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curl calculation overestimated RMS due to factor 2 instead of one for DC component and Nyquist component

This commit is contained in:
Martin Diehl 2015-09-11 09:19:13 +00:00
parent e88cedc6ae
commit 8f32d03a9e
1 changed files with 32 additions and 31 deletions
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63
code/DAMASK_spectral_utilities.f90
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@ -730,42 +730,43 @@ real(pReal) function utilities_curlRMS()
utilities_curlRMS = 0.0_pReal utilities_curlRMS = 0.0_pReal
do k = 1_pInt, grid3; do j = 1_pInt, grid(2); do k = 1_pInt, grid3; do j = 1_pInt, grid(2);
do i = 2_pInt, grid1Red - 1_pInt do i = 2_pInt, grid1Red - 1_pInt
do l = 1_pInt, 3_pInt do l = 1_pInt, 3_pInt
curl_fourier(l,1) = (+tensorField_fourier(l,3,i,j,k)*xi(2,i,j,k)& curl_fourier(l,1) = (+tensorField_fourier(l,3,i,j,k)*xi(2,i,j,k)&
-tensorField_fourier(l,2,i,j,k)*xi(3,i,j,k))*TWOPIIMG -tensorField_fourier(l,2,i,j,k)*xi(3,i,j,k))*TWOPIIMG
curl_fourier(l,2) = (+tensorField_fourier(l,1,i,j,k)*xi(3,i,j,k)& curl_fourier(l,2) = (+tensorField_fourier(l,1,i,j,k)*xi(3,i,j,k)&
-tensorField_fourier(l,3,i,j,k)*xi(1,i,j,k))*TWOPIIMG -tensorField_fourier(l,3,i,j,k)*xi(1,i,j,k))*TWOPIIMG
curl_fourier(l,3) = (+tensorField_fourier(l,2,i,j,k)*xi(1,i,j,k)& curl_fourier(l,3) = (+tensorField_fourier(l,2,i,j,k)*xi(1,i,j,k)&
-tensorField_fourier(l,1,i,j,k)*xi(2,i,j,k))*TWOPIIMG -tensorField_fourier(l,1,i,j,k)*xi(2,i,j,k))*TWOPIIMG
enddo
utilities_curlRMS = utilities_curlRMS + &
2.0_pReal*sum(real(curl_fourier)**2.0_pReal + aimag(curl_fourier)**2.0_pReal)! Has somewhere a conj. complex counterpart. Therefore count it twice.
enddo
do l = 1_pInt, 3_pInt
curl_fourier = (+tensorField_fourier(l,3,1,j,k)*xi(2,1,j,k)&
-tensorField_fourier(l,2,1,j,k)*xi(3,1,j,k))*TWOPIIMG
curl_fourier = (+tensorField_fourier(l,1,1,j,k)*xi(3,1,j,k)&
-tensorField_fourier(l,3,1,j,k)*xi(1,1,j,k))*TWOPIIMG
curl_fourier = (+tensorField_fourier(l,2,1,j,k)*xi(1,1,j,k)&
-tensorField_fourier(l,1,1,j,k)*xi(2,1,j,k))*TWOPIIMG
enddo enddo
utilities_curlRMS = utilities_curlRMS + & utilities_curlRMS = utilities_curlRMS + &
2.0_pReal*sum(real(curl_fourier)**2.0_pReal + aimag(curl_fourier)**2.0_pReal) sum(real(curl_fourier)**2.0_pReal + aimag(curl_fourier)**2.0_pReal)! this layer (DC) does not have a conjugate complex counterpart (if grid(1) /= 1)
enddo do l = 1_pInt, 3_pInt
do l = 1_pInt, 3_pInt curl_fourier = (+tensorField_fourier(l,3,grid1Red,j,k)*xi(2,grid1Red,j,k)&
curl_fourier = (+tensorField_fourier(l,3,1,j,k)*xi(2,1,j,k)& -tensorField_fourier(l,2,grid1Red,j,k)*xi(3,grid1Red,j,k))*TWOPIIMG
-tensorField_fourier(l,2,1,j,k)*xi(3,1,j,k))*TWOPIIMG curl_fourier = (+tensorField_fourier(l,1,grid1Red,j,k)*xi(3,grid1Red,j,k)&
curl_fourier = (+tensorField_fourier(l,1,1,j,k)*xi(3,1,j,k)& -tensorField_fourier(l,3,grid1Red,j,k)*xi(1,grid1Red,j,k))*TWOPIIMG
-tensorField_fourier(l,3,1,j,k)*xi(1,1,j,k))*TWOPIIMG curl_fourier = (+tensorField_fourier(l,2,grid1Red,j,k)*xi(1,grid1Red,j,k)&
curl_fourier = (+tensorField_fourier(l,2,1,j,k)*xi(1,1,j,k)& -tensorField_fourier(l,1,grid1Red,j,k)*xi(2,grid1Red,j,k))*TWOPIIMG
-tensorField_fourier(l,1,1,j,k)*xi(2,1,j,k))*TWOPIIMG enddo
enddo utilities_curlRMS = utilities_curlRMS + &
utilities_curlRMS = utilities_curlRMS + & sum(real(curl_fourier)**2.0_pReal + aimag(curl_fourier)**2.0_pReal)! this layer (Nyquist) does not have a conjugate complex counterpart (if grid(1) /= 1)
2.0_pReal*sum(real(curl_fourier)**2.0_pReal + aimag(curl_fourier)**2.0_pReal)
do l = 1_pInt, 3_pInt
curl_fourier = (+tensorField_fourier(l,3,grid1Red,j,k)*xi(2,grid1Red,j,k)&
-tensorField_fourier(l,2,grid1Red,j,k)*xi(3,grid1Red,j,k))*TWOPIIMG
curl_fourier = (+tensorField_fourier(l,1,grid1Red,j,k)*xi(3,grid1Red,j,k)&
-tensorField_fourier(l,3,grid1Red,j,k)*xi(1,grid1Red,j,k))*TWOPIIMG
curl_fourier = (+tensorField_fourier(l,2,grid1Red,j,k)*xi(1,grid1Red,j,k)&
-tensorField_fourier(l,1,grid1Red,j,k)*xi(2,grid1Red,j,k))*TWOPIIMG
enddo
utilities_curlRMS = utilities_curlRMS + &
2.0_pReal*sum(real(curl_fourier)**2.0_pReal + aimag(curl_fourier)**2.0_pReal)
enddo; enddo enddo; enddo
call MPI_Allreduce(MPI_IN_PLACE,utilities_curlRMS,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,utilities_curlRMS,1,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr)
utilities_curlRMS = sqrt(utilities_curlRMS) * wgt utilities_curlRMS = sqrt(utilities_curlRMS) * wgt
if(grid(1) == 1_pInt) utilities_curlRMS = utilities_curlRMS * 0.5_pReal ! counted twice in case of grid(1) == 1 if(grid(1) == 1_pInt) utilities_curlRMS = utilities_curlRMS * 0.5_pReal ! counted twice in case of grid(1) == 1
end function utilities_curlRMS end function utilities_curlRMS