diff --git a/src/grid/spectral_utilities.f90 b/src/grid/spectral_utilities.f90 index 95e75b854..f5e1642cc 100644 --- a/src/grid/spectral_utilities.f90 +++ b/src/grid/spectral_utilities.f90 @@ -32,23 +32,26 @@ module spectral_utilities !-------------------------------------------------------------------------------------------------- ! grid related information - real(pReal), protected, public :: wgt !< weighting factor 1/Nelems - integer, protected, public :: cells1Red !< cells(1)/2 - real(pReal), protected, public, dimension(3) :: scaledGeomSize !< scaled geometry size for calculation of divergence + real(pReal), protected, public :: wgt !< weighting factor 1/Nelems + real(pReal), protected, public, dimension(3) :: scaledGeomSize !< scaled geometry size for calculation of divergence + integer :: & + cells1Red, & !< cells(1)/2+1 + cells2, & !< (local) cells in 2nd direction + cells2Offset !< (local) cells offset in 2nd direction !-------------------------------------------------------------------------------------------------- ! variables storing information for spectral method and FFTW - real(C_DOUBLE), public, dimension(:,:,:,:,:), pointer :: tensorField_real !< tensor field in real space - real(C_DOUBLE), public, dimension(:,:,:,:), pointer :: vectorField_real !< vector field in real space - real(C_DOUBLE), public, dimension(:,:,:), pointer :: scalarField_real !< scalar field in real space - complex(C_DOUBLE_COMPLEX), dimension(:,:,:,:,:), pointer :: tensorField_fourier !< tensor field in Fourier space - complex(C_DOUBLE_COMPLEX), dimension(:,:,:,:), pointer :: vectorField_fourier !< tensor field in Fourier space - complex(C_DOUBLE_COMPLEX), dimension(:,:,:), pointer :: scalarField_fourier !< tensor field in Fourier space - complex(pReal), dimension(:,:,:,:,:,:,:), allocatable :: gamma_hat !< gamma operator (field) for spectral method - complex(pReal), dimension(:,:,:,:), allocatable :: xi1st !< wave vector field for first derivatives - complex(pReal), dimension(:,:,:,:), allocatable :: xi2nd !< wave vector field for second derivatives - real(pReal), dimension(3,3,3,3) :: C_ref !< mechanic reference stiffness + real(C_DOUBLE), public, dimension(:,:,:,:,:), pointer :: tensorField_real !< tensor field in real space + real(C_DOUBLE), public, dimension(:,:,:,:), pointer :: vectorField_real !< vector field in real space + real(C_DOUBLE), public, dimension(:,:,:), pointer :: scalarField_real !< scalar field in real space + complex(C_DOUBLE_COMPLEX), dimension(:,:,:,:,:), pointer :: tensorField_fourier !< tensor field in Fourier space + complex(C_DOUBLE_COMPLEX), dimension(:,:,:,:), pointer :: vectorField_fourier !< vector field in Fourier space + complex(C_DOUBLE_COMPLEX), dimension(:,:,:), pointer :: scalarField_fourier !< scalar field in Fourier space + complex(pReal), dimension(:,:,:,:,:,:,:), allocatable :: gamma_hat !< gamma operator (field) for spectral method + complex(pReal), dimension(:,:,:,:), allocatable :: xi1st !< wave vector field for first derivatives + complex(pReal), dimension(:,:,:,:), allocatable :: xi2nd !< wave vector field for second derivatives + real(pReal), dimension(3,3,3,3) :: C_ref !< mechanic reference stiffness !-------------------------------------------------------------------------------------------------- @@ -151,11 +154,15 @@ subroutine spectral_utilities_init() FFTW_planner_flag integer, dimension(3) :: k_s type(C_PTR) :: & - tensorField, & !< field containing data for FFTW in real and fourier space (in place) - vectorField, & !< field containing data for FFTW in real space when debugging FFTW (no in place) - scalarField !< field containing data for FFTW in real space when debugging FFTW (no in place) + tensorField, & !< tensor data for FFTW in real and Fourier space (in-place) + vectorField, & !< vector data for FFTW in real and Fourier space (in-place) + scalarField !< scalar data for FFTW in real and Fourier space (in-place) integer(C_INTPTR_T), dimension(3) :: cellsFFTW - integer(C_INTPTR_T) :: N, z, devNull + integer(C_INTPTR_T) :: N, & + cells3FFTW, & !< # of cells in 3. dim on current process in real space + cells3_offset, & !< offset for cells in 3. dim on current process in real space + cells2FFTW, & !< # of cells in 2. dim on current process in Fourier space + cells2_offset !