1(); - + template void setReconstructSlice(int order, MeshFieldType type); void reconstructSlices(); diff --git a/src/pmpo_MPMesh_assembly.hpp b/src/pmpo_MPMesh_assembly.hpp index c325a10..25899b9 100644 --- a/src/pmpo_MPMesh_assembly.hpp +++ b/src/pmpo_MPMesh_assembly.hpp @@ -98,34 +98,28 @@ void MPMesh::assemblyElm0() { pumipic::RecordTime("PolyMPO_Reconstruct_Elm0", timer.seconds()); } -template -void MPMesh::assemblyVtx1() { - + +void MPMesh::resetPreComputeFlag(){ + isPreComputed = false; +} + +void MPMesh::computeMatricesAndSolve(){ + //Mesh Information auto elm2VtxConn = p_mesh->getElm2VtxConn(); int numVtx = p_mesh->getNumVertices(); auto vtxCoords = p_mesh->getMeshField(); - //Mesh Field - constexpr MaterialPointSlice mpfIndex = meshFieldIndexToMPSlice; - const int numEntries = mpSliceToNumEntries(); - p_mesh->fillMeshField(numVtx, numEntries, 0.0); - auto meshField = p_mesh->getMeshField(); - //Dual Element Area for Regularization auto dual_triangle_area=p_mesh->getMeshField(); //Material Points - auto mpData = p_MPs->getData(); auto weight = p_MPs->getData(); auto mpPositions = p_MPs->getData(); //Matrix for each vertex Kokkos::View VtxMatrices("VtxMatrices", p_mesh->getNumVertices()); - //Reconstructed values - Kokkos::View reconVals("meshField", p_mesh->getNumVertices(), numEntries); - //Earth Radius double radius = 1.0; if(p_mesh->getGeomType() == geom_spherical_surf) @@ -141,22 +135,19 @@ void MPMesh::assemblyVtx1() { for(int i=0; iparallel_for(assemble, "assembly"); - //Solve Ax=b for each vertex and apply regularization + //Assemble matrix for each vertex and apply regularization Kokkos::View VtxCoeffs("VtxCoeffs", p_mesh->getNumVertices()); Kokkos::parallel_for("solving Ax=b", numVtx, KOKKOS_LAMBDA(const int vtx){ @@ -188,7 +179,8 @@ void MPMesh::assemblyVtx1() { break; } case 2:{ - double regParam=sqrt(EPSILON)*(VtxMatrices(vtx,0,0)+VtxMatrices(vtx,1,1)+VtxMatrices(vtx,2,2)+VtxMatrices(vtx,3,3)); + double regParam=sqrt(EPSILON)*(VtxMatrices(vtx,0,0)+VtxMatrices(vtx,1,1)+ + VtxMatrices(vtx,2,2)+VtxMatrices(vtx,3,3)); A_regularized.addToDiag(regParam); break; } @@ -212,7 +204,43 @@ void MPMesh::assemblyVtx1() { for (int i=0; iprecomputedVtxCoeffs = VtxCoeffs; +} + +template +void MPMesh::assemblyVtx1() { + + //If no reconstruction till now calculate the coeffs + if (!isPreComputed) { + computeMatricesAndSolve(); + isPreComputed=true; + } + auto VtxCoeffs=this->precomputedVtxCoeffs; + //Mesh Information + auto elm2VtxConn = p_mesh->getElm2VtxConn(); + int numVtx = p_mesh->getNumVertices(); + auto vtxCoords = p_mesh->getMeshField(); + + //Mesh Field + constexpr MaterialPointSlice mpfIndex = meshFieldIndexToMPSlice; + const int numEntries = mpSliceToNumEntries(); + p_mesh->fillMeshField(numVtx, numEntries, 0.0); + auto meshField = p_mesh->getMeshField(); + + //Material Points + auto mpData = p_MPs->getData(); + auto weight = p_MPs->getData(); + auto mpPositions = p_MPs->getData(); + + //Earth Radius + double radius = 1.0; + if(p_mesh->getGeomType() == geom_spherical_surf) + radius=p_mesh->getSphereRadius(); + + //Reconstructed values + Kokkos::View reconVals("meshField", p_mesh->getNumVertices(), numEntries); + //Reconstruct auto reconstruct = PS_LAMBDA(const int& elm, const int& mp, const int& mask) { if(mask) { //if material point is 'active'/'enabled' @@ -223,7 +251,7 @@ void MPMesh::assemblyVtx1() { double CoordDiffs[vec4d_nEntries] = {1, (vtxCoords(vID,0) - mpPositions(mp,0))/radius, (vtxCoords(vID,1) - mpPositions(mp,1))/radius, (vtxCoords(vID,2) - mpPositions(mp,2))/radius}; - + auto factor = w_vtx*(VtxCoeffs(vID,0) + VtxCoeffs(vID,1)*CoordDiffs[1] + VtxCoeffs(vID,2)*CoordDiffs[2] + VtxCoeffs(vID,3)*CoordDiffs[3]); @@ -236,7 +264,8 @@ void MPMesh::assemblyVtx1() { } }; p_MPs->parallel_for(reconstruct, "reconstruct"); - + + //Assign as a field Kokkos::parallel_for("assigning", numVtx, KOKKOS_LAMBDA(const int vtx){ for(int k=0; k