ERF_SlowRhsPre.cpp File Reference

#include "AMReX_MultiFab.H"
#include "AMReX_iMultiFab.H"
#include "AMReX_ArrayLim.H"
#include "AMReX_BCRec.H"
#include "AMReX_GpuContainers.H"
#include "AMReX_GpuPrint.H"
#include "ERF_TI_slow_headers.H"
#include "ERF_SlowRhsPreUtils.H"
#include "ERF_ShocDriver.H"
#include "ERF_EOS.H"
#include "ERF_Utils.H"
#include "ERF_Diffusion.H"
#include "ERF_EBAdvection.H"
#include "ERF_EB.H"
#include "ERF_SurfaceLayer.H"
#include "Diffusion/ERF_CloudChamberWallFlux.H"
#include "Diffusion/ERF_CloudChamberWallStress.H"
#include "Prob/ERF_CloudChamberBudget.H"

Include dependency graph for ERF_SlowRhsPre.cpp:

Functions
void	erf_slow_rhs_pre (int level, int finest_level, int nrk, double dt, Vector< MultiFab > &S_rhs, Vector< MultiFab > &S_old, Vector< MultiFab > &S_data, const MultiFab &S_prim, const MultiFab &qt, MultiFab &avg_xmom, MultiFab &avg_ymom, MultiFab &avg_zmom, const MultiFab &xvel, const MultiFab &yvel, const MultiFab &zvel, std::unique_ptr< MultiFab > &z_t_mf, const MultiFab &cc_src, const MultiFab &xmom_src, const MultiFab &ymom_src, const MultiFab &zmom_src, const MultiFab &buoyancy, const MultiFab *zmom_crse_rhs, Vector< std::unique_ptr< MultiFab >> &Tau_lev, Vector< std::unique_ptr< MultiFab >> &Tau_corr_lev, Vector< Vector< std::unique_ptr< MultiFab >>> &Tau_EB, MultiFab *SmnSmn, MultiFab *eddyDiffs, MultiFab *Hfx1, MultiFab *Hfx2, MultiFab *Hfx3, MultiFab *Q1fx1, MultiFab *Q1fx2, MultiFab *Q1fx3, MultiFab *Q2fx3, MultiFab *, MultiFab *mf_surface_fluxes, MultiFab *Hfx3_EB, const Geometry geom, const SolverChoice &solverChoice, const amrex::Vector< std::unique_ptr< SurfaceLayer >> &SurfLayer, const Gpu::DeviceVector< BCRec > &domain_bcs_type_d, const Vector< BCRec > &domain_bcs_type_h, const MultiFab &z_phys_nd, const MultiFab &z_phys_cc, const MultiFab &ax, const MultiFab &ay, const MultiFab &az, const MultiFab &detJ, Gpu::DeviceVector< Real > &stretched_dz_d, Vector< MultiFab > &gradp, Vector< std::unique_ptr< MultiFab >> &mapfac, const eb_ &ebfact, ShocDriver *native_shoc_lev, YAFluxRegister *fr_as_crse, YAFluxRegister *fr_as_fine, const MultiFab *cloud_chamber_base_state, const erf_cloud_chamber::Config *cloud_chamber_config, CloudChamberBudget *cloud_budget, const MultiFab *ib_wall_face13, const MultiFab *ib_wall_face23, const MultiFab *ib_wall_face33, const MultiFab *ib_wall_hfx)

Function Documentation

erf_slow_rhs_pre()

void erf_slow_rhs_pre	(	int	level,
		int	finest_level,
		int	nrk,
		double	dt,
		Vector< MultiFab > &	S_rhs,
		Vector< MultiFab > &	S_old,
		Vector< MultiFab > &	S_data,
		const MultiFab &	S_prim,
		const MultiFab &	qt,
		MultiFab &	avg_xmom,
		MultiFab &	avg_ymom,
		MultiFab &	avg_zmom,
		const MultiFab &	xvel,
		const MultiFab &	yvel,
		const MultiFab &	zvel,
		std::unique_ptr< MultiFab > &	z_t_mf,
		const MultiFab &	cc_src,
		const MultiFab &	xmom_src,
		const MultiFab &	ymom_src,
		const MultiFab &	zmom_src,
		const MultiFab &	buoyancy,
		const MultiFab *	zmom_crse_rhs,
		Vector< std::unique_ptr< MultiFab >> &	Tau_lev,
		Vector< std::unique_ptr< MultiFab >> &	Tau_corr_lev,
		Vector< Vector< std::unique_ptr< MultiFab >>> &	Tau_EB,
		MultiFab *	SmnSmn,
		MultiFab *	eddyDiffs,
		MultiFab *	Hfx1,
		MultiFab *	Hfx2,
		MultiFab *	Hfx3,
		MultiFab *	Q1fx1,
		MultiFab *	Q1fx2,
		MultiFab *	Q1fx3,
		MultiFab *	Q2fx3,
		MultiFab *	,
		MultiFab *	mf_surface_fluxes,
		MultiFab *	Hfx3_EB,
		const Geometry	geom,
		const SolverChoice &	solverChoice,
		const amrex::Vector< std::unique_ptr< SurfaceLayer >> &	SurfLayer,
		const Gpu::DeviceVector< BCRec > &	domain_bcs_type_d,
		const Vector< BCRec > &	domain_bcs_type_h,
		const MultiFab &	z_phys_nd,
		const MultiFab &	z_phys_cc,
		const MultiFab &	ax,
		const MultiFab &	ay,
		const MultiFab &	az,
		const MultiFab &	detJ,
		Gpu::DeviceVector< Real > &	stretched_dz_d,
		Vector< MultiFab > &	gradp,
		Vector< std::unique_ptr< MultiFab >> &	mapfac,
		const eb_ &	ebfact,
		ShocDriver *	native_shoc_lev,
		YAFluxRegister *	fr_as_crse,
		YAFluxRegister *	fr_as_fine,
		const MultiFab *	cloud_chamber_base_state,
		const erf_cloud_chamber::Config *	cloud_chamber_config,
		CloudChamberBudget *	cloud_budget,
		const MultiFab *	ib_wall_face13,
		const MultiFab *	ib_wall_face23,
		const MultiFab *	ib_wall_face33,
		const MultiFab *	ib_wall_hfx
	)

Function for computing the slow RHS for the evolution equations for the density, potential temperature and momentum.

