diff options
author | rhaas <rhaas@c83d129a-5a75-4d5a-9c4d-ed3a5855bf45> | 2013-01-14 14:23:54 +0000 |
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committer | rhaas <rhaas@c83d129a-5a75-4d5a-9c4d-ed3a5855bf45> | 2013-01-14 14:23:54 +0000 |
commit | edd29410b28310f5548e6628ad1775bc367b3cc5 (patch) | |
tree | 13b2638a07ded1d65d2b8f5c292d26db4e7a0eab /src/GRHydro_WENOReconstruct.F90 | |
parent | dc0703d41a96d3c031fc6acf9f353ae3ebf1596d (diff) |
GRHydro: Improved WENO implementation: (i) Pick adaptive epsilon-parameter according to WHAM code paper, (ii) Catch epsilon<0 for non-microphysical EOS. Tested with shock tube and TOV.
From: Christian Reisswig <reisswig@scriwalker.(none)>
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinEvolve/GRHydro/trunk@466 c83d129a-5a75-4d5a-9c4d-ed3a5855bf45
Diffstat (limited to 'src/GRHydro_WENOReconstruct.F90')
-rw-r--r-- | src/GRHydro_WENOReconstruct.F90 | 58 |
1 files changed, 39 insertions, 19 deletions
diff --git a/src/GRHydro_WENOReconstruct.F90 b/src/GRHydro_WENOReconstruct.F90 index e7273a0..fb03f66 100644 --- a/src/GRHydro_WENOReconstruct.F90 +++ b/src/GRHydro_WENOReconstruct.F90 @@ -158,14 +158,15 @@ subroutine GRHydro_WENOReconstruct1d(order, nx, v, vminus, vplus, trivial_rp, & CCTK_INT :: order, nx, i, j, k, r CCTK_REAL, dimension(nx) :: v, vplus, vminus - CCTK_REAL, dimension(order, 1-order:nx+order) :: vdiff CCTK_INT, dimension(nx) :: hydro_excision_mask logical, dimension(nx) :: trivial_rp logical, dimension(nx) :: excise logical :: normal_weno - CCTK_REAL :: large = 1.d10, gamma1, gamma2, gamma3, beta1, beta2, beta3, w1, w2, w3, wbar1, wbar2, wbar3 + CCTK_REAL :: large = 1.d10, gamma1, gamma2, gamma3, beta1, beta2, beta3, vnorm, betanorm + CCTK_REAL :: wplus1, wplus2, wplus3, wbarplus1, wbarplus2, wbarplus3 + CCTK_REAL :: wminus1, wminus2, wminus3, wbarminus1, wbarminus2, wbarminus3 vminus = 0.d0 vplus = 0.d0 @@ -173,12 +174,9 @@ subroutine GRHydro_WENOReconstruct1d(order, nx, v, vminus, vplus, trivial_rp, & excise = .false. trivial_rp = .false. - - !!$ Initialize excision do i = 1, nx if (GRHydro_enable_internal_excision /= 0 .and. (hydro_excision_mask(i) .ne. 0)) then - vdiff(1, i) = large * (-1.d0*(1.d0+mod(i,10)))**i trivial_rp(i) = .true. excise(i) = .true. if (i > 1) then @@ -208,6 +206,7 @@ subroutine GRHydro_WENOReconstruct1d(order, nx, v, vminus, vplus, trivial_rp, & if (normal_weno) then !!$ Compute smoothness indicators +!!$ This is from Tchekhovskoy et al 2007 (WHAM code paper). beta1 = beta_shu(1,1)*v(i-2)**2 & + beta_shu(1,2)*v(i-2)*v(i-1) & + beta_shu(1,3)*v(i-1)**2 & @@ -230,25 +229,46 @@ subroutine GRHydro_WENOReconstruct1d(order, nx, v, vminus, vplus, trivial_rp, & + beta_shu(3,6)*v(i+2)**2 - wbar1 = 1.0d0/16.d0 / (weno_eps + beta1)**2 - wbar2 = 5.0d0/8.d0 / (weno_eps + beta2)**2 - wbar3 = 5.0d0/16.d0 / (weno_eps + beta3)**2 + vnorm = (v(i-2)**2 + v(i-1)**2 + v(i)**2 + v(i+1)**2 + v(i+2)**2) + + beta1 = beta1 + 100.0d0*weno_eps*(vnorm + 1.0d0) + beta2 = beta2 + 100.0d0*weno_eps*(vnorm + 1.0d0) + beta3 = beta3 + 100.0d0*weno_eps*(vnorm + 1.0d0) + + betanorm = beta1 + beta2 + beta3 + + beta1 = beta1 / betanorm + beta2 = beta2 / betanorm + beta3 = beta3 / betanorm + + wbarplus1 = 1.0d0/16.0d0 / (weno_eps + beta1)**2 + wbarplus2 = 5.0d0/8.0d0 / (weno_eps + beta2)**2 + wbarplus3 = 5.0d0/16.0d0 / (weno_eps + beta3)**2 - w1 = wbar1 / (wbar1 + wbar2 + wbar3) - w2 = wbar2 / (wbar1 + wbar2 + wbar3) - w3 = wbar3 / (wbar1 + wbar2 + wbar3) + wplus1 = wbarplus1 / (wbarplus1 + wbarplus2 + wbarplus3) + wplus2 = wbarplus2 / (wbarplus1 + wbarplus2 + wbarplus3) + wplus3 = wbarplus3 / (wbarplus1 + wbarplus2 + wbarplus3) + + wbarminus1 = 5.0d0/16.0d0 / (weno_eps + beta1)**2 + wbarminus2 = 5.0d0/8.0d0 / (weno_eps + beta2)**2 + wbarminus3 = 1.0d0/16.0d0 / (weno_eps + beta3)**2 + wminus1 = wbarminus1 / (wbarminus1 + wbarminus2 + wbarminus3) + wminus2 = wbarminus2 / (wbarminus1 + wbarminus2 + wbarminus3) + wminus3 = wbarminus3 / (wbarminus1 + wbarminus2 + wbarminus3) + !!$ Calculate the reconstruction do j = 1, 5 - vplus(i) = vplus(i) + w1 * weno_coeffs(1,j)*v(i-3+j) & - + w2 * weno_coeffs(2,j)*v(i-3+j) & - + w3 * weno_coeffs(3,j)*v(i-3+j) - vminus(i) = vminus(i) + w1 * weno_coeffs(3,6-j)*v(i-3+j) & - + w2 * weno_coeffs(2,6-j)*v(i-3+j) & - + w3 * weno_coeffs(1,6-j)*v(i-3+j) - + vplus(i) = vplus(i) + wplus1 * weno_coeffs(1,j)*v(i-3+j) & + + wplus2 * weno_coeffs(2,j)*v(i-3+j) & + + wplus3 * weno_coeffs(3,j)*v(i-3+j) + vminus(i) = vminus(i) + wminus1 * weno_coeffs(3,6-j)*v(i-3+j) & + + wminus2 * weno_coeffs(2,6-j)*v(i-3+j) & + + wminus3 * weno_coeffs(1,6-j)*v(i-3+j) end do - + !vminus(i) = v(i) + !vplus(i) = v(i) + end if end do |