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Spatial_euler3d_cons_expl_cart_fv_Agrid.h
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Spatial_euler3d_cons_expl_cart_fv_Agrid.h
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#pragma once
#include "const.h"
#include "phys_params.h"
#include "TransformMatrices.h"
#include "WenoLimiter.h"
#include "Profiles.h"
#define NO_TRACERS
template <int nTimeDerivs, bool timeAvg, int nAder> class Spatial_euler3d_cons_expl_cart_fv_Agrid {
public:
static_assert(nTimeDerivs == 1 , "ERROR: This Spatial class isn't setup to use nTimeDerivs > 1");
Spatial_euler3d_cons_expl_cart_fv_Agrid() {
numTracers = 0;
}
int static constexpr hs = (ord-1)/2;
int static constexpr numState = 5;
// Stores a single index location
struct Location {
int l;
int k;
int j;
int i;
};
typedef real4d StateArr; // Spatial index
typedef real4d TracerArr; // Spatial index
typedef real4d StateTendArr; // (time derivative & spatial index)
typedef real4d TracerTendArr; // (time derivative & spatial index)
real5d stateLimits;
real5d tracerLimits;
real4d stateFlux;
real4d tracerFlux;
// Hydrostatically balanced values for density, potential temperature, and pressure
real1d hyDensCells;
real1d hyPressureCells;
real1d hyThetaCells;
real1d hyDensThetaCells;
real2d hyDensGLL;
real2d hyPressureGLL;
real2d hyThetaGLL;
real2d hyDensThetaGLL;
// Matrices to transform DOFs from one form to another
SArray<real,2,ord,ngll> coefs_to_gll;
SArray<real,2,ord,ngll> coefs_to_deriv_gll;
SArray<real,2,ord,ngll> sten_to_gll;
SArray<real,2,ord,ngll> sten_to_deriv_gll;
SArray<real,3,ord,ord,ord> wenoRecon;
SArray<real,1,hs+2> idl;
real sigma;
// For ADER spatial derivative computation
SArray<real,2,ngll,ngll> derivMatrix;
// For quadrature
SArray<real,1,ord> gllWts_ord;
SArray<real,1,ord> gllPts_ord;
SArray<real,1,ngll> gllWts_ngll;
SArray<real,1,ngll> gllPts_ngll;
int static constexpr idR = 0; // density perturbation
int static constexpr idU = 1; // u
int static constexpr idV = 2; // v
int static constexpr idW = 3; // w
int static constexpr idT = 4; // potential temperature perturbation
int static constexpr BC_PERIODIC = 0;
int static constexpr BC_WALL = 1;
int static constexpr DATA_SPEC_THERMAL = 1;
int static constexpr DATA_SPEC_COLLISION = 2;
int static constexpr DATA_SPEC_STRAKA = 3;
int static constexpr DATA_SPEC_IGW = 4;
bool sim2d;
bool perturb;
real dx;
real dy;
real dz;
real dtInit;
bool dimSwitch;
int numTracers;
std::vector<std::string> tracerName;
std::vector<std::string> tracerDesc;
std::vector<bool> tracerPosVect;
bool1d tracerPos;
// Values read from input file
int nx;
int ny;
int nz;
real xlen;
real ylen;
real zlen;
int bc_x;
int bc_y;
int bc_z;
bool weno_scalars;
bool weno_winds;
std::string outFile;
int dataSpec;
static_assert(ord%2 == 1,"ERROR: ord must be an odd integer");
void addTracer(std::string name , bool posDef = true , std::string desc = "" ) {
tracerName .push_back(name );
tracerDesc .push_back(desc );
tracerPosVect.push_back(posDef);