Parameters

[in]	level	level of resolution
[in]	finest_level	finest level of resolution
[in]	nrk	which RK stage
[in]	dt	slow time step
[out]	S_rhs	RHS computed here
[in]	S_old	old-time solution – used only for anelastic
[in]	S_data	current solution
[in]	S_prim	primitive variables (i.e. conserved variables divided by density)
[in,out]	avg_xmom
[in,out]	avg_ymom
[in,out]	avg_zmom
[in]	xvel	x-component of velocity
[in]	yvel	y-component of velocity
[in]	zvel	z-component of velocity
[in]	z_t_	mf rate of change of grid height – only relevant for moving terrain
[in]	cc_src	source terms for conserved variables
[in]	xmom_src	source terms for x-momentum
[in]	ymom_src	source terms for y-momentum
[in]	zmom_src	source terms for z-momentum
[in]	buoyancy	buoyancy source term for z-momentum
[in]	zmom_crse_rhs	update term from coarser level for z-momentum; non-zero on c/f boundary only
[in]	Tau_lev	components of stress tensor
[in]	SmnSmn	strain rate magnitude
[in]	eddyDiffs	diffusion coefficients for LES turbulence models
[in]	Hfx3	heat flux in z-dir
[in]	Diss	dissipation of turbulent kinetic energy
[in]	geom	Container for geometric information
[in]	solverChoice	Container for solver parameters
[in]	SurfLayer	Pointer to SurfaceLayer class for Monin-Obukhov Similarity Theory boundary condition
[in]	domain_bcs_type_d	device vector for domain boundary conditions
[in]	domain_bcs_type_h	host vector for domain boundary conditions
[in]	z_phys_nd	height coordinate at nodes
[in]	ax	area fractions on x-faces
[in]	ay	area fractions on y-faces
[in]	az	area fractions on z-faces
[in]	detJ	Jacobian of the metric transformation (= 1 if use_terrain_fitted_coords is false)
[in]	gradp	pressure gradient
[in]	mapfac	map factors
[in]	ebfact	EB factories for cell- and face-centered variables
[in,out]	fr_as_crse	YAFluxRegister at level l at level l / l+1 interface
[in,out]	fr_as_fine	YAFluxRegister at level l at level l-1 / l interface

{
    BL_PROFILE_REGION("erf_slow_rhs_pre()");
 
    const BCRec* bc_ptr_d = domain_bcs_type_d.data();
    const BCRec* bc_ptr_h = domain_bcs_type_h.data();
 
    DiffChoice dc = solverChoice.diffChoice;
    TurbChoice tc = solverChoice.turbChoice[level];
 
    const Box& domain = geom.Domain();
    const bool use_physical_chamber_wall_flux =
        cloud_chamber_config != nullptr && cloud_chamber_base_state != nullptr &&
        cloud_chamber_config->physical_initialization;
    const erf_wall_thermodynamics::Boundary chamber_walls =
        use_physical_chamber_wall_flux ? cloud_chamber_config->wall_boundary() :
                                         erf_wall_thermodynamics::Boundary{};
    int klo = domain.smallEnd(2);
    int khi = domain.bigEnd(2);
 
    const AdvType l_horiz_adv_type = solverChoice.advChoice.dycore_horiz_adv_type;
    const AdvType l_vert_adv_type  = solverChoice.advChoice.dycore_vert_adv_type;
    const Real    l_horiz_upw_frac = solverChoice.advChoice.dycore_horiz_upw_frac;
    const Real    l_vert_upw_frac  = solverChoice.advChoice.dycore_vert_upw_frac;
    const bool    l_use_stretched_dz             = (solverChoice.mesh_type == MeshType::StretchedDz);
    const bool    l_use_terrain_fitted_coords    = (solverChoice.mesh_type == MeshType::VariableDz);
    const bool    l_moving_terrain               = (solverChoice.terrain_type == TerrainType::MovingFittedMesh);
    if (l_moving_terrain) AMREX_ALWAYS_ASSERT (l_use_stretched_dz || l_use_terrain_fitted_coords);
 
    const bool l_use_diff       = ( (dc.molec_diff_type != MolecDiffType::None) ||
                                    (tc.les_type        !=       LESType::None) ||
                                    (tc.rans_type       !=      RANSType::None) ||
                                    (tc.pbl_type        !=       PBLType::None) );
    const bool l_use_turb       = tc.use_kturb;
 
    const Real l_vert_implicit_fac = (solverChoice.implicit_thermal_diffusion) ?
                                     solverChoice.vert_implicit_fac[level][nrk] : zero;
 
    const bool l_use_moisture  = (solverChoice.moisture_type != MoistureType::None);
 
    auto any_SurfLayer = [&SurfLayer_ = SurfLayer]() -> bool {
        for (auto it = SurfLayer_.begin(); it != SurfLayer_.end(); it++)
        {
            if (*it != nullptr) { return true; }
        }
        return false;
    };
 
    const bool l_use_SurfLayer = any_SurfLayer();
    bool l_apply_surface_layer_fluxes_in_diffusion = l_use_SurfLayer;
    const bool l_rotate        = (solverChoice.use_rotate_surface_flux);
 
    const bool l_anelastic = (solverChoice.anelastic[level]     == 1);
    const bool l_fixed_rho = (solverChoice.fixed_density[level] == 1);
 
    const bool l_anelastic_rk2 = (solverChoice.anelastic_type[level] == AnelasticType::RK2);
 
    const bool l_reflux = IsRefluxStage(solverChoice, level, finest_level, nrk);
    const Real l_reflux_dt = RefluxStageWeight(solverChoice, level, finest_level, nrk) * static_cast<Real>(dt);
 
    const bool l_use_eb = (solverChoice.terrain_type == TerrainType::EB);
 
    const GpuArray<Real, AMREX_SPACEDIM> dxInv = geom.InvCellSizeArray();
    const Real* dx = geom.CellSize();
 
    // **************************************************************************************
    // If doing advection with EB we need the extra values for tangential interpolation
    // **************************************************************************************
    if (l_use_eb) {
        S_data[IntVars::xmom].FillBoundary(geom.periodicity());
        S_data[IntVars::ymom].FillBoundary(geom.periodicity());
        S_data[IntVars::zmom].FillBoundary(geom.periodicity());
    }
 
    // *****************************************************************************
    // Pre-computed quantities
    // *****************************************************************************
    int nvars                     = S_data[IntVars::cons].nComp();
    const BoxArray& ba            = S_data[IntVars::cons].boxArray();
    const DistributionMapping& dm = S_data[IntVars::cons].DistributionMap();
 
    int nGhost = (l_use_eb) ? 2 : 1;
    MultiFab Omega(convert(ba,IntVect(0,0,1)), dm, 1, nGhost);
 
    std::unique_ptr<MultiFab> expr;
    std::unique_ptr<MultiFab> dflux_x;
    std::unique_ptr<MultiFab> dflux_y;
    std::unique_ptr<MultiFab> dflux_z;
 
    if (l_use_diff) {
#ifdef ERF_USE_EAMXX_SHOC
        if (tc.uses_eamxx_shoc()) {
            AMREX_ALWAYS_ASSERT(eamxx_shoc_lev != nullptr);
            // SHOC either supplies host-applied vertical SGS coefficients or
            // clears them so the host does not re-apply SHOC transport.
            eamxx_shoc_lev->set_eddy_diffs();
        }
#endif
        if (tc.uses_native_shoc()) {
            AMREX_ALWAYS_ASSERT(native_shoc_lev != nullptr);
            // Native SHOC owns the scalar fluxes and does not hand momentum
            // stresses back to the generic host diffusion path.
            l_apply_surface_layer_fluxes_in_diffusion = false;
            native_shoc_lev->set_eddy_diffs();
        }
 
        erf_make_tau_terms(level,nrk,domain_bcs_type_h,z_phys_nd,
                           S_data,xvel,yvel,zvel,
                           Tau_lev,Tau_corr_lev,
                           SmnSmn,eddyDiffs,geom,solverChoice,SurfLayer,
                           stretched_dz_d, detJ,mapfac, ax, ay, az, ebfact,
                           ib_wall_face13, ib_wall_face23);
 