< offset for cells in 2. dim on curren process in Fourier space integer(C_INTPTR_T), parameter :: & vectorSize = 3_C_INTPTR_T, & tensorSize = 9_C_INTPTR_T @@ -163,7 +170,7 @@ subroutine spectral_utilities_init() PETSCDEBUG = ' -snes_view -snes_monitor ' class(tNode) , pointer :: & num_grid, & - debug_grid ! pointer to grid debug options + debug_grid ! pointer to grid debug options print'(/,1x,a)', '<<<+- spectral_utilities init -+>>>' @@ -229,16 +236,16 @@ subroutine spectral_utilities_init() do j = 1, 3 if (j /= minloc(geomSize,1) .and. j /= maxloc(geomSize,1)) & scaledGeomSize = geomSize/geomSize(j) - enddo + end do elseif (num%divergence_correction == 2) then do j = 1, 3 if ( j /= int(minloc(geomSize/real(cells,pReal),1)) & .and. j /= int(maxloc(geomSize/real(cells,pReal),1))) & scaledGeomSize = geomSize/geomSize(j)*real(cells(j),pReal) - enddo + end do else scaledGeomSize = geomSize - endif + end if select case(IO_lc(num_grid%get_asString('fftw_plan_mode',defaultVal='FFTW_MEASURE'))) case('fftw_estimate') ! ordered from slow execution (but fast plan creation) to fast execution @@ -261,51 +268,58 @@ subroutine spectral_utilities_init() print'(/,1x,a)', 'FFTW initialized'; flush(IO_STDOUT) -!-------------------------------------------------------------------------------------------------- -! allocation - allocate (xi1st (3,cells1Red,cells(2),cells3),source = cmplx(0.0_pReal,0.0_pReal,pReal)) ! frequencies for first derivatives, only half the size for first dimension - allocate (xi2nd (3,cells1Red,cells(2),cells3),source = cmplx(0.0_pReal,0.0_pReal,pReal)) ! frequencies for second derivatives, only half the size for first dimension - cellsFFTW = int(cells,C_INTPTR_T) - N = fftw_mpi_local_size_many(3,[cellsFFTW(3),cellsFFTW(2),cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T],& - tensorSize,FFTW_MPI_DEFAULT_BLOCK,PETSC_COMM_WORLD,z,devNull) - if (int(z) /= cells3) error stop 'domain decomposition mismatch (tensor)' + N = fftw_mpi_local_size_many_transposed(3,[cellsFFTW(3),cellsFFTW(2),int(cells1Red,C_INTPTR_T)], & + tensorSize,FFTW_MPI_DEFAULT_BLOCK,FFTW_MPI_DEFAULT_BLOCK,PETSC_COMM_WORLD, & + cells3FFTW,cells3_offset,cells2FFTW,cells2_offset) + cells2 = int(cells2FFTW) + cells2Offset = int(cells2_offset) + if (int(cells3FFTW) /= cells3) error stop 'domain decomposition mismatch (tensor, real space)' tensorField = fftw_alloc_complex(N) call c_f_pointer(tensorField,tensorField_real, & - [3_C_INTPTR_T,3_C_INTPTR_T,2_C_INTPTR_T*(cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T),cellsFFTW(2),z]) + [3_C_INTPTR_T,3_C_INTPTR_T,int(cells1Red*2,C_INTPTR_T),cellsFFTW(2),cells3FFTW]) call c_f_pointer(tensorField,tensorField_fourier, & - [3_C_INTPTR_T,3_C_INTPTR_T, cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T, cellsFFTW(2),z]) + [3_C_INTPTR_T,3_C_INTPTR_T,int(cells1Red, C_INTPTR_T),cellsFFTW(3),cells2FFTW]) - N = fftw_mpi_local_size_many(3,[cellsFFTW(3),cellsFFTW(2),cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T],& - vectorSize,FFTW_MPI_DEFAULT_BLOCK,PETSC_COMM_WORLD,z,devNull) - if (int(z) /= cells3) error stop 'domain decomposition mismatch (vector)' + + N = fftw_mpi_local_size_many_transposed(3,[cellsFFTW(3),cellsFFTW(2),int(cells1Red,C_INTPTR_T)], & + vectorSize,FFTW_MPI_DEFAULT_BLOCK,FFTW_MPI_DEFAULT_BLOCK,PETSC_COMM_WORLD, & + cells3FFTW,cells3_offset,cells2FFTW,cells2_offset) + if (int(cells3FFTW) /= cells3) error stop 'domain decomposition mismatch (vector, real space)' + if (int(cells2FFTW) /= cells2) error stop 'domain decomposition mismatch (vector, Fourier space)' vectorField = fftw_alloc_complex(N) call c_f_pointer(vectorField,vectorField_real, & - [3_C_INTPTR_T,2_C_INTPTR_T*(cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T),cellsFFTW(2),z]) + [3_C_INTPTR_T,int(cells1Red*2,C_INTPTR_T),cellsFFTW(2),cells3FFTW]) call c_f_pointer(vectorField,vectorField_fourier, & - [3_C_INTPTR_T, cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T, cellsFFTW(2),z]) + [3_C_INTPTR_T,int(cells1Red, C_INTPTR_T),cellsFFTW(3),cells2FFTW]) - N = fftw_mpi_local_size_3d(cellsFFTW(3),cellsFFTW(2),cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T,& - PETSC_COMM_WORLD,z,devNull) - if (int(z) /= cells3) error stop 'domain decomposition mismatch (scalar)' + N = fftw_mpi_local_size_3d_transposed(cellsFFTW(3),cellsFFTW(2),int(cells1Red,C_INTPTR_T), & + PETSC_COMM_WORLD,cells3FFTW,cells3_offset,cells2FFTW,cells2_offset) + if (int(cells3FFTW) /= cells3) error stop 'domain decomposition mismatch (scalar, real space)' + if (int(cells2FFTW) /= cells2) error stop 'domain decomposition mismatch (scalar, Fourier space)' scalarField = fftw_alloc_complex(N) call c_f_pointer(scalarField,scalarField_real, & - [2_C_INTPTR_T*(cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T),cellsFFTW(2),z]) + [int(cells1Red*2,C_INTPTR_T),cellsFFTW(2),cells3FFTW]) call c_f_pointer(scalarField,scalarField_fourier, & - [ cellsFFTW(1)/2_C_INTPTR_T+1_C_INTPTR_T, cellsFFTW(2),z]) + [int(cells1Red, C_INTPTR_T),cellsFFTW(3),cells2FFTW]) + +!