}
StateArr createStateArr() {
return StateArr("stateArr",numState,nz+2*hs,ny+2*hs,nx+2*hs);
}
TracerArr createTracerArr() {
return StateArr("stateArr",numTracers,nz+2*hs,ny+2*hs,nx+2*hs);
}
StateTendArr createStateTendArr() {
return StateTendArr("stateTendArr",numState,nz,ny,nx);
}
TracerTendArr createTracerTendArr() {
return TracerTendArr("tracerTendArr",numTracers,nz,ny,nx);
}
int numSplit() {
return 3;
}
real computeTimeStep(real cfl, StateArr const &state) {
auto &hyDensCells = this->hyDensCells ;
auto &hyDensThetaCells = this->hyDensThetaCells ;
auto &dx = this->dx ;
auto &dy = this->dy ;
auto &dz = this->dz ;
if (dtInit <= 0) {
real maxwave = 0;
real3d dt3d("dt3d",nz,ny,nx);
parallel_for( SimpleBounds<3>(nz,ny,nx) , YAKL_LAMBDA (int k, int j, int i) {
real r = state(idR,hs+k,hs+j,hs+i) + hyDensCells(hs+k);
real u = state(idU,hs+k,hs+j,hs+i) / r;
real v = state(idV,hs+k,hs+j,hs+i) / r;
real w = state(idW,hs+k,hs+j,hs+i) / r;
real t = ( state(idT,hs+k,hs+j,hs+i) + hyDensThetaCells(hs+k) ) / r;
real p = C0*pow(r*t,GAMMA);
real cs = sqrt(GAMMA*p/r);
real udt = cfl * dx / max( abs(u-cs) , abs(u+cs) );
real vdt = cfl * dy / max( abs(v-cs) , abs(v+cs) );
real wdt = cfl * dz / max( abs(w-cs) , abs(w+cs) );
dt3d(k,j,i) = min( min(udt,vdt) , wdt );
});
yakl::ParallelMin<real,memDevice> pmin(nz*nx*ny);
dtInit = pmin(dt3d.data());
}
return dtInit;
}
// Initialize crap needed by recon()
void init(std::string inFile) {
dtInit = 0;
dimSwitch = true;
// Read the input file
YAML::Node config = YAML::LoadFile(inFile);
if ( !config ) { endrun("ERROR: Invalid YAML input file"); }
if ( !config["nx"] ) { endrun("ERROR: No nx in input file"); }
if ( !config["ny"] ) { endrun("ERROR: No ny in input file"); }
if ( !config["nz"] ) { endrun("ERROR: No nz in input file"); }
if ( !config["xlen"] ) { endrun("ERROR: No xlen in input file"); }
if ( !config["ylen"] ) { endrun("ERROR: No ylen in input file"); }
if ( !config["zlen"] ) { endrun("ERROR: No zlen in input file"); }
if ( !config["bc_x"] ) { endrun("ERROR: No bc_x in input file"); }
if ( !config["bc_y"] ) { endrun("ERROR: No bc_y in input file"); }
if ( !config["bc_z"] ) { endrun("ERROR: No bc_z in input file"); }
if ( !config["weno_scalars"] ) { endrun("ERROR: No weno_scalars in input file"); }
if ( !config["weno_winds"] ) { endrun("ERROR: No weno_winds in input file"); }
if ( !config["initData"] ) { endrun("ERROR: No initData in input file"); }
if ( !config["outFile"] ) { endrun("ERROR: No outFile in input file"); }
nx = config["nx"].as<int>();
ny = config["ny"].as<int>();
nz = config["nz"].as<int>();
sim2d = ny == 1;
xlen = config["xlen"].as<real>();
ylen = config["ylen"].as<real>();
zlen = config["zlen"].as<real>();
weno_scalars = config["weno_scalars"].as<bool>();
weno_winds = config["weno_winds"].as<bool>();
std::string dataStr = config["initData"].as<std::string>();
if (dataStr == "thermal") {
dataSpec = DATA_SPEC_THERMAL;
} else if (dataStr == "collision") {
dataSpec = DATA_SPEC_COLLISION;