        IntVect ng(0,0,1);
        dflux_x = std::make_unique<MultiFab>(convert(ba,IntVect(1,0,0)), dm, nvars, ng);
        dflux_y = std::make_unique<MultiFab>(convert(ba,IntVect(0,1,0)), dm, nvars, ng);
        dflux_z = std::make_unique<MultiFab>(convert(ba,IntVect(0,0,1)), dm, nvars, 0);
        // The physical theta wall override consumes the just-computed face
        // flux.  Initialize its storage independently of diagnostics so a
        // budget switch cannot change the state update.
        if (use_physical_chamber_wall_flux) {
            dflux_x->setVal(0.0);
            dflux_y->setVal(0.0);
            dflux_z->setVal(0.0);
        }
 
        bool surface_layer_handled = false;
#ifdef ERF_USE_EAMXX_SHOC
        if (tc.uses_eamxx_shoc()) {
            AMREX_ALWAYS_ASSERT(eamxx_shoc_lev != nullptr);
            // EAMxx SHOC owns the overlapping lower-boundary fluxes here, so
            // do not fall through to the generic SurfaceLayer path.
            eamxx_shoc_lev->set_diff_stresses();
            surface_layer_handled = true;
        }
#endif
        if (tc.uses_native_shoc()) {
            AMREX_ALWAYS_ASSERT(native_shoc_lev != nullptr);
            surface_layer_handled = true;
        }
        if (!surface_layer_handled && l_use_SurfLayer) {
            Vector<const MultiFab*> mfs = {&S_data[IntVars::cons], &xvel, &yvel, &zvel};
            if (!l_use_eb) {
                for (OrientationIter oit; oit; ++oit) {
                    Orientation ori = oit();
                    if (SurfLayer[ori]) {
                        SurfLayer[ori]->impose_SurfaceLayer_bcs(level, mfs, Tau_lev,
                                                                            Hfx1, Hfx2, Hfx3,
                                                                            Q1fx1, Q1fx2, Q1fx3,
                                                                            &z_phys_nd,
                                                                            mf_surface_fluxes);
                    }
                }
 
                //if (l_vert_implicit_fac > 0 && solverChoice.implicit_momentum_diffusion) {
                //    copy_surface_tau_for_implicit(Tau_lev, Tau_corr_lev);
                //}
            } else {
                SurfLayer[Orientation(Direction::z,Orientation::low)]->impose_SurfaceLayer_bcs_EB(level, mfs, Tau_EB,
                                                                                                  Hfx1, Hfx2, Hfx3_EB,
                                                                                                  Q1fx1, Q1fx2, Q1fx3);
            }
        }
        if (tc.uses_native_shoc() && native_shoc_lev) {
            // SHOC-owned scalar fluxes must not be reused by the host
            // diffusion source, even if the host SurfaceLayer path was also
            // evaluated for momentum stress ownership.
            native_shoc_lev->set_diff_stresses();
        }
    } // l_use_diff
 
    // This is just cautionary to deal with grid boundaries that aren't domain boundaries
    S_rhs[IntVars::zmom].setVal(0);
 
    // *****************************************************************************
    // Define updates and fluxes in the current RK stage
    // *****************************************************************************
    // Cell-centered masks for EB (used for flux interpolation)
    bool already_on_centroids = false;
    Vector<iMultiFab> physbnd_mask;
    physbnd_mask.resize(IntVars::NumTypes);
    if (l_use_eb) {
        physbnd_mask[IntVars::cons].define(S_data[IntVars::cons].boxArray(), S_data[IntVars::cons].DistributionMap(), 1, 1);
        physbnd_mask[IntVars::cons].BuildMask(geom.Domain(), geom.periodicity(), 1, 1, 0, 1);
        // physbnd_mask[IntVars::cons].FillBoundary(geom.periodicity());
        for (int dir = 0; dir < AMREX_SPACEDIM; ++dir) {
            physbnd_mask[1+dir].define(S_data[1+dir].boxArray(), S_data[1+dir].DistributionMap(), 1, 1);
            physbnd_mask[1+dir].BuildMask(geom.Domain(), geom.periodicity(), 1, 1, 0, 1);
            // physbnd_mask[1+dir].FillBoundary(geom.periodicity());
        }
    }
 
#ifdef _OPENMP
#pragma omp parallel if (Gpu::notInLaunchRegion())
#endif
    {
    BL_PROFILE("slow_rhs_making_omega");
    for ( MFIter mfi(S_data[IntVars::cons],TileNoZ()); mfi.isValid(); ++mfi)
    {
        IntVect nGrowVect = (l_use_eb)
                            ? IntVect(AMREX_D_DECL(2, 2, 2)) : IntVect(AMREX_D_DECL(1, 1, 1));
 
        //
        // NOTE: grownnodaltilebox, not surroundingNodes(tilebox,2) grown by hand.  The latter
        //       grows every tile past its own share of the grid, so once the grid is tiled two
        //       tiles write the same Omega cells -- under OpenMP that is a concurrent write to
        //       the same memory, i.e. a data race, even though both threads happen to store the
        //       same value.  grownnodaltilebox hands each tile a disjoint piece of the grown
        //       nodal box, and is identical to the old expression when there is one tile per grid.
        //
        Box gbxo = mfi.grownnodaltilebox(2,nGrowVect);
 
        const Array4<const Real>& rho_u = S_data[IntVars::xmom].array(mfi);
        const Array4<const Real>& rho_v = S_data[IntVars::ymom].array(mfi);
        const Array4<const Real>& rho_w = S_data[IntVars::zmom].array(mfi);
        const Array4<      Real>& omega_arr = Omega.array(mfi);
 
        //
        // Now create Omega with momentum (not velocity) with z_t subtracted if moving terrain
        // ONLY if not doing anelastic + terrain -- in that case Omega will be defined coming
        // out of the projection
        //
        if (!l_use_terrain_fitted_coords) {
            ParallelFor(gbxo, [=] AMREX_GPU_DEVICE (int i, int j, int k) noexcept {
                omega_arr(i,j,k) = rho_w(i,j,k);
            });
 
        } else {
 
            Box gbxo_lo = gbxo; gbxo_lo.setBig(2,domain.smallEnd(2));
            int lo_z_face = domain.smallEnd(2);
            if (gbxo_lo.smallEnd(2) <= lo_z_face) {
                ParallelFor(gbxo_lo, [=] AMREX_GPU_DEVICE (int i, int j, int k) noexcept {
                    omega_arr(i,j,k) = zero;
                });
            }
            // Omega = rho w on the top face assumes the top of the domain is flat
            // (enforced at setup by validate_flat_top)
            Box gbxo_hi = gbxo; gbxo_hi.setSmall(2,gbxo.bigEnd(2));
            int hi_z_face = domain.bigEnd(2)+1;
                if (gbxo_hi.bigEnd(2) >= hi_z_face) {
                ParallelFor(gbxo_hi, [=] AMREX_GPU_DEVICE (int i, int j, int k) noexcept {
                    omega_arr(i,j,k) = rho_w(i,j,k);
                });
            }
 