-------------------------------------------------------------------------------------------------- +! allocation + allocate (xi1st (3,cells1Red,cells(3),cells2),source = cmplx(0.0_pReal,0.0_pReal,pReal)) ! frequencies for first derivatives, only half the size for first dimension + allocate (xi2nd (3,cells1Red,cells(3),cells2),source = cmplx(0.0_pReal,0.0_pReal,pReal)) ! frequencies for second derivatives, only half the size for first dimension !-------------------------------------------------------------------------------------------------- ! tensor MPI fftw plans planTensorForth = fftw_mpi_plan_many_dft_r2c(3,cellsFFTW(3:1:-1),tensorSize, & FFTW_MPI_DEFAULT_BLOCK,FFTW_MPI_DEFAULT_BLOCK, & tensorField_real,tensorField_fourier, & - PETSC_COMM_WORLD,FFTW_planner_flag) + PETSC_COMM_WORLD,FFTW_planner_flag+FFTW_MPI_TRANSPOSED_OUT) if (.not. c_associated(planTensorForth)) error stop 'FFTW error r2c tensor' planTensorBack = fftw_mpi_plan_many_dft_c2r(3,cellsFFTW(3:1:-1),tensorSize, & FFTW_MPI_DEFAULT_BLOCK,FFTW_MPI_DEFAULT_BLOCK, & tensorField_fourier,tensorField_real, & - PETSC_COMM_WORLD,FFTW_planner_flag) + PETSC_COMM_WORLD,FFTW_planner_flag+FFTW_MPI_TRANSPOSED_IN) if (.not. c_associated(planTensorBack)) error stop 'FFTW error c2r tensor' !-------------------------------------------------------------------------------------------------- @@ -313,49 +327,49 @@ subroutine spectral_utilities_init() planVectorForth = fftw_mpi_plan_many_dft_r2c(3,cellsFFTW(3:1:-1),vectorSize, & FFTW_MPI_DEFAULT_BLOCK,FFTW_MPI_DEFAULT_BLOCK, & vectorField_real,vectorField_fourier, & - PETSC_COMM_WORLD,FFTW_planner_flag) + PETSC_COMM_WORLD,FFTW_planner_flag+FFTW_MPI_TRANSPOSED_OUT) if (.not. c_associated(planVectorForth)) error stop 'FFTW error r2c vector' planVectorBack = fftw_mpi_plan_many_dft_c2r(3,cellsFFTW(3:1:-1),vectorSize, & FFTW_MPI_DEFAULT_BLOCK,FFTW_MPI_DEFAULT_BLOCK, & vectorField_fourier,vectorField_real, & - PETSC_COMM_WORLD,FFTW_planner_flag) + PETSC_COMM_WORLD,FFTW_planner_flag+FFTW_MPI_TRANSPOSED_IN) if (.not. c_associated(planVectorBack)) error stop 'FFTW error c2r vector' !-------------------------------------------------------------------------------------------------- ! scalar MPI fftw plans planScalarForth = fftw_mpi_plan_dft_r2c_3d(cellsFFTW(3),cellsFFTW(2),cellsFFTW(1), & scalarField_real,scalarField_fourier, & - PETSC_COMM_WORLD,FFTW_planner_flag) + PETSC_COMM_WORLD,FFTW_planner_flag+FFTW_MPI_TRANSPOSED_OUT) if (.not. c_associated(planScalarForth)) error stop 'FFTW error r2c scalar' planScalarBack = fftw_mpi_plan_dft_c2r_3d(cellsFFTW(3),cellsFFTW(2),cellsFFTW(1), & scalarField_fourier,scalarField_real, & - PETSC_COMM_WORLD,FFTW_planner_flag) + PETSC_COMM_WORLD,FFTW_planner_flag+FFTW_MPI_TRANSPOSED_IN) if (.not. c_associated(planScalarBack)) error stop 'FFTW error c2r scalar' !-------------------------------------------------------------------------------------------------- ! calculation of discrete angular frequencies, ordered as in FFTW (wrap around) - do k = cells3Offset+1, cells3Offset+cells3 - k_s(3) = k - 1 - if (k > cells(3)/2 + 1) k_s(3) = k_s(3) - cells(3) ! running from 0,1,...,N/2,N/2+1,-N/2,-N/2+1,...,-1 - do j = 1, cells(2) - k_s(2) = j - 1 - if (j > cells(2)/2 + 1) k_s(2) = k_s(2) - cells(2) ! running from 0,1,...,N/2,N/2+1,-N/2,-N/2+1,...,-1 + do j = cells2Offset+1, cells2Offset+cells2 + k_s(2) = j - 1 + if (j > cells(2)/2 + 1) k_s(2) = k_s(2) - cells(2) ! running from 0,1,...,N/2,N/2+1,-N/2,-N/2+1,...,-1 + do k = 1, cells(3) + k_s(3) = k - 1 + if (k > cells(3)/2 + 1) k_s(3) = k_s(3) - cells(3) ! running from 0,1,...,N/2,N/2+1,-N/2,-N/2+1,...,-1 do i = 1, cells1Red k_s(1) = i - 1 ! symmetry, junst running from 0,1,...,N/2,N/2+1 - xi2nd(1:3,i,j,k-cells3Offset) = utilities_getFreqDerivative(k_s) + xi2nd(1:3,i,k,j-cells2Offset) = utilities_getFreqDerivative(k_s) where(mod(cells,2)==0 .and. [i,j,k] == cells/2+1 .and. & spectral_derivative_ID == DERIVATIVE_CONTINUOUS_ID) ! for even grids, set the Nyquist Freq component to 0.0 - xi1st(1:3,i,j,k-cells3Offset) = cmplx(0.0_pReal,0.0_pReal,pReal) + xi1st(1:3,i,k,j-cells2Offset) = cmplx(0.0_pReal,0.0_pReal,pReal) elsewhere - xi1st(1:3,i,j,k-cells3Offset) = xi2nd(1:3,i,j,k-cells3Offset) + xi1st(1:3,i,k,j-cells2Offset) = xi2nd(1:3,i,k,j-cells2Offset) endwhere - enddo; enddo; enddo + end do; end do; end do if (num%memory_efficient) then ! allocate just single fourth order tensor allocate (gamma_hat(3,3,3,3,1,1,1), source = cmplx(0.0_pReal,0.0_pReal,pReal)) else ! precalculation of gamma_hat field - allocate (gamma_hat(3,3,3,3,cells1Red,cells(2),cells3), source = cmplx(0.0_pReal,0.0_pReal,pReal)) - endif + allocate (gamma_hat(3,3,3,3,cells1Red,cells(3),cells2), source = cmplx(0.0_pReal,0.0_pReal,pReal)) + end if call selfTest() @@ -383,18 +397,18 @@ subroutine utilities_updateGamma(C) if (.not. num%memory_efficient) then gamma_hat = cmplx(0.0_pReal,0.0_pReal,pReal) ! for the singular point and any non invertible A !