} else if (dataStr == "straka") {
dataSpec = DATA_SPEC_STRAKA;
} else if (dataStr == "igw") {
dataSpec = DATA_SPEC_IGW;
} else {
endrun("ERROR: Invalid dataSpec");
}
std::string bc_x_str = config["bc_x"].as<std::string>();
if (bc_x_str == "periodic" ) {
bc_x = BC_PERIODIC;
} else if (bc_x_str == "wall" ) {
bc_x = BC_WALL;
} else {
endrun("Invalid bc_x");
}
std::string bc_y_str = config["bc_y"].as<std::string>();
if (bc_y_str == "periodic" ) {
bc_y = BC_PERIODIC;
} else if (bc_y_str == "wall" ) {
bc_y = BC_WALL;
} else {
endrun("Invalid bc_y");
}
std::string bc_z_str = config["bc_z"].as<std::string>();
if (bc_z_str == "periodic" ) {
bc_z = BC_PERIODIC;
} else if (bc_z_str == "wall" ) {
bc_z = BC_WALL;
} else {
endrun("Invalid bc_z");
}
outFile = config["outFile"].as<std::string>();
dx = xlen/nx;
dy = ylen/ny;
dz = zlen/nz;
perturb = config["perturb"].as<bool>();
TransformMatrices::weno_sten_to_coefs(this->wenoRecon);
// Store to_gll and wenoRecon
{
using yakl::intrinsics::matmul_cr;
SArray<real,2,ord,ord> g2c;
SArray<real,2,ord,ord> s2c;
SArray<real,2,ord,ngll> c2g_lower;
SArray<real,2,ord,ord> c2g;
SArray<real,2,ord,ord> c2d;
TransformMatrices::gll_to_coefs (g2c );
TransformMatrices::sten_to_coefs (s2c );
TransformMatrices::coefs_to_gll_lower(c2g_lower);
TransformMatrices::coefs_to_gll (c2g );
TransformMatrices::coefs_to_deriv (c2d );
this->coefs_to_gll = c2g_lower;
this->coefs_to_deriv_gll = matmul_cr( c2g_lower , c2d );
this->sten_to_gll = matmul_cr( c2g_lower , s2c );
this->sten_to_deriv_gll = matmul_cr( matmul_cr( c2g_lower , c2d ) , s2c );
}
// Store ader derivMatrix
{
using yakl::intrinsics::matmul_cr;
SArray<real,2,ngll,ngll> g2c;
SArray<real,2,ngll,ngll> c2d;
SArray<real,2,ngll,ngll> c2g;
TransformMatrices::gll_to_coefs (g2c);
TransformMatrices::coefs_to_deriv(c2d);
TransformMatrices::coefs_to_gll (c2g);
this->derivMatrix = matmul_cr( c2g , matmul_cr( c2d , g2c ) );
}
TransformMatrices::get_gll_points (this->gllPts_ord);
TransformMatrices::get_gll_weights(this->gllWts_ord);
TransformMatrices::get_gll_points (this->gllPts_ngll);
TransformMatrices::get_gll_weights(this->gllWts_ngll);
weno::wenoSetIdealSigma(this->idl,this->sigma);
// Get the number of tracers from the tracer std::vector variables
numTracers = tracerName.size();
// Setup tracerPos for use on the device
tracerPos = bool1d("tracerPos",numTracers);
boolHost1d tracerPosHost("tracerPosHost",numTracers);
for (int i=0; i < numTracers; i++) {
tracerPosHost(i) = tracerPosVect[i];
}
tracerPosHost.deep_copy_to(tracerPos);
stateLimits = real5d("stateLimits" ,numState ,2,nz+1,ny+1,nx+1);
tracerLimits = real5d("tracerLimits",numTracers,2,nz+1,ny+1,nx+1);
stateFlux = real4d("stateFlux" ,numState ,nz+1,ny+1,nx+1);
tracerFlux = real4d("tracerFlux" ,numTracers ,nz+1,ny+1,nx+1);
hyDensCells = real1d("hyDensCells ",nz+2*hs);
hyPressureCells = real1d("hyPressureCells ",nz+2*hs);
hyThetaCells = real1d("hyThetaCells ",nz+2*hs);
hyDensThetaCells = real1d("hyDensThetaCells ",nz+2*hs);