            const Array4<const Real>& z_nd = z_phys_nd.const_array(mfi);
            const Array4<const Real>& mf_ux     = mapfac[MapFacType::u_x]->const_array(mfi);
            const Array4<const Real>& mf_vy     = mapfac[MapFacType::v_y]->const_array(mfi);
 
            if (z_t_mf) { // Note we never do anelastic with moving terrain
                Box gbxo_mid = gbxo;
                if (gbxo_mid.smallEnd(2) <= domain.smallEnd(2)) { gbxo_mid.setSmall(2,1); }
                if (gbxo_mid.bigEnd(2)   >= domain.bigEnd(2)+1) { gbxo_mid.setBig(2,gbxo.bigEnd(2)-1); }
                      Array4<const Real> z_t        = z_t_mf->array(mfi);
                const Array4<const Real>& cell_data = S_data[IntVars::cons].array(mfi);
                ParallelFor(gbxo_mid, [=] AMREX_GPU_DEVICE (int i, int j, int k) noexcept {
                    // We define rho on the z-face the same way as in MomentumToVelocity/VelocityToMomentum
                    Real rho_at_face = myhalf * (cell_data(i,j,k,Rho_comp) + cell_data(i,j,k-1,Rho_comp));
                    omega_arr(i,j,k) = OmegaFromW(i,j,k,rho_w(i,j,k),
                                                  rho_u,rho_v,mf_ux,mf_vy,z_nd,dxInv) -
                        rho_at_face * z_t(i,j,k);
                });
            } else {
                Box gbxo_mid = gbxo;
                if (gbxo_mid.smallEnd(2) <= domain.smallEnd(2)) {
                    gbxo_mid.setSmall(2,1);
                }
                if (gbxo_mid.bigEnd(2) >= domain.bigEnd(2)+1) {
                    gbxo_mid.setBig(2,gbxo.bigEnd(2)-1);
                }
                ParallelFor(gbxo_mid, [=] AMREX_GPU_DEVICE (int i, int j, int k) noexcept {
                    omega_arr(i,j,k) = OmegaFromW(i,j,k,rho_w(i,j,k),
                                                  rho_u,rho_v,mf_ux,mf_vy,z_nd,dxInv);
                });
            }
        }
    } // mfi
    } // OMP
 
    // We need extra values of Omega in the vertical if grids are decomposed vertically
    Omega.FillBoundary(geom.periodicity());
 
#ifdef _OPENMP
#pragma omp parallel if (Gpu::notInLaunchRegion())
#endif
    {
    for ( MFIter mfi(S_data[IntVars::cons],TileNoZ()); mfi.isValid(); ++mfi)
    {
        Box bx  = mfi.tilebox();
        Box tbx = mfi.nodaltilebox(0);
        Box tby = mfi.nodaltilebox(1);
        Box tbz = mfi.nodaltilebox(2);
 
        // Boxes for momentum fluxes
        Vector<Box> tbx_grown(AMREX_SPACEDIM);
        Vector<Box> tby_grown(AMREX_SPACEDIM);
        Vector<Box> tbz_grown(AMREX_SPACEDIM);
        if (l_use_eb) {
            for (int dir = 0; dir < AMREX_SPACEDIM; ++dir) {
                tbx_grown[dir] = tbx;
                tby_grown[dir] = tby;
                tbz_grown[dir] = tbz;
                IntVect iv(1, 1, 1);
                iv[dir] = 0;
                tbx_grown[dir] = (tbx_grown[dir].growHi(dir,1)).grow(iv);
                tby_grown[dir] = (tby_grown[dir].growHi(dir,1)).grow(iv);
                tbz_grown[dir] = (tbz_grown[dir].growHi(dir,1)).grow(iv);
            }
        }
 
        // We don't compute a source term for z-momentum on the bottom or top domain boundary
        tbz = ShrinkZmomBoxAtDomainEnds(tbz, domain);
 
        const Array4<const Real> & cell_data  = S_data[IntVars::cons].array(mfi);
        const Array4<const Real> & cell_prim  = S_prim.array(mfi);
        const Array4<Real>       & cell_rhs   = S_rhs[IntVars::cons].array(mfi);
 
        const Array4<const Real> & cell_old   = S_old[IntVars::cons].array(mfi);
 
        const Array4<Real const>& xmom_src_arr   = xmom_src.const_array(mfi);
        const Array4<Real const>& ymom_src_arr   = ymom_src.const_array(mfi);
        const Array4<Real const>& zmom_src_arr   = zmom_src.const_array(mfi);
        const Array4<Real const>& buoyancy_arr   = buoyancy.const_array(mfi);
 
        const Array4<Real const>& gpx_arr   = gradp[GpVars::gpx].const_array(mfi);
        const Array4<Real const>& gpy_arr   = gradp[GpVars::gpy].const_array(mfi);
        const Array4<Real const>& gpz_arr   = gradp[GpVars::gpz].const_array(mfi);
 
        const Array4<Real const>&  qt_arr   = qt.const_array(mfi);
 
        const Array4<Real>& rho_u_old = S_old[IntVars::xmom].array(mfi);
        const Array4<Real>& rho_v_old = S_old[IntVars::ymom].array(mfi);
        const Array4<Real>& rho_w_old = S_old[IntVars::zmom].array(mfi);
 
        if (l_anelastic) {
            // When anelastic we must reset these to 0 each RK step
            avg_xmom[mfi].template setVal<RunOn::Device>(0,tbx);
            avg_ymom[mfi].template setVal<RunOn::Device>(0,tby);
            avg_zmom[mfi].template setVal<RunOn::Device>(0,tbz);
        }
 
        Array4<Real> avg_xmom_arr = avg_xmom.array(mfi);
        Array4<Real> avg_ymom_arr = avg_ymom.array(mfi);
        Array4<Real> avg_zmom_arr = avg_zmom.array(mfi);
 
        const Array4<const Real> & u = xvel.array(mfi);
        const Array4<const Real> & v = yvel.array(mfi);
        const Array4<const Real> & w = zvel.array(mfi);
 
        const Array4<const Real>& rho_u = S_data[IntVars::xmom].array(mfi);
        const Array4<const Real>& rho_v = S_data[IntVars::ymom].array(mfi);
        const Array4<const Real>& rho_w = S_data[IntVars::zmom].array(mfi);
 
        // Map factors
        const Array4<const Real>& mf_mx  = mapfac[MapFacType::m_x]->const_array(mfi);
        const Array4<const Real>& mf_ux  = mapfac[MapFacType::u_x]->const_array(mfi);
        const Array4<const Real>& mf_vx  = mapfac[MapFacType::v_x]->const_array(mfi);
        const Array4<const Real>& mf_my  = mapfac[MapFacType::m_y]->const_array(mfi);
        const Array4<const Real>& mf_uy  = mapfac[MapFacType::u_y]->const_array(mfi);
        const Array4<const Real>& mf_vy  = mapfac[MapFacType::v_y]->const_array(mfi);
 
        const Array4<      Real>& omega_arr = Omega.array(mfi);
 
        const Array4<Real>& rho_u_rhs = S_rhs[IntVars::xmom].array(mfi);
        const Array4<Real>& rho_v_rhs = S_rhs[IntVars::ymom].array(mfi);
        const Array4<Real>& rho_w_rhs = S_rhs[IntVars::zmom].array(mfi);
 
        const Array4<Real const>& mu_turb = l_use_turb ? eddyDiffs->const_array(mfi) : Array4<const Real>{};
 