$OMP PARALLEL DO PRIVATE(l,m,n,o,temp33_cmplx,xiDyad_cmplx,A,A_inv,err) - do k = cells3Offset+1, cells3Offset+cells3; do j = 1, cells(2); do i = 1, cells1Red + do j = cells2Offset+1, cells2Offset+cells2; do k = 1, cells(3); do i = 1, cells1Red if (any([i,j,k] /= 1)) then ! singular point at xi=(0.0,0.0,0.0) i.e. i=j=k=1 #ifndef __INTEL_COMPILER do concurrent(l = 1:3, m = 1:3) - xiDyad_cmplx(l,m) = conjg(-xi1st(l,i,j,k-cells3Offset))*xi1st(m,i,j,k-cells3Offset) + xiDyad_cmplx(l,m) = conjg(-xi1st(l,i,k,j-cells2Offset))*xi1st(m,i,k,j-cells2Offset) end do do concurrent(l = 1:3, m = 1:3) temp33_cmplx(l,m) = sum(cmplx(C_ref(l,1:3,m,1:3),0.0_pReal,pReal)*xiDyad_cmplx) end do #else forall(l = 1:3, m = 1:3) & - xiDyad_cmplx(l,m) = conjg(-xi1st(l,i,j,k-cells3Offset))*xi1st(m,i,j,k-cells3Offset) + xiDyad_cmplx(l,m) = conjg(-xi1st(l,i,k,j-cells2Offset))*xi1st(m,i,k,j-cells2Offset) forall(l = 1:3, m = 1:3) & temp33_cmplx(l,m) = sum(cmplx(C_ref(l,1:3,m,1:3),0.0_pReal,pReal)*xiDyad_cmplx) #endif @@ -405,17 +419,17 @@ subroutine utilities_updateGamma(C) temp33_cmplx = cmplx(A_inv(1:3,1:3),A_inv(1:3,4:6),pReal) #ifndef __INTEL_COMPILER do concurrent(l=1:3, m=1:3, n=1:3, o=1:3) - gamma_hat(l,m,n,o,i,j,k-cells3Offset) = temp33_cmplx(l,n) * xiDyad_cmplx(o,m) + gamma_hat(l,m,n,o,i,k,j-cells2Offset) = temp33_cmplx(l,n) * xiDyad_cmplx(o,m) end do #else forall(l=1:3, m=1:3, n=1:3, o=1:3) & - gamma_hat(l,m,n,o,i,j,k-cells3Offset) = temp33_cmplx(l,n) * xiDyad_cmplx(o,m) + gamma_hat(l,m,n,o,i,k,j-cells2Offset) = temp33_cmplx(l,n) * xiDyad_cmplx(o,m) #endif end if end if end do; end do; end do !$OMP END PARALLEL DO - endif + end if end subroutine utilities_updateGamma @@ -516,18 +530,18 @@ subroutine utilities_fourierGammaConvolution(fieldAim) ! do the actual spectral method calculation (mechanical equilibrium) memoryEfficient: if (num%memory_efficient) then !$OMP PARALLEL DO PRIVATE(l,m,n,o,temp33_cmplx,xiDyad_cmplx,A,A_inv,err,gamma_hat) - do k = 1, cells3; do j = 1, cells(2); do i = 1, cells1Red - if (any([i,j,k+cells3Offset] /= 1)) then ! singular point at xi=(0.0,0.0,0.0) i.e. i=j=k=1 + do j = 1, cells2; do k = 1, cells(3); do i = 1, cells1Red + if (any([i,j+cells2Offset,k] /= 1)) then ! singular point at xi=(0.0,0.0,0.0) i.e. i=j=k=1 #ifndef __INTEL_COMPILER do concurrent(l = 1:3, m = 1:3) - xiDyad_cmplx(l,m) = conjg(-xi1st(l,i,j,k))*xi1st(m,i,j,k) + xiDyad_cmplx(l,m) = conjg(-xi1st(l,i,k,j))*xi1st(m,i,k,j) end do do concurrent(l = 1:3, m = 1:3) temp33_cmplx(l,m) = sum(cmplx(C_ref(l,1:3,m,1:3),0.0_pReal,pReal)*xiDyad_cmplx) end do #else forall(l = 1:3, m = 1:3) & - xiDyad_cmplx(l,m) = conjg(-xi1st(l,i,j,k))*xi1st(m,i,j,k) + xiDyad_cmplx(l,m) = conjg(-xi1st(l,i,k,j))*xi1st(m,i,k,j) forall(l = 1:3, m = 1:3) & temp33_cmplx(l,m) = sum(cmplx(C_ref(l,1:3,m,1:3),0.0_pReal,pReal)*xiDyad_cmplx) #endif @@ -541,33 +555,33 @@ subroutine utilities_fourierGammaConvolution(fieldAim) gamma_hat(l,m,n,o,1,1,1) = temp33_cmplx(l,n)*xiDyad_cmplx(o,m) end do do concurrent(l = 1:3, m = 1:3) - temp33_cmplx(l,m) = sum(gamma_hat(l,m,1:3,1:3,1,1,1)*tensorField_fourier(1:3,1:3,i,j,k)) + temp33_cmplx(l,m) = sum(gamma_hat(l,m,1:3,1:3,1,1,1)*tensorField_fourier(1:3,1:3,i,k,j)) end do #else forall(l=1:3, m=1:3, n=1:3, o=1:3) & gamma_hat(l,m,n,o,1,1,1) = temp33_cmplx(l,n)*xiDyad_cmplx(o,m) forall(l = 1:3, m = 1:3) & - temp33_cmplx(l,m) = sum(gamma_hat(l,m,1:3,1:3,1,1,1)*tensorField_fourier(1:3,1:3,i,j,k)) + temp33_cmplx(l,m) = sum(gamma_hat(l,m,1:3,1:3,1,1,1)*tensorField_fourier(1:3,1:3,i,k,j)) #endif - tensorField_fourier(1:3,1:3,i,j,k) = temp33_cmplx + tensorField_fourier(1:3,1:3,i,k,j) = temp33_cmplx else - tensorField_fourier(1:3,1:3,i,j,k) = cmplx(0.0_pReal,0.0_pReal,pReal) + tensorField_fourier(1:3,1:3,i,k,j) = cmplx(0.0_pReal,0.0_pReal,pReal) end if end if end do; end do; end do !$OMP END PARALLEL DO else memoryEfficient !