hyDensGLL = real2d("hyDensGLL ",nz,ngll);
hyPressureGLL = real2d("hyPressureGLL ",nz,ngll);
hyThetaGLL = real2d("hyThetaGLL ",nz,ngll);
hyDensThetaGLL = real2d("hyDensThetaGLL ",nz,ngll);
}
// Initialize the state
void initState( StateArr &state ) {
auto nx = this->nx ;
auto ny = this->ny ;
auto nz = this->nz ;
auto dx = this->dx ;
auto dy = this->dy ;
auto dz = this->dz ;
auto gllPts_ord = this->gllPts_ord ;
auto gllWts_ord = this->gllWts_ord ;
auto gllPts_ngll = this->gllPts_ngll ;
auto gllWts_ngll = this->gllWts_ngll ;
auto &hyDensCells = this->hyDensCells ;
auto &hyThetaCells = this->hyThetaCells ;
auto &hyPressureCells = this->hyPressureCells ;
auto &hyDensThetaCells = this->hyDensThetaCells ;
auto &hyDensGLL = this->hyDensGLL ;
auto &hyThetaGLL = this->hyThetaGLL ;
auto &hyPressureGLL = this->hyPressureGLL ;
auto &hyDensThetaGLL = this->hyDensThetaGLL ;
auto &dataSpec = this->dataSpec ;
auto &sim2d = this->sim2d ;
auto &xlen = this->xlen ;
auto &ylen = this->ylen ;
auto &zlen = this->zlen ;
// Setup hydrostatic background state
parallel_for( SimpleBounds<1>(nz+2*hs) , YAKL_LAMBDA (int k) {
// Compute cell averages
hyDensCells (k) = 0;
hyPressureCells (k) = 0;
hyThetaCells (k) = 0;
hyDensThetaCells(k) = 0;
for (int kk=0; kk<ord; kk++) {
real zloc = (k-hs+0.5_fp)*dz + gllPts_ord(kk)*dz;
real th, rh, ph;
if (dataSpec == DATA_SPEC_THERMAL || dataSpec == DATA_SPEC_COLLISION ||
dataSpec == DATA_SPEC_STRAKA) {
// Compute constant theta hydrostatic background state
th = 300;
rh = profiles::initConstTheta_density (th,zloc);
ph = profiles::initConstTheta_pressure(th,zloc);
} else if (dataSpec == DATA_SPEC_IGW) {
// Compute constant theta hydrostatic background state
real constexpr bvf = 0.01_fp;
real constexpr t0 = 300;
th = profiles::initConstBVF_pot_temp(t0,bvf,zloc);
rh = profiles::initConstBVF_density (t0,bvf,zloc);
ph = profiles::initConstBVF_pressure(t0,bvf,zloc);
}
real wt = gllWts_ord(kk);
hyDensCells (k) += rh * wt;
hyThetaCells (k) += th * wt;
hyDensThetaCells(k) += rh*th * wt;
hyPressureCells (k) += ph * wt;
}
});
parallel_for( SimpleBounds<1>(nz) , YAKL_LAMBDA (int k) {
// Compute ngll GLL points
for (int kk=0; kk<ngll; kk++) {
real zloc = (k+0.5_fp)*dz + gllPts_ngll(kk)*dz;
real th, rh, ph;
if (dataSpec == DATA_SPEC_THERMAL || dataSpec == DATA_SPEC_COLLISION ||
dataSpec == DATA_SPEC_STRAKA) {
// Compute constant theta hydrostatic background state
th = 300;
rh = profiles::initConstTheta_density (th,zloc);
ph = profiles::initConstTheta_pressure(th,zloc);
} else if (dataSpec == DATA_SPEC_IGW) {
// Compute constant theta hydrostatic background state
real constexpr bvf = 0.01_fp;
real constexpr t0 = 300;
th = profiles::initConstBVF_pot_temp(t0,bvf,zloc);
rh = profiles::initConstBVF_density (t0,bvf,zloc);
ph = profiles::initConstBVF_pressure(t0,bvf,zloc);
}
hyDensGLL (k,kk) = rh;
hyThetaGLL (k,kk) = th;
hyDensThetaGLL(k,kk) = rh*th;
hyPressureGLL (k,kk) = ph;
}
});
// Compute the state
parallel_for( SimpleBounds<3>(nz,ny,nx) , YAKL_LAMBDA (int k, int j, int i) {