        // Terrain metrics
        const Array4<const Real>& z_nd = z_phys_nd.const_array(mfi);
        const Array4<const Real>& z_cc = z_phys_cc.const_array(mfi);
 
        // *****************************************************************************
        // Define flux arrays for use in advection
        // *****************************************************************************
        std::array<FArrayBox,AMREX_SPACEDIM> flux;
        std::array<FArrayBox,AMREX_SPACEDIM> flux_u;
        std::array<FArrayBox,AMREX_SPACEDIM> flux_v;
        std::array<FArrayBox,AMREX_SPACEDIM> flux_w;
 
        for (int dir = 0; dir < AMREX_SPACEDIM; ++dir) {
            if (!l_use_eb) {
                flux[dir].resize(surroundingNodes(bx,dir),2,The_Async_Arena());
            } else {
                flux[dir].resize(surroundingNodes(bx,dir).grow(1),2,The_Async_Arena());
            }
            flux[dir].setVal<RunOn::Device>(0);
        }
        const GpuArray<const Array4<Real>, AMREX_SPACEDIM>
            flx_arr{{AMREX_D_DECL(flux[0].array(), flux[1].array(), flux[2].array())}};
 
        // On an anelastic level, in the stage whose fluxes are refluxed, the diffusion of (rho theta)
        // adds its face fluxes to flux[] too, so that the flux registers see the diffusive as well as
        // the advective transport (EB diffusion does not do this), as in erf_slow_rhs_post
        const ScalarDiffusionRefluxViews* l_reflux_diffusion =
            (l_reflux && l_anelastic && !l_use_eb) ? &flx_arr : nullptr;
 
        // Define flux arrays for momentum variables (used only for EB now)
        GpuArray<Array4<Real>, AMREX_SPACEDIM> flx_u_arr{};
        GpuArray<Array4<Real>, AMREX_SPACEDIM> flx_v_arr{};
        GpuArray<Array4<Real>, AMREX_SPACEDIM> flx_w_arr{};
 
        if (l_use_eb) {
            for (int dir = 0; dir < AMREX_SPACEDIM; ++dir) {
                flux_u[dir].resize(tbx_grown[dir],1,The_Async_Arena());
                flux_v[dir].resize(tby_grown[dir],1,The_Async_Arena());
                flux_w[dir].resize(tbz_grown[dir],1,The_Async_Arena());
                flux_u[dir].setVal<RunOn::Device>(0);
                flux_v[dir].setVal<RunOn::Device>(0);
                flux_w[dir].setVal<RunOn::Device>(0);
                flx_u_arr[dir] = flux_u[dir].array();
                flx_v_arr[dir] = flux_v[dir].array();
                flx_w_arr[dir] = flux_w[dir].array();
            }
        }
 
        // *****************************************************************************
        // Diffusive terms (pre-computed above)
        // *****************************************************************************
        // No terrain diffusion
        Array4<Real> tau11,tau22,tau33;
        Array4<Real> tau12,tau13,tau23;
        if (Tau_lev[TauType::tau11]) {
            tau11 = Tau_lev[TauType::tau11]->array(mfi); tau22 = Tau_lev[TauType::tau22]->array(mfi);
            tau33 = Tau_lev[TauType::tau33]->array(mfi); tau12 = Tau_lev[TauType::tau12]->array(mfi);
            tau13 = Tau_lev[TauType::tau13]->array(mfi); tau23 = Tau_lev[TauType::tau23]->array(mfi);
        } else {
            tau11 = Array4<Real>{}; tau22 = Array4<Real>{}; tau33 = Array4<Real>{};
            tau12 = Array4<Real>{}; tau13 = Array4<Real>{}; tau23 = Array4<Real>{};
        }
        // Terrain diffusion
        Array4<Real> tau21,tau31,tau32;
       tau21 = (Tau_lev[TauType::tau21]) ? Tau_lev[TauType::tau21]->array(mfi) : Array4<Real>{};
       tau31 = (Tau_lev[TauType::tau31]) ? Tau_lev[TauType::tau31]->array(mfi) : Array4<Real>{};
       tau32 = (Tau_lev[TauType::tau32]) ? Tau_lev[TauType::tau32]->array(mfi) : Array4<Real>{};
 
        // EB surface layer fluxes
        Array4<Real> u_tau_eb13, u_tau_eb23;
        Array4<Real> v_tau_eb13, v_tau_eb23;
        Array4<Real> w_tau_eb13, w_tau_eb23;
        if (l_use_eb) {
            EBChoice ebChoice = solverChoice.ebChoice;
            if (ebChoice.eb_boundary_type == EBBoundaryType::SurfaceLayer) {
                u_tau_eb13 = Tau_EB[EBTauType::tau_eb13][EBGridType::xface]->array(mfi);
                u_tau_eb23 = Tau_EB[EBTauType::tau_eb23][EBGridType::xface]->array(mfi);
                v_tau_eb13 = Tau_EB[EBTauType::tau_eb13][EBGridType::yface]->array(mfi);
                v_tau_eb23 = Tau_EB[EBTauType::tau_eb23][EBGridType::yface]->array(mfi);
                w_tau_eb13 = Tau_EB[EBTauType::tau_eb13][EBGridType::zface]->array(mfi);
                w_tau_eb23 = Tau_EB[EBTauType::tau_eb23][EBGridType::zface]->array(mfi);
            }
        }
 
        // *****************************************************************************
        // Define updates in the RHS of continuity and potential temperature equations
        // *****************************************************************************
        bool l_eb_terrain_cc = false; // EB terrain on cell-centered grid
        Array4<const int> mask_arr{};
        Array4<const EBCellFlag> cfg_arr{};
        Array4<const Real> ax_arr{};
        Array4<const Real> ay_arr{};
        Array4<const Real> az_arr{};
        Array4<const Real> fcx_arr{};
        Array4<const Real> fcy_arr{};
        Array4<const Real> fcz_arr{};
        Array4<const Real> detJ_arr{};
        Array4<const Real> barea_arr{};
        Array4<const Real> bcent_arr{};
 
        if (l_use_eb) {
            const auto& eb_cc_factory = ebfact.get_const_factory();
 
