Function for computing the advective tendency for the momentum equations when using constant dz with no EB and no terrain-fitted coordinates.
58 AMREX_ALWAYS_ASSERT(bxz.smallEnd(2) > 0);
60 auto dxInv = cellSizeInv[0];
auto dyInv = cellSizeInv[1];
63 Box box2d_u(bxx); box2d_u.setRange(2,0); box2d_u.grow({3,3,0});
64 Box box2d_v(bxy); box2d_v.setRange(2,0); box2d_v.grow({3,3,0});
66 FArrayBox mf_ux_invFAB(box2d_u,1,The_Async_Arena());
67 FArrayBox mf_uy_invFAB(box2d_u,1,The_Async_Arena());
68 const Array4<Real>& mf_ux_inv = mf_ux_invFAB.array();
69 const Array4<Real>& mf_uy_inv = mf_uy_invFAB.array();
71 FArrayBox mf_vx_invFAB(box2d_v,1,The_Async_Arena());
72 FArrayBox mf_vy_invFAB(box2d_v,1,The_Async_Arena());
73 const Array4<Real>& mf_vx_inv = mf_vx_invFAB.array();
74 const Array4<Real>& mf_vy_inv = mf_vy_invFAB.array();
76 ParallelFor(box2d_u, box2d_v,
77 [=] AMREX_GPU_DEVICE (
int i,
int j,
int) noexcept
79 mf_ux_inv(i,j,0) = 1. / mf_ux(i,j,0);
80 mf_uy_inv(i,j,0) = 1. / mf_uy(i,j,0);
82 [=] AMREX_GPU_DEVICE (
int i,
int j,
int) noexcept
84 mf_vx_inv(i,j,0) = 1. / mf_vx(i,j,0);
85 mf_vy_inv(i,j,0) = 1. / mf_vy(i,j,0);
88 auto dz_ptr = stretched_dz_d.data();
93 ParallelFor(bxx, bxy, bxz,
94 [=] AMREX_GPU_DEVICE (
int i,
int j,
int k) noexcept
96 Real xflux_hi = 0.25 * (rho_u(i, j , k) * mf_uy_inv(i,j,0) + rho_u(i+1, j , k) * mf_uy_inv(i+1,j,0)) * (u(i+1,j,k) + u(i,j,k));
97 Real xflux_lo = 0.25 * (rho_u(i, j , k) * mf_uy_inv(i,j,0) + rho_u(i-1, j , k) * mf_uy_inv(i-1,j,0)) * (u(i-1,j,k) + u(i,j,k));
99 Real yflux_hi = 0.25 * (rho_v(i, j+1, k) * mf_vx_inv(i,j+1,0) + rho_v(i-1, j+1, k) * mf_vx_inv(i-1,j+1,0)) * (u(i,j+1,k) + u(i,j,k));
100 Real yflux_lo = 0.25 * (rho_v(i, j , k) * mf_vx_inv(i,j ,0) + rho_v(i-1, j , k) * mf_vx_inv(i-1,j ,0)) * (u(i,j-1,k) + u(i,j,k));
102 Real zflux_hi = 0.25 * (
omega(i, j, k+1) +
omega(i-1, j, k+1)) * (u(i,j,k+1) + u(i,j,k));
103 Real zflux_lo = 0.25 * (
omega(i, j, k ) +
omega(i-1, j, k )) * (u(i,j,k-1) + u(i,j,k));
105 Real mfsq = mf_ux(i,j,0) * mf_uy(i,j,0);
107 Real dzInv = 1.0/dz_ptr[k];
109 Real advectionSrc = (xflux_hi - xflux_lo) * dxInv * mfsq
110 + (yflux_hi - yflux_lo) * dyInv * mfsq
111 + (zflux_hi - zflux_lo) * dzInv;
112 rho_u_rhs(i, j, k) = -advectionSrc;
114 [=] AMREX_GPU_DEVICE (
int i,
int j,
int k) noexcept
116 Real xflux_hi = 0.25 * (rho_u(i+1, j, k) * mf_uy_inv(i+1,j,0) + rho_u(i+1, j-1, k) * mf_uy_inv(i+1,j-1,0)) * (v(i+1,j,k) + v(i,j,k));
117 Real xflux_lo = 0.25 * (rho_u(i , j, k) * mf_uy_inv(i ,j,0) + rho_u(i , j-1, k) * mf_uy_inv(i ,j-1,0)) * (v(i-1,j,k) + v(i,j,k));
119 Real yflux_hi = 0.25 * (rho_v(i ,j+1,k) * mf_vx_inv(i,j+1,0) + rho_v(i ,j ,k) * mf_vx_inv(i,j ,0)) * (v(i,j+1,k) + v(i,j,k));
120 Real yflux_lo = 0.25 * (rho_v(i ,j ,k) * mf_vx_inv(i,j ,0) + rho_v(i ,j-1,k) * mf_vx_inv(i,j-1,0)) * (v(i,j-1,k) + v(i,j,k));
122 Real zflux_hi = 0.25 * (
omega(i, j, k+1) +
omega(i, j-1, k+1)) * (v(i,j,k+1) + v(i,j,k));
123 Real zflux_lo = 0.25 * (