$OMP PARALLEL DO PRIVATE(l,m,temp33_cmplx) - do k = 1, cells3; do j = 1, cells(2); do i = 1,cells1Red + do j = 1, cells2; do k = 1, cells(3); do i = 1,cells1Red #ifndef __INTEL_COMPILER do concurrent(l = 1:3, m = 1:3) - temp33_cmplx(l,m) = sum(gamma_hat(l,m,1:3,1:3,i,j,k)*tensorField_fourier(1:3,1:3,i,j,k)) + temp33_cmplx(l,m) = sum(gamma_hat(l,m,1:3,1:3,i,k,j)*tensorField_fourier(1:3,1:3,i,k,j)) end do #else forall(l = 1:3, m = 1:3) & - temp33_cmplx(l,m) = sum(gamma_hat(l,m,1:3,1:3,i,j,k)*tensorField_fourier(1:3,1:3,i,j,k)) + temp33_cmplx(l,m) = sum(gamma_hat(l,m,1:3,1:3,i,k,j)*tensorField_fourier(1:3,1:3,i,k,j)) #endif - tensorField_fourier(1:3,1:3,i,j,k) = temp33_cmplx + tensorField_fourier(1:3,1:3,i,k,j) = temp33_cmplx end do; end do; end do !$OMP END PARALLEL DO end if memoryEfficient @@ -590,12 +604,12 @@ subroutine utilities_fourierGreenConvolution(D_ref, mu_ref, Delta_t) !-------------------------------------------------------------------------------------------------- ! do the actual spectral method calculation !$OMP PARALLEL DO PRIVATE(GreenOp_hat) - do k = 1, cells3; do j = 1, cells(2) ;do i = 1, cells1Red + do j = 1, cells2; do k = 1, cells(3); do i = 1, cells1Red GreenOp_hat = cmplx(1.0_pReal,0.0_pReal,pReal) & / (cmplx(mu_ref,0.0_pReal,pReal) + cmplx(Delta_t,0.0_pReal,pReal) & - * sum(conjg(xi1st(1:3,i,j,k))* matmul(cmplx(D_ref,0.0_pReal,pReal),xi1st(1:3,i,j,k)))) - scalarField_fourier(i,j,k) = scalarField_fourier(i,j,k)*GreenOp_hat - enddo; enddo; enddo + * sum(conjg(xi1st(1:3,i,k,j))* matmul(cmplx(D_ref,0.0_pReal,pReal),xi1st(1:3,i,k,j)))) + scalarField_fourier(i,k,j) = scalarField_fourier(i,k,j)*GreenOp_hat + end do; end do; end do !$OMP END PARALLEL DO end subroutine utilities_fourierGreenConvolution @@ -610,6 +624,7 @@ real(pReal) function utilities_divergenceRMS() integer(MPI_INTEGER_KIND) :: err_MPI complex(pReal), dimension(3) :: rescaledGeom + print'(/,1x,a)', '... calculating divergence ................................................' flush(IO_STDOUT) @@ -618,24 +633,24 @@ real(pReal) function utilities_divergenceRMS() !-------------------------------------------------------------------------------------------------- ! calculating RMS divergence criterion in Fourier space utilities_divergenceRMS = 0.0_pReal - do k = 1, cells3; do j = 1, cells(2) + do j = 1, cells2; do k = 1, cells(3) do i = 2, cells1Red -1 ! Has somewhere a conj. complex counterpart. Therefore count it twice. utilities_divergenceRMS = utilities_divergenceRMS & - + 2.0_pReal*(sum (real(matmul(tensorField_fourier(1:3,1:3,i,j,k), & ! (sqrt(real(a)**2 + aimag(a)**2))**2 = real(a)**2 + aimag(a)**2, i.e. do not take square root and square again - conjg(-xi1st(1:3,i,j,k))*rescaledGeom))**2) & ! --> sum squared L_2 norm of vector - +sum(aimag(matmul(tensorField_fourier(1:3,1:3,i,j,k),& - conjg(-xi1st(1:3,i,j,k))*rescaledGeom))**2)) - enddo + + 2.0_pReal*(sum (real(matmul(tensorField_fourier(1:3,1:3,i,k,j), & ! (sqrt(real(a)**2 + aimag(a)**2))**2 = real(a)**2 + aimag(a)**2, i.e. do not take square root and square again + conjg(-xi1st(1:3,i,k,j))*rescaledGeom))**2) & ! --> sum squared L_2 norm of vector + +sum(aimag(matmul(tensorField_fourier(1:3,1:3,i,k,j),& + conjg(-xi1st(1:3,i,k,j))*rescaledGeom))**2)) + end do utilities_divergenceRMS = utilities_divergenceRMS & ! these two layers (DC and Nyquist) do not have a conjugate complex counterpart (if cells(1) /= 1) - + sum( real(matmul(tensorField_fourier(1:3,1:3,1 ,j,k), & - conjg(-xi1st(1:3,1,j,k))*rescaledGeom))**2) & - + sum(aimag(matmul(tensorField_fourier(1:3,1:3,1 ,j,k), & - conjg(-xi1st(1:3,1,j,k))*rescaledGeom))**2) & - + sum( real(matmul(tensorField_fourier(1:3,1:3,cells1Red,j,k), & - conjg(-xi1st(1:3,cells1Red,j,k))*rescaledGeom))**2) & - + sum(aimag(matmul(tensorField_fourier(1:3,1:3,cells1Red,j,k), & - conjg(-xi1st(1:3,cells1Red,j,k))*rescaledGeom))**2) - enddo; enddo + + sum( real(matmul(tensorField_fourier(1:3,1:3,1 ,k,j), & + conjg(-xi1st(1:3,1,k,j))*rescaledGeom))**2) & + + sum(aimag(matmul(tensorField_fourier(1:3,1:3,1 ,k,j), & + conjg(-xi1st(1:3,1,k,j))*rescaledGeom))**2) & + + sum( real(matmul(tensorField_fourier(1:3,1:3,cells1Red,k,j), & + conjg(-xi1st(1:3,cells1Red,k,j))*rescaledGeom))**2) & + + sum(aimag(matmul(tensorField_fourier(1:3,1:3,cells1Red,k,j), & + conjg(-xi1st(1:3,cells1Red,k,j))*rescaledGeom))**2) + end do; end do if (cells(1) == 1) utilities_divergenceRMS = utilities_divergenceRMS * 0.5_pReal ! counted twice in case of cells(1) == 1 call MPI_Allreduce(MPI_IN_PLACE,utilities_divergenceRMS,1_MPI_INTEGER_KIND,MPI_DOUBLE,MPI_SUM,MPI_COMM_WORLD,err_MPI) if (err_MPI /= 0_MPI_INTEGER_KIND) error stop 'MPI error' @@ -663,40 +678,40 @@ real(pReal) function utilities_curlRMS() ! calculating max curl criterion in Fourier space utilities_curlRMS = 0.0_pReal - do k = 1, cells3; do j = 1, cells(2); + do j = 1, cells2; do k = 1, cells(3); do i = 2, cells1Red - 1 do l = 1, 3 - curl_fourier(l,1) = (+tensorField_fourier(l,3,i,j,k)*xi1st(2,i,j,k)*rescaledGeom(2) & - -tensorField_fourier(l,2,i,j,k)*xi1st(3,i,j,k)*rescaledGeom(3)) - curl_fourier(l,2) = (+tensorField_fourier(l,1,i,j,k)*xi1st(3,i,j,k)*rescaledGeom(3) & - -tensorField_fourier(l,3,i,j,k)*xi1st(1,i,j,k)*rescaledGeom(1)) - curl_fourier(l,3) = (+tensorField_fourier(l,2,i,j,k)*xi1st(1,i,j,k)*rescaledGeom(1) & - -tensorField_fourier(l,1,i,j,k)*xi1st(2,i,j,k)*rescaledGeom(2)) - enddo + curl_fourier(l,1) = (+tensorField_fourier(l,3,i,k,j)*xi1st(2,i,k,j)*rescaledGeom(2) & + -tensorField_fourier(l,2,i,k,j)*xi1st(3,i,k,j)*rescaledGeom(3)) + curl_fourier(l,2) = (+tensorField_fourier(l,1,i,k,j)*xi1st(3,i,k,j)*rescaledGeom(3) & + -tensorField_fourier(l,3,i,k,j)*xi1st(1,i,k,j)*rescaledGeom(1)) + curl_fourier(l,3) = (+tensorField_fourier(l,2,i,k,j)*xi1st(1,i,k,j)*rescaledGeom(1) & + -tensorField_fourier(l,1,i,k,j)*xi1st(2,i,k,j)*rescaledGeom(2)) + end do utilities_curlRMS = utilities_curlRMS & +2.0_pReal*sum(curl_fourier%re**2+curl_fourier%im**2) ! Has somewhere a conj. complex counterpart. Therefore count it twice. - enddo + end do do l = 1, 3 - curl_fourier = (+tensorField_fourier(l,3,1,j,k)*xi1st(2,1,j,k)*rescaledGeom(2) & - -tensorField_fourier(l,2,1,j,k)*xi1st(3,1,j,k)*rescaledGeom(3)) - curl_fourier = (+tensorField_fourier(l,1,1,j,k)*xi1st(3,1,j,k)*rescaledGeom(3) & - -tensorField_fourier(l,3,1,j,k)*xi1st(1,1,j,k)*rescaledGeom(1)) - curl_fourier = (+tensorField_fourier(l,2,1,j,k)*xi1st(1,1,j,k)*rescaledGeom(1) & - -tensorField_fourier(l,1,1,j,k)*xi1st(2,1,j,k)*rescaledGeom(2)) - enddo + curl_fourier = (+tensorField_fourier(l,3,1,k,j)*xi1st(2,1,k,j)*rescaledGeom(2) & + -tensorField_fourier(l,2,1,k,j)*xi1st(3,1,k,j)*rescaledGeom(3)) + curl_fourier = (+tensorField_fourier(l,1,1,k,j)*xi1st(3,1,k,j)*rescaledGeom(3) & + -tensorField_fourier(l,3,1,k,j)*xi1st(1,1,k,j)*rescaledGeom(1)) + curl_fourier = (+tensorField_fourier(l,2,1,k,j)*xi1st(1,1,k,j)*rescaledGeom(1) & + -tensorField_fourier(l,1,1,k,j)*xi1st(2,1,k,j)*rescaledGeom(2)) + end do utilities_curlRMS = utilities_curlRMS & + sum(curl_fourier%re**2 + curl_fourier%im**2) ! this layer (DC) does not have a conjugate complex counterpart (if cells(1) /= 1) do l = 1, 3 - curl_fourier = (+tensorField_fourier(l,3,cells1Red,j,k)*xi1st(2,cells1Red,j,k)*rescaledGeom(2) & - -tensorField_fourier(l,2,cells1Red,j,k)*xi1st(3,cells1Red,j,k)*rescaledGeom(3)) - curl_fourier = (+tensorField_fourier(l,1,cells1Red,j,k)*xi1st(3,cells1Red,j,k)*rescaledGeom(3) & - -tensorField_fourier(l,3,cells1Red,j,k)*xi1st(1,cells1Red,j,k)*rescaledGeom(1)) - curl_fourier = (+tensorField_fourier(l,2,cells1Red,j,k)*xi1st(1,cells1Red,j,k)*rescaledGeom(1) & - -tensorField_fourier(l,1,cells1Red,j,k)*xi1st(2,cells1Red,j,k)*rescaledGeom(2)) - enddo + curl_fourier = (+tensorField_fourier(l,3,cells1Red,k,j)*xi1st(2,cells1Red,k,j)*rescaledGeom(2) & + -tensorField_fourier(l,2,cells1Red,k,j)*xi1st(3,cells1Red,k,j)*rescaledGeom(3)) + curl_fourier = (+tensorField_fourier(l,1,cells1Red,k,j)*xi1st(3,cells1Red,k,j)*rescaledGeom(3) & + -tensorField_fourier(l,3,cells1Red,k,j)*xi1st(1,cells1Red,k,j)*rescaledGeom(1)) + curl_fourier = (+tensorField_fourier(l,2,cells1Red,k,j)*xi1st(1,cells1Red,k,j)*rescaledGeom(1) & + -tensorField_fourier(l,1,cells1Red,k,j)*xi1st(2,cells1Red,k,j)*rescaledGeom(2)) + end do utilities_curlRMS = utilities_curlRMS & + sum(curl_fourier%re**2 + curl_fourier%im**2) ! this layer (Nyquist) does not have a conjugate complex counterpart (if cells(1) /= 1) - enddo; enddo + end do; end do call MPI_Allreduce(MPI_IN_PLACE,utilities_curlRMS,1_MPI_INTEGER_KIND,MPI_DOUBLE,MPI_SUM,MPI_COMM_WORLD,err_MPI) if (err_MPI /= 0_MPI_INTEGER_KIND) error stop 'MPI error' @@ -738,11 +753,11 @@ function utilities_maskedCompliance(rot_BC,mask_stress,C) print'(/,1x,a,/,8(9(2x,f12.7,1x)/),9(2x,f12.7,1x))', & 'Stiffness C (load) / GPa =', transpose(temp99_Real)*1.0e-9_pReal flush(IO_STDOUT) - endif + end if do i = 1,9; do j = 1,9 mask(i,j) = mask_stressVector(i) .and. mask_stressVector(j) - enddo; enddo + end do; end do c_reduced = reshape(pack(temp99_Real,mask),[size_reduced,size_reduced]) allocate(s_reduced,mold = c_reduced) @@ -759,11 +774,11 @@ function utilities_maskedCompliance(rot_BC,mask_stress,C) print trim(formatString), 'C * S (load) ', transpose(matmul(c_reduced,s_reduced)) print trim(formatString), 'S (load) ', transpose(s_reduced) if (errmatinv) error stop 'matrix inversion error' - endif + end if temp99_real = reshape(unpack(reshape(s_reduced,[size_reduced**2]),reshape(mask,[81]),0.0_pReal),[9,9]) else temp99_real = 0.0_pReal - endif + end if utilities_maskedCompliance = math_99to3333(temp99_Real) @@ -771,7 +786,7 @@ function utilities_maskedCompliance(rot_BC,mask_stress,C) print'(/,1x,a,/,9(9(2x,f10.5,1x)/),9(2x,f10.5,1x))', & 'Masked Compliance (load) * GPa =', transpose(temp99_Real)*1.0e9_pReal flush(IO_STDOUT) - endif + end if end function utilities_maskedCompliance @@ -784,8 +799,8 @@ subroutine utilities_fourierScalarGradient() integer :: i, j, k - do k = 1, cells3; do j = 1, cells(2); do i = 1,cells1Red - vectorField_fourier(1:3,i,j,k) = scalarField_fourier(i,j,k)*xi1st(1:3,i,j,k) ! ToDo: no -conjg? + do j = 1, cells2; do k = 1, cells(3); do i = 1,cells1Red + vectorField_fourier(1:3,i,k,j) = scalarField_fourier(i,k,j)*xi1st(1:3,i,k,j) ! ToDo: no -conjg? end do; end do; end do end subroutine utilities_fourierScalarGradient @@ -796,8 +811,7 @@ end subroutine utilities_fourierScalarGradient !-------------------------------------------------------------------------------------------------- subroutine utilities_fourierVectorDivergence() - - scalarField_fourier(1:cells1Red,1:cells(2),1:cells3) = sum(vectorField_fourier(1:3,1:cells1Red,1:cells(2),1:cells3) & + scalarField_fourier(1:cells1Red,1:cells(3),1:cells2) = sum(vectorField_fourier(1:3,1:cells1Red,1:cells(3),1:cells2) & *conjg(-xi1st),1) end subroutine utilities_fourierVectorDivergence @@ -810,10 +824,9 @@ subroutine utilities_fourierVectorGradient() integer :: i, j, k, m, n - - do k = 1, cells3; do j = 1, cells(2); do i = 1,cells1Red + do j = 1, cells2; do k = 1, cells(3); do i = 1,cells1Red do m = 1, 3; do n = 1, 3 - tensorField_fourier(m,n,i,j,k) = vectorField_fourier(m,i,j,k)*xi1st(n,i,j,k) + tensorField_fourier(m,n,i,k,j) = vectorField_fourier(m,i,k,j)*xi1st(n,i,k,j) end do; end do end do; end do; end do @@ -827,9 +840,8 @@ subroutine utilities_fourierTensorDivergence() integer :: i, j, k - - do k = 1, cells3; do j = 1, cells(2); do i = 1,cells1Red - vectorField_fourier(:,i,j,k) = matmul(tensorField_fourier(:,:,i,j,k),conjg(-xi1st(:,i,j,k))) + do j = 1, cells2; do k = 1, cells(3); do i = 1,cells1Red + vectorField_fourier(:,i,k,j) = matmul(tensorField_fourier(:,:,i,k,j),conjg(-xi1st(:,i,k,j))) end do; end do; end do end subroutine utilities_fourierTensorDivergence @@ -885,12 +897,12 @@ subroutine utilities_constitutiveResponse(P,P_av,C_volAvg,C_minmaxAvg,& if (dPdF_norm_max < sum(homogenization_dPdF(1:3,1:3,1:3,1:3,i)**2)) then dPdF_max = homogenization_dPdF(1:3,1:3,1:3,1:3,i) dPdF_norm_max = sum(homogenization_dPdF(1:3,1:3,1:3,1:3,i)**2) - endif + end if if (dPdF_norm_min > sum(homogenization_dPdF(1:3,1:3,1:3,1:3,i)**2)) then dPdF_min = homogenization_dPdF(1:3,1:3,1:3,1:3,i) dPdF_norm_min = sum(homogenization_dPdF(1:3,1:3,1:3,1:3,i)**2) - endif - enddo + end if + end do valueAndRank = [dPdF_norm_max,real(worldrank,pReal)] call MPI_Allreduce(MPI_IN_PLACE,valueAndRank,1_MPI_INTEGER_KIND,MPI_2DOUBLE_PRECISION,MPI_MAXLOC,MPI_COMM_WORLD,err_MPI) @@ -953,20 +965,22 @@ function utilities_forwardField(Delta_t,field_lastInc,rate,aim) rate !< rate by which to forward real(pReal), intent(in), optional, dimension(3,3) :: & aim !< average field value aim + real(pReal), dimension(3,3,cells(1),cells(2),cells3) :: & utilities_forwardField - real(pReal), dimension(3,3) :: fieldDiff !< - aim + real(pReal), dimension(3,3) :: fieldDiff !< - aim integer(MPI_INTEGER_KIND) :: err_MPI + utilities_forwardField = field_lastInc + rate*Delta_t if (present(aim)) then !< correct to match average fieldDiff = sum(sum(sum(utilities_forwardField,dim=5),dim=4),dim=3)*wgt call MPI_Allreduce(MPI_IN_PLACE,fieldDiff,9_MPI_INTEGER_KIND,MPI_DOUBLE,MPI_SUM,MPI_COMM_WORLD,err_MPI) if (err_MPI /= 0_MPI_INTEGER_KIND) error stop 'MPI error' fieldDiff = fieldDiff - aim - utilities_forwardField = utilities_forwardField - & - spread(spread(spread(fieldDiff,3,cells(1)),4,cells(2)),5,cells3) - endif + utilities_forwardField = utilities_forwardField & + - spread(spread(spread(fieldDiff,3,cells(1)),4,cells(2)),5,cells3) + end if end function utilities_forwardField @@ -979,8 +993,10 @@ end function utilities_forwardField pure function utilities_getFreqDerivative(k_s) integer, intent(in), dimension(3) :: k_s !< indices of frequency + complex(pReal), dimension(3) :: utilities_getFreqDerivative + select case (spectral_derivative_ID) case (DERIVATIVE_CONTINUOUS_ID) utilities_getFreqDerivative = cmplx(0.0_pReal, TAU*real(k_s,pReal)/geomSize,pReal) @@ -1066,12 +1082,12 @@ subroutine utilities_updateCoords(F) call utilities_FFTtensorForward() !