@@ -283,6 +283,7 @@ contains
283283 type(scalar_field), &
284284 dimension (sys_size), &
285285 intent (inout ) :: flux_vf, flux_src_vf, flux_gsrc_vf
286+ real (wp) :: flux_tau_L, flux_tau_R
286287
287288 integer , intent (in ) :: norm_dir
288289 type(int_bounds_info), intent (in ) :: ix, iy, iz
@@ -755,12 +756,12 @@ contains
755756 ! = rho * v_i * v_${XYZ}$ - B_i * B_${XYZ}$ + delta_(${XYZ}$,i) * p_tot
756757 flux_rs${XYZ}$_vf(j, k, l, contxe + i) = &
757758 (s_M* (rho_R* vel_R(i)* vel_R(norm_dir) &
758- - B%R(i)* B%R(norm_dir) &
759- + dir_flg(i)* (pres_R + pres_mag%R)) &
760- - s_P* (rho_L* vel_L(i)* vel_L(norm_dir) &
759+ - B%R(i)* B%R(norm_dir) &
760+ + dir_flg(i)* (pres_R + pres_mag%R)) &
761+ - s_P* (rho_L* vel_L(i)* vel_L(norm_dir) &
761762 - B%L(i)* B%L(norm_dir) &
762763 + dir_flg(i)* (pres_L + pres_mag%L)) &
763- + s_M* s_P* (rho_L* vel_L(i) - rho_R* vel_R(i))) &
764+ + s_M* s_P* (rho_L* vel_L(i) - rho_R* vel_R(i))) &
764765 / (s_M - s_P)
765766 end do
766767 elseif (mhd .and. relativity) then
@@ -770,14 +771,14 @@ contains
770771 ! = m_i * v_${XYZ}$ - b_i/ Gamma * B_${XYZ}$ + delta_(${XYZ}$,i) * p_tot
771772 flux_rs${XYZ}$_vf(j, k, l, contxe + i) = &
772773 (s_M* (cm%R(i)* vel_R(norm_dir) &
773- - b4%R(i)/ Ga%R* B%R(norm_dir) &
774- + dir_flg(i)* (pres_R + pres_mag%R)) &
775- - s_P* (cm%L(i)* vel_L(norm_dir) &
774+ - b4%R(i)/ Ga%R* B%R(norm_dir) &
775+ + dir_flg(i)* (pres_R + pres_mag%R)) &
776+ - s_P* (cm%L(i)* vel_L(norm_dir) &
776777 - b4%L(i)/ Ga%L* B%L(norm_dir) &
777778 + dir_flg(i)* (pres_L + pres_mag%L)) &
778- + s_M* s_P* (cm%L(i) - cm%R(i))) &
779+ + s_M* s_P* (cm%L(i) - cm%R(i))) &
779780 / (s_M - s_P)
780- end do
781+ end do
781782 elseif (bubbles_euler) then
782783 !$acc loop seq
783784 do i = 1 , num_vels
@@ -958,7 +959,7 @@ contains
958959 ! B_y d/ d${XYZ}$ flux = (1 - delta(y,${XYZ}$)) * (v_${XYZ}$ * B_y - v_y * B_${XYZ}$)
959960 ! B_z d/ d${XYZ}$ flux = (1 - delta(z,${XYZ}$)) * (v_${XYZ}$ * B_z - v_z * B_${XYZ}$)
960961 !$acc loop seq
961- do i = 0 ,2
962+ do i = 0 , 2
962963 flux_rs${XYZ}$_vf(j, k, l, B_idx%beg + i) = (1 - dir_flg(i + 1 ))* ( &
963964 s_M* (vel_R(dir_idx(1 ))* B%R(i + 1 ) - vel_R(i + 1 )* B%R(norm_dir)) - &
964965 s_P* (vel_L(dir_idx(1 ))* B%L(i + 1 ) - vel_L(i + 1 )* B%L(norm_dir)) + &
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