            EBCellFlagFab const& cfg = eb_cc_factory->getMultiEBCellFlagFab()[mfi];
            cfg_arr  = cfg.const_array();
            if (cfg.getType(bx) == FabType::singlevalued) {
                l_eb_terrain_cc = true;
                ax_arr   = eb_cc_factory->getAreaFrac()[0]->const_array(mfi);
                ay_arr   = eb_cc_factory->getAreaFrac()[1]->const_array(mfi);
                az_arr   = eb_cc_factory->getAreaFrac()[2]->const_array(mfi);
                fcx_arr  = eb_cc_factory->getFaceCent()[0]->const_array(mfi);
                fcy_arr  = eb_cc_factory->getFaceCent()[1]->const_array(mfi);
                fcz_arr  = eb_cc_factory->getFaceCent()[2]->const_array(mfi);
                detJ_arr = eb_cc_factory->getVolFrac().const_array(mfi);
                mask_arr = physbnd_mask[IntVars::cons].const_array(mfi);
                barea_arr = eb_cc_factory->getBndryArea().const_array(mfi);
                bcent_arr = eb_cc_factory->getBndryCent().const_array(mfi);
            } else {
                ax_arr   = ax.const_array(mfi);
                ay_arr   = ay.const_array(mfi);
                az_arr   = az.const_array(mfi);
                detJ_arr = detJ.const_array(mfi);
            }
        } else {
            ax_arr   = ax.const_array(mfi);
            ay_arr   = ay.const_array(mfi);
            az_arr   = az.const_array(mfi);
            detJ_arr = detJ.const_array(mfi);
        }
 
        int icomp = RhoTheta_comp; int ncomp = 1;
        if (!l_eb_terrain_cc){
            AdvectionSrcForRho( bx, cell_rhs,
                                rho_u, rho_v, omega_arr,      // these are being used to build the fluxes
                                avg_xmom_arr, avg_ymom_arr, avg_zmom_arr, // these are being defined from the fluxes
                                ax_arr, ay_arr, az_arr, detJ_arr,
                                dxInv, mf_mx, mf_my, mf_uy, mf_vx,
                                flx_arr, l_fixed_rho);
            AdvectionSrcForScalars(bx, icomp, ncomp,
                                avg_xmom_arr, avg_ymom_arr, avg_zmom_arr,
                                cell_prim, cell_rhs,
                                detJ_arr, dxInv, mf_mx, mf_my,
                                l_horiz_adv_type, l_vert_adv_type,
                                l_horiz_upw_frac, l_vert_upw_frac,
                                flx_arr, domain, bc_ptr_h);
        } else {
            EBAdvectionSrcForRho(bx, cell_rhs,
                                rho_u, rho_v, omega_arr,
                                avg_xmom_arr, avg_ymom_arr, avg_zmom_arr,
                                mask_arr, cfg_arr,
                                ax_arr, ay_arr, az_arr,
                                fcx_arr, fcy_arr, fcz_arr, detJ_arr,
                                dxInv, mf_mx, mf_my, mf_uy, mf_vx,
                                flx_arr, l_fixed_rho,
                                already_on_centroids);
            EBAdvectionSrcForScalars(bx, icomp, ncomp,
                                avg_xmom_arr, avg_ymom_arr, avg_zmom_arr,
                                cell_prim, cell_rhs,
                                mask_arr, cfg_arr, ax_arr, ay_arr, az_arr,
                                fcx_arr, fcy_arr, fcz_arr,
                                detJ_arr, dxInv, mf_mx, mf_my,
                                l_horiz_adv_type, l_vert_adv_type,
                                l_horiz_upw_frac, l_vert_upw_frac,
                                flx_arr, domain, bc_ptr_h,
                                already_on_centroids);
        }
 
        if (l_use_diff) {
            Array4<Real> diffflux_x = dflux_x->array(mfi);
            Array4<Real> diffflux_y = dflux_y->array(mfi);
            Array4<Real> diffflux_z = dflux_z->array(mfi);
 
            Array4<Real> hfx_x = Hfx1->array(mfi);
            Array4<Real> hfx_y = Hfx2->array(mfi);
            Array4<Real> hfx_z = Hfx3->array(mfi);
            Array4<Real> hfx_EB{};
            if (l_use_eb) {
                hfx_EB = Hfx3_EB->array(mfi);
            }
 
            Array4<Real> q1fx_x = (Q1fx1) ? Q1fx1->array(mfi) : Array4<Real>{};
            Array4<Real> q1fx_y = (Q1fx2) ? Q1fx2->array(mfi) : Array4<Real>{};
            Array4<Real> q1fx_z = (Q1fx3) ? Q1fx3->array(mfi) : Array4<Real>{};
 
            Array4<Real> q2fx_z = (Q2fx3) ? Q2fx3->array(mfi) : Array4<Real>{};
 
            // NOTE: No diffusion for continuity, so n starts at one
            int n_start = RhoTheta_comp;
            int n_comp  = 1;
 
            // For l_vert_implicit_fac > 0, we scale the rho*theta contribution
            // by (1 - implicit_fac) and add in the implicit contribution with
            // ERF_Implicit.H
            if (l_use_stretched_dz) {
                DiffusionSrcForState_S(bx, domain, n_start, n_comp,
                                       cell_data, cell_prim, cell_rhs,
                                       diffflux_x, diffflux_y, diffflux_z,
                                       stretched_dz_d, dxInv,
                                       mf_mx, mf_ux, mf_vx,
                                       mf_my, mf_uy, mf_vy,
                                       hfx_x, hfx_y, hfx_z, q1fx_x, q1fx_y, q1fx_z, q2fx_z,
                                       mu_turb, solverChoice, level,
                                       bc_ptr_d, l_apply_surface_layer_fluxes_in_diffusion, SurfLayer, l_vert_implicit_fac,
                                       l_reflux_diffusion);
            } else if (l_use_terrain_fitted_coords) {
                DiffusionSrcForState_T(bx, domain, n_start, n_comp, l_rotate,
                                       cell_data, cell_prim, cell_rhs,
                                       diffflux_x, diffflux_y, diffflux_z,
                                       z_nd, z_cc, ax_arr, ay_arr, az_arr, detJ_arr,
                                       dxInv,
                                       mf_mx, mf_ux, mf_vx,
                                       mf_my, mf_uy, mf_vy,
                                       hfx_x, hfx_y, hfx_z, q1fx_x, q1fx_y, q1fx_z, q2fx_z,
                                       mu_turb, solverChoice, level,
                                       bc_ptr_d, bc_ptr_h, l_apply_surface_layer_fluxes_in_diffusion, SurfLayer, l_vert_implicit_fac,
                                       l_reflux_diffusion);
            } else if (l_use_eb) {
                DiffusionSrcForState_EB(bx, domain, n_start, n_comp, u, v,
                                       cell_data, cell_prim, cell_rhs,
                                       diffflux_x, diffflux_y, diffflux_z,
                                       cfg_arr, ax_arr, ay_arr, az_arr, detJ_arr,
                                       barea_arr, bcent_arr,
                                       dx, dxInv,
                                       hfx_z, q1fx_z, q2fx_z, hfx_EB,
                                       mu_turb, solverChoice, level,
                                       bc_ptr_d, l_apply_surface_layer_fluxes_in_diffusion, SurfLayer);
            } else {
                DiffusionSrcForState_N(bx, domain, n_start, n_comp, u, v,
                                       cell_data, cell_prim, cell_rhs,
                                       diffflux_x, diffflux_y, diffflux_z,
                                       dxInv,
                                       mf_mx, mf_ux, mf_vx,
                                       mf_my, mf_uy, mf_vy,
                                       hfx_x, hfx_y, hfx_z, q1fx_x, q1fx_y, q1fx_z, q2fx_z,
                                       mu_turb, solverChoice, level,
                                       bc_ptr_d, l_apply_surface_layer_fluxes_in_diffusion, SurfLayer, l_vert_implicit_fac,
                                       l_reflux_diffusion,
                                       (ib_wall_face33) ? ib_wall_face33->const_array(mfi) : Array4<const Real>{},
                                       (ib_wall_hfx)    ? ib_wall_hfx->const_array(mfi)    : Array4<const Real>{});
            }
            if (use_physical_chamber_wall_flux) {
                erf_cloud_chamber_wall_flux::apply(
                    bx, domain, RhoTheta_comp, 0, cell_data, cell_prim,
                    cloud_chamber_base_state->const_array(mfi), u, v, w, cell_rhs,
                    diffflux_x, diffflux_y, diffflux_z, dxInv,
                    chamber_walls, dc.alpha_T, dc.alpha_C,
                    solverChoice.rdOcp, cloud_chamber_config->has_moisture);
            }
        }
 
        const Array4<Real const>& source_arr   = cc_src.const_array(mfi);
        ParallelFor(bx, [=] AMREX_GPU_DEVICE (int i, int j, int k) noexcept
        {
            cell_rhs(i,j,k,Rho_comp)      += source_arr(i,j,k,Rho_comp);
            cell_rhs(i,j,k,RhoTheta_comp) += source_arr(i,j,k,RhoTheta_comp);
        });
 