omega(i, j, k ) +
omega(i, j-1, k )) * (v(i,j,k-1) + v(i,j,k));
125 Real mfsq = mf_vx(i,j,0) * mf_vy(i,j,0);
127 Real dzInv = 1.0/dz_ptr[k];
129 Real advectionSrc = (xflux_hi - xflux_lo) * dxInv * mfsq
130 + (yflux_hi - yflux_lo) * dyInv * mfsq
131 + (zflux_hi - zflux_lo) * dzInv;
132 rho_v_rhs(i, j, k) = -advectionSrc;
134 [=] AMREX_GPU_DEVICE (
int i,
int j,
int k) noexcept
136 Real xflux_hi = 0.25*(rho_u(i+1,j ,k) + rho_u(i+1, j, k-1)) * mf_uy_inv(i+1,j ,0) * (w(i+1,j,k) + w(i,j,k));
137 Real xflux_lo = 0.25*(rho_u(i ,j ,k) + rho_u(i , j, k-1)) * mf_uy_inv(i ,j ,0) * (w(i-1,j,k) + w(i,j,k));
139 Real yflux_hi = 0.25*(rho_v(i ,j+1,k) + rho_v(i, j+1, k-1)) * mf_vx_inv(i ,j+1,0) * (w(i,j+1,k) + w(i,j,k));
140 Real yflux_lo = 0.25*(rho_v(i ,j ,k) + rho_v(i, j , k-1)) * mf_vx_inv(i ,j ,0) * (w(i,j-1,k) + w(i,j,k));
142 Real zflux_lo = 0.25 * (
omega(i,j,k) +
omega(i,j,k-1)) * (w(i,j,k) + w(i,j,k-1));
144 Real zflux_hi = (k == hi_z_face) ?
omega(i,j,k) * w(i,j,k) :
145 0.25 * (
omega(i,j,k) +
omega(i,j,k+1)) * (w(i,j,k) + w(i,j,k+1));
147 Real mfsq = mf_mx(i,j,0) * mf_my(i,j,0);
149 Real dzInv = 2.0 / (dz_ptr[k] + dz_ptr[k-1]);
151 Real advectionSrc = (xflux_hi - xflux_lo) * dxInv * mfsq
152 + (yflux_hi - yflux_lo) * dyInv * mfsq
153 + (zflux_hi - zflux_lo) * dzInv;
154 rho_w_rhs(i, j, k) = -advectionSrc;
160 AdvectionSrcForMomVert_N<CENTERED2>(bxx, bxy, bxz,
161 rho_u_rhs, rho_v_rhs, rho_w_rhs,
162 rho_u, rho_v,
omega, u, v, w,
163 cellSizeInv, stretched_dz_d,
164 mf_mx, mf_ux_inv, mf_vx_inv,
165 mf_my, mf_uy_inv, mf_vy_inv,
166 horiz_upw_frac, vert_upw_frac,
167 vert_adv_type, lo_z_face, hi_z_face);
169 AdvectionSrcForMomVert_N<UPWIND3>(bxx, bxy, bxz,
170 rho_u_rhs, rho_v_rhs, rho_w_rhs,
171 rho_u, rho_v,
omega, u, v, w,
172 cellSizeInv, stretched_dz_d,
173 mf_mx, mf_ux_inv, mf_vx_inv,
174 mf_my, mf_uy_inv, mf_vy_inv,
175 horiz_upw_frac, vert_upw_frac,
176 vert_adv_type, lo_z_face, hi_z_face);
178 AdvectionSrcForMomVert_N<CENTERED4>(bxx, bxy, bxz,
179 rho_u_rhs, rho_v_rhs, rho_w_rhs,
180 rho_u, rho_v,
omega, u, v, w,
181 cellSizeInv, stretched_dz_d,
182 mf_mx, mf_ux_inv, mf_vx_inv,
183 mf_my, mf_uy_inv, mf_vy_inv,
184 horiz_upw_frac, vert_upw_frac,
185 vert_adv_type, lo_z_face, hi_z_face);
187 AdvectionSrcForMomVert_N<UPWIND5>(bxx, bxy, bxz,
188 rho_u_rhs, rho_v_rhs, rho_w_rhs,
189 rho_u, rho_v,
omega, u, v, w,
190 cellSizeInv, stretched_dz_d,
191 mf_mx, mf_ux_inv, mf_vx_inv,
192 mf_my, mf_uy_inv, mf_vy_inv,
193 horiz_upw_frac, vert_upw_frac,
194 vert_adv_type, lo_z_face, hi_z_face);
196 AdvectionSrcForMomVert_N<CENTERED6>(bxx, bxy, bxz,
197 rho_u_rhs, rho_v_rhs, rho_w_rhs,
198 rho_u, rho_v,
omega, u, v, w,
199 cellSizeInv, stretched_dz_d,
200 mf_mx, mf_ux_inv, mf_vx_inv,
201 mf_my, mf_uy_inv, mf_vy_inv,
202 horiz_upw_frac, vert_upw_frac,
203 vert_adv_type, lo_z_face, hi_z_face);
205 AMREX_ASSERT_WITH_MESSAGE(
false,
"Unknown advection scheme!");
@ omega
Definition: ERF_Morrison.H:53