$OMP PARALLEL DO - do k = 1, cells3; do j = 1, cells(2); do i = 1, cells1Red - if (any([i,j,k+cells3Offset] /= 1)) then - vectorField_fourier(1:3,i,j,k) = matmul(tensorField_fourier(1:3,1:3,i,j,k),xi2nd(1:3,i,j,k)) & - / sum(conjg(-xi2nd(1:3,i,j,k))*xi2nd(1:3,i,j,k)) * cmplx(wgt,0.0,pReal) + do j = 1, cells2; do k = 1, cells(3); do i = 1, cells1Red + if (any([i,j+cells2Offset,k] /= 1)) then + vectorField_fourier(1:3,i,k,j) = matmul(tensorField_fourier(1:3,1:3,i,k,j),xi2nd(1:3,i,k,j)) & + / sum(conjg(-xi2nd(1:3,i,k,j))*xi2nd(1:3,i,k,j)) * cmplx(wgt,0.0,pReal) else - vectorField_fourier(1:3,i,j,k) = cmplx(0.0,0.0,pReal) + vectorField_fourier(1:3,i,k,j) = cmplx(0.0,0.0,pReal) end if end do; end do; end do !$OMP END PARALLEL DO @@ -1080,7 +1096,7 @@ subroutine utilities_updateCoords(F) !-------------------------------------------------------------------------------------------------- ! average F - if (cells3Offset == 0) Favg = real(tensorField_fourier(1:3,1:3,1,1,1),pReal)*wgt + if (cells3Offset == 0) Favg = tensorField_fourier(1:3,1:3,1,1,1)%re*wgt call MPI_Bcast(Favg,9_MPI_INTEGER_KIND,MPI_DOUBLE,0_MPI_INTEGER_KIND,MPI_COMM_WORLD,err_MPI) if (err_MPI /= 0_MPI_INTEGER_KIND) error stop 'MPI error' @@ -1114,21 +1130,21 @@ subroutine utilities_updateCoords(F) !-------------------------------------------------------------------------------------------------- ! calculate nodal displacements nodeCoords = 0.0_pReal - do k = 0,cells3; do j = 0,cells(2); do i = 0,cells(1) + do j = 0,cells(2); do k = 0,cells3; do i = 0,cells(1) nodeCoords(1:3,i+1,j+1,k+1) = matmul(Favg,step*(real([i,j,k+cells3Offset],pReal))) averageFluct: do n = 1,8 me = [i+neighbor(1,n),j+neighbor(2,n),k+neighbor(3,n)] nodeCoords(1:3,i+1,j+1,k+1) = nodeCoords(1:3,i+1,j+1,k+1) & + IPfluct_padded(1:3,modulo(me(1)-1,cells(1))+1,modulo(me(2)-1,cells(2))+1,me(3)+1)*0.125_pReal - enddo averageFluct - enddo; enddo; enddo + end do averageFluct + end do; end do; end do !-------------------------------------------------------------------------------------------------- ! calculate cell center displacements do k = 1,cells3; do j = 1,cells(2); do i = 1,cells(1) IPcoords(1:3,i,j,k) = vectorField_real(1:3,i,j,k) & + matmul(Favg,step*(real([i,j,k+cells3Offset],pReal)-0.5_pReal)) - enddo; enddo; enddo + end do; end do; end do call discretization_setNodeCoords(reshape(NodeCoords,[3,(cells(1)+1)*(cells(2)+1)*(cells3+1)])) call discretization_setIPcoords (reshape(IPcoords, [3,cells(1)*cells(2)*cells3])) @@ -1144,6 +1160,7 @@ subroutine utilities_saveReferenceStiffness integer :: & fileUnit,ierr + if (worldrank == 0) then print'(/,1x,a)', '... writing reference stiffness data required for restart to file .........'; flush(IO_STDOUT) open(newunit=fileUnit, file=getSolverJobName()//'.C_ref',& @@ -1151,7 +1168,7 @@ subroutine utilities_saveReferenceStiffness if (ierr /=0) call IO_error(100,ext_msg='could not open file '//getSolverJobName()//'.C_ref') write(fileUnit) C_ref close(fileUnit) - endif + end if end subroutine utilities_saveReferenceStiffness @@ -1170,6 +1187,10 @@ subroutine selfTest() tensorField_real(1:3,1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal tensorField_real_ = tensorField_real call utilities_FFTtensorForward() + if (worldsize==1) then + if (any(dNeq(sum(sum(sum(tensorField_real_,dim=5),dim=4),dim=3)/tensorField_fourier(:,:,1,1,1)%re,1.0_pReal,1.0e-12_pReal))) & + error stop 'tensorField avg' + endif call utilities_FFTtensorBackward() tensorField_real(1:3,1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal if (maxval(abs(tensorField_real_ - tensorField_real))>5.0e-15_pReal) error stop 'tensorField' @@ -1178,6 +1199,10 @@ subroutine selfTest() vectorField_real(1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal vectorField_real_ = vectorField_real call utilities_FFTvectorForward() + if (worldsize==1) then + if (any(dNeq(sum(sum(sum(vectorField_real_,dim=4),dim=3),dim=2)/vectorField_fourier(:,1,1,1)%re,1.0_pReal,1.0e-12_pReal))) & + error stop 'vector avg' + endif call utilities_FFTvectorBackward() vectorField_real(1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal if (maxval(abs(vectorField_real_ - vectorField_real))>5.0e-15_pReal) error stop 'vectorField' @@ -1186,6 +1211,10 @@ subroutine selfTest() scalarField_real(cells(1)+1:cells1Red*2,:,:) = 0.0_pReal scalarField_real_ = scalarField_real call utilities_FFTscalarForward() + if (worldsize==1) then + if (dNeq(sum(sum(sum(scalarField_real_,dim=3),dim=2),dim=1)/scalarField_fourier(1,1,1)%re,1.0_pReal,1.0e-12_pReal)) & + error stop 'scalar avg' + endif call utilities_FFTscalarBackward() scalarField_real(cells(1)+1:cells1Red*2,:,:) = 0.0_pReal if (maxval(abs(scalarField_real_ - scalarField_real))>5.0e-15_pReal) error stop 'scalarField'