        Real half_dt = static_cast<Real>(myhalf/dt);
 
        // If anelastic and in second RK stage, take average of old-time and new-time source
        if ( l_anelastic && l_anelastic_rk2 && (nrk == 1) )
        {
            ParallelFor(bx, [=] AMREX_GPU_DEVICE (int i, int j, int k) noexcept
            {
                cell_rhs(i,j,k,     Rho_comp) *= myhalf;
                cell_rhs(i,j,k,RhoTheta_comp) *= myhalf;
 
                cell_rhs(i,j,k,     Rho_comp) += half_dt * (cell_data(i,j,k,     Rho_comp) - cell_old(i,j,k,     Rho_comp));
                cell_rhs(i,j,k,RhoTheta_comp) += half_dt * (cell_data(i,j,k,RhoTheta_comp) - cell_old(i,j,k,RhoTheta_comp));
            });
        }
 
        // *****************************************************************************
        // Define updates in the RHS of {x, y, z}-momentum equations
        // *****************************************************************************
        int lo_z_face = domain.smallEnd(2);
        int hi_z_face = domain.bigEnd(2)+1;
 
        AdvectionSrcForMom(mfi, tbx, tby, tbz, tbx_grown, tby_grown, tbz_grown,
                           rho_u_rhs, rho_v_rhs, rho_w_rhs,
                           cell_data, u, v, w,
                           rho_u, rho_v, omega_arr,
                           z_nd, ax_arr, ay_arr, az_arr,
                           detJ_arr, stretched_dz_d,
                           dxInv, mf_mx, mf_ux, mf_vx, mf_my, mf_uy, mf_vy,
                           l_horiz_adv_type, l_vert_adv_type,
                           l_horiz_upw_frac, l_vert_upw_frac,
                           solverChoice.mesh_type, solverChoice.terrain_type,
                           ebfact, flx_u_arr, flx_v_arr, flx_w_arr,
                           physbnd_mask, already_on_centroids,
                           lo_z_face, hi_z_face, domain, bc_ptr_h);
 
        if (l_use_diff) {
            if (!l_use_eb && use_physical_chamber_wall_flux &&
                erf_cloud_chamber_wall_stress::has_momentum_wall(chamber_walls)) {
                erf_cloud_chamber_wall_stress::apply(
                    bx, domain, cell_data,
                    cloud_chamber_base_state->const_array(mfi), u, v, w,
                    tau12, tau13, tau23, dxInv, chamber_walls,
                    solverChoice.rdOcp, cloud_chamber_config->has_moisture);
            }
 
            // Note: tau** were calculated with calls to
            // ComputeStress[Cons|Var]Visc_[N|S|T] in which ConsVisc ("constant
            // viscosity") means that there is no contribution from a
            // turbulence model. However, whether this field truly is constant
            // depends on whether MolecDiffType is Constant or ConstantAlpha.
            if (!l_use_eb) {
                DiffusionSrcForMom(tbx, tby, tbz,
                    rho_u_rhs, rho_v_rhs, rho_w_rhs,
                    tau11, tau22, tau33,
                    tau12, tau21, tau13, tau31, tau23, tau32,
                    detJ_arr, stretched_dz_d, dxInv,
                    mf_mx, mf_ux, mf_vx,
                    mf_my, mf_uy, mf_vy,
                    l_use_stretched_dz,
                    l_use_terrain_fitted_coords);
            } else {
                DiffusionSrcForMom_EB(mfi, domain, tbx, tby, tbz,
                    rho_u_rhs, rho_v_rhs, rho_w_rhs,
                    u, v, w,
                    tau11, tau22, tau33,
                    tau12, tau13, tau23,
                    u_tau_eb13, u_tau_eb23, v_tau_eb13, v_tau_eb23, w_tau_eb13, w_tau_eb23,
                    dx, dxInv,
                    mf_mx, mf_ux, mf_vx,
                    mf_my, mf_uy, mf_vy,
                    solverChoice, ebfact, bc_ptr_d);
            }
        }
 
        auto abl_pressure_grad    = solverChoice.abl_pressure_grad;
 
        ParallelFor(tbx, tby,
        [=] AMREX_GPU_DEVICE (int i, int j, int k)
        { // x-momentum equation
 
            // Note that gradp arrays now carry the map factor in them
 
            Real q = (l_use_moisture) ? myhalf * (qt_arr(i,j,k) + qt_arr(i-1,j,k)) : zero;
 
            rho_u_rhs(i, j, k) += (-gpx_arr(i,j,k) - abl_pressure_grad[0]) / (one + q) + xmom_src_arr(i,j,k);
 
            if (l_moving_terrain) {
                Real h_zeta = Compute_h_zeta_AtIface(i, j, k, dxInv, z_nd);
                rho_u_rhs(i, j, k) *= h_zeta;
            }
 
            if ( l_anelastic && l_anelastic_rk2 && (nrk == 1) ) {
                rho_u_rhs(i,j,k) *= myhalf;
                rho_u_rhs(i,j,k) += half_dt * (rho_u(i,j,k) - rho_u_old(i,j,k));
            }
        },
        [=] AMREX_GPU_DEVICE (int i, int j, int k)
        { // y-momentum equation
 
            // Note that gradp arrays now carry the map factor in them
 
            Real q = (l_use_moisture) ? myhalf * (qt_arr(i,j,k) + qt_arr(i,j-1,k)) : zero;
 
            rho_v_rhs(i, j, k) += (-gpy_arr(i,j,k) - abl_pressure_grad[1]) / (one + q) + ymom_src_arr(i,j,k);
 
            if (l_moving_terrain) {
                Real h_zeta = Compute_h_zeta_AtJface(i, j, k, dxInv, z_nd);
                rho_v_rhs(i, j, k) *= h_zeta;
            }
 
            if ( l_anelastic && l_anelastic_rk2 && (nrk == 1) ) {
                rho_v_rhs(i,j,k) *= myhalf;
                rho_v_rhs(i,j,k) += half_dt * (rho_v(i,j,k) - rho_v_old(i,j,k));
            }
        });
 
        // *****************************************************************************
        // Zero out source terms for x- and y- momenta if at walls or inflow
        // We need to do this -- even though we call the boundary conditions later --
        // because the slow source is used to update the state in the fast interpolater.
        // *****************************************************************************
        if (bx.smallEnd(0) == domain.smallEnd(0)) {
            Box lo_x_dom_face(bx); lo_x_dom_face.setBig(0,bx.smallEnd(0));
            if (bc_ptr_h[BCVars::xvel_bc].lo(0) == ERFBCType::ext_dir) {
                ParallelFor(lo_x_dom_face, [=] AMREX_GPU_DEVICE (int i, int j, int k) {
                    rho_u_rhs(i,j,k) = zero;
                });
            } else if (bc_ptr_h[BCVars::xvel_bc].lo(0) == ERFBCType::ext_dir_upwind) {
                ParallelFor(lo_x_dom_face, [=] AMREX_GPU_DEVICE (int i, int j, int k) {
                    if (u(i,j,k) >= zero) {
                        rho_u_rhs(i,j,k) = zero;
                    }
                });
            }
        }
        if (bx.bigEnd(0) == domain.bigEnd(0)) {
            Box hi_x_dom_face(bx); hi_x_dom_face.setSmall(0,bx.bigEnd(0)+1); hi_x_dom_face.setBig(0,bx.bigEnd(0)+1);
            if (bc_ptr_h[BCVars::xvel_bc].hi(0) == ERFBCType::ext_dir) {
                ParallelFor(hi_x_dom_face, [=] AMREX_GPU_DEVICE (int i, int j, int k) {
                    rho_u_rhs(i,j,k) = zero;
                });
            } else if (bc_ptr_h[BCVars::xvel_bc].hi(0) == ERFBCType::ext_dir_upwind) {
                ParallelFor(hi_x_dom_face, [=] AMREX_GPU_DEVICE (int i, int j, int k) {
                    if (u(i,j,k) <= zero) {
                        rho_u_rhs(i,j,k) = zero;
                    }
                });
            }
        }
        if (bx.smallEnd(1) == domain.smallEnd(1)) {
            Box lo_y_dom_face(bx); lo_y_dom_face.setBig(1,bx.smallEnd(1));
            if (bc_ptr_h[BCVars::yvel_bc].lo(1) == ERFBCType::ext_dir) {
                ParallelFor(lo_y_dom_face, [=] AMREX_GPU_DEVICE (int i, int j, int k) {
                    rho_v_rhs(i,j,k) = zero;
                });
            } else if (bc_ptr_h[BCVars::yvel_bc].lo(1) == ERFBCType::ext_dir_upwind) {
                ParallelFor(lo_y_dom_face, [=] AMREX_GPU_DEVICE (int i, int j, int k) {
                    if (v(i,j,k) >= zero) {
                        rho_v_rhs(i,j,k) = zero;
                    }
                });
            }
        }
        if (bx.bigEnd(1) == domain.bigEnd(1)) {
            Box hi_y_dom_face(bx); hi_y_dom_face.setSmall(1,bx.bigEnd(1)+1); hi_y_dom_face.setBig(1,bx.bigEnd(1)+1);
            if (bc_ptr_h[BCVars::yvel_bc].hi(1) == ERFBCType::ext_dir) {
                ParallelFor(hi_y_dom_face, [=] AMREX_GPU_DEVICE (int i, int j, int k) {
                    rho_v_rhs(i,j,k) = zero;
                });
            } else if (bc_ptr_h[BCVars::yvel_bc].hi(1) == ERFBCType::ext_dir_upwind) {
                ParallelFor(hi_y_dom_face, [=] AMREX_GPU_DEVICE (int i, int j, int k) {
                    if (v(i,j,k) <= zero) {
                        rho_v_rhs(i,j,k) = zero;
                    }
                });
            }
        }
 
        ParallelFor(tbz, [=] AMREX_GPU_DEVICE (int i, int j, int k)
        { // z-momentum equation
 
            Real gpz = gpz_arr(i,j,k);
 
            rho_w_rhs(i, j, k) += slow_rhs_pre_z_pressure_buoyancy(
                qt_arr, i, j, k, l_use_moisture, gpz, abl_pressure_grad[2],
                buoyancy_arr(i,j,k)) + zmom_src_arr(i,j,k);
 
            if (l_moving_terrain) {
                 rho_w_rhs(i, j, k) *= myhalf * (detJ_arr(i,j,k) + detJ_arr(i,j,k-1));
            }
 
            if ( l_anelastic && l_anelastic_rk2 && (nrk == 1) ) {
                rho_w_rhs(i,j,k) *= myhalf;
                rho_w_rhs(i,j,k) += half_dt * (rho_w(i,j,k) - rho_w_old(i,j,k));
            }
        });
 
        auto const lo = lbound(bx);
        auto const hi = ubound(bx);
 
        // Note: the logic below assumes no tiling in z!
        if (level > 0) {
 
            const Array4<const Real>& rho_w_rhs_crse = zmom_crse_rhs->const_array(mfi);
 
            Box b2d = bx; b2d.setRange(2,0);
 
            if (lo.z > klo) {
                ParallelFor(b2d, [=] AMREX_GPU_DEVICE (int i, int j, int ) // bottom of box but not of domain
                {
                    rho_w_rhs(i,j,lo.z) = rho_w_rhs_crse(i,j,lo.z);
                });
            }
 
            if (hi.z < khi+1) {
                ParallelFor(b2d, [=] AMREX_GPU_DEVICE (int i, int j, int ) // top of box but not of domain
                {
                    rho_w_rhs(i,j,hi.z+1) = rho_w_rhs_crse(i,j,hi.z+1);
                });
            }
        }
 
        {
        BL_PROFILE("slow_rhs_pre_fluxreg");
        // We add to the flux registers only in the stages whose fluxes the step's update applies,
        // weighted as in that update (RefluxStageWeight)
        // On anelastic levels we reflux (rho theta); the density is fixed so there is no density flux.
        //       Compressible levels do not reflux either rho or (rho theta) (see ERF::post_timestep).
        // The flux components are indexed by conserved state component, which is why srccomp and
        //       destcomp below are both the state component being refluxed.
        if (l_reflux && l_anelastic) {
            int strt_comp_reflux = RhoTheta_comp;
            int  num_comp_reflux = 1;
            if (level < finest_level) {
                fr_as_crse->CrseAdd(mfi, {{AMREX_D_DECL(&(flux[0]), &(flux[1]), &(flux[2]))}},
                                    dx, l_reflux_dt, strt_comp_reflux, strt_comp_reflux,
                                    num_comp_reflux, RunOn::Device);
            }
            if (level > 0) {
                fr_as_fine->FineAdd(mfi, {{AMREX_D_DECL(&(flux[0]), &(flux[1]), &(flux[2]))}},
                                    dx, l_reflux_dt, strt_comp_reflux, strt_comp_reflux,
                                    num_comp_reflux, RunOn::Device);
            }
 
        } // two-way coupling
        } // end profile
    } // mfi
    } // OMP
    if (cloud_budget && l_use_diff) {
        bool use_trapezoidal = (!l_anelastic || l_anelastic_rk2);
        cloud_budget->capture_stage(CloudChamberBudget::RhoTheta, nrk,
                                    static_cast<Real>(dt), *dflux_x, *dflux_y,
                                    *dflux_z, geom, 0, use_trapezoidal);
    }
}

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