for (int l=0; l < numState; l++) {
state(l,hs+k,hs+j,hs+i) = 0;
}
for (int kk=0; kk<ord; kk++) {
for (int jj=0; jj<ord; jj++) {
for (int ii=0; ii<ord; ii++) {
real zloc = (k+0.5_fp)*dz + gllPts_ord(kk)*dz;
real yloc;
if (sim2d) {
yloc = ylen/2;
} else {
yloc = (j+0.5_fp)*dy + gllPts_ord(jj)*dy;
}
real xloc = (i+0.5_fp)*dx + gllPts_ord(ii)*dx;
real wt = gllWts_ord(kk) * gllWts_ord(jj) * gllWts_ord(ii);
if (dataSpec == DATA_SPEC_THERMAL) {
// Compute constant theta hydrostatic background state
real th = 300;
real rh = profiles::initConstTheta_density(th,zloc);
real tp = profiles::ellipsoid_linear(xloc, yloc, zloc, xlen/2, ylen/2, 2000, 2000, 2000, 2000, 2 );
real t = th + tp;
state(idT,hs+k,hs+j,hs+i) += (rh*t - rh*th) * wt;
} else if (dataSpec == DATA_SPEC_COLLISION) {
// Compute constant theta hydrostatic background state
real th = 300;
real rh = profiles::initConstTheta_density(th,zloc);
real tp;
tp = profiles::ellipsoid_linear(xloc, yloc, zloc, xlen/2, ylen/2, 2000, 2000, 2000, 2000, 20 );
tp += profiles::ellipsoid_linear(xloc, yloc, zloc, xlen/2, ylen/2, 8000, 2000, 2000, 2000, -20 );
real t = th + tp;
state(idT,hs+k,hs+j,hs+i) += (rh*t - rh*th) * wt;
} else if (dataSpec == DATA_SPEC_STRAKA) {
// Compute constant theta hydrostatic background state
real th = 300;
real rh = profiles::initConstTheta_density(th,zloc);
real tp;
tp = profiles::ellipsoid_cosine(xloc, yloc, zloc, xlen/2, ylen/2, 3000, 4000, 2000, 2000, -15 , 1 );
real t = th + tp;
state(idT,hs+k,hs+j,hs+i) += (rh*t - rh*th) * wt;
} else if (dataSpec == DATA_SPEC_IGW) {
if (sim2d) yloc = ylen / 3;
// Compute constant theta hydrostatic background state
real constexpr t0 = 300;
real constexpr bvf = 0.01;
real rh = profiles::initConstBVF_density (t0,bvf,zloc);
real th = profiles::initConstBVF_pot_temp(t0,bvf,zloc);
real tp;
tp = profiles::igw(xloc, yloc, zloc, xlen/3, ylen/3, 5000, zlen, 0.01);
real t = th + tp;
state(idT,hs+k,hs+j,hs+i) += (rh*t - rh*th) * wt;
state(idU,hs+k,hs+j,hs+i) += 20*rh * wt;
if (! sim2d) state(idV,hs+k,hs+j,hs+i) += 20*rh * wt;
}
}
}
}
});
// Perturb the state
if (perturb) {
auto state_host = state.createHostCopy();
for (int k=0; k < nz; k++) {
for (int j=0; j < ny; j++) {
for (int i=0; i < nx; i++) {
real rval = (real) rand() / (real) RAND_MAX;
state_host(idT,hs+k,hs+j,hs+i) *= 1._fp + rval * 1.e-7;
}
}
}
state_host.deep_copy_to(state);
}
}
// Initialize the state
void initTracers( TracerArr &tracers ) {
auto nx = this->nx ;
auto ny = this->ny ;
auto nz = this->nz ;
auto dx = this->dx ;
auto dy = this->dy ;
auto dz = this->dz ;
auto gllPts_ord = this->gllPts_ord ;
auto gllWts_ord = this->gllWts_ord ;
auto gllPts_ngll = this->gllPts_ngll ;
auto gllWts_ngll = this->gllWts_ngll ;
auto &sim2d = this->sim2d ;
auto &xlen = this->xlen ;
auto &ylen = this->ylen ;
auto &numTracers = this->numTracers ;
// Compute the state
parallel_for( SimpleBounds<3>(nz,ny,nx) , YAKL_LAMBDA (int k, int j, int i) {
for (int l=0; l < numTracers; l++) {
tracers(l,hs+k,hs+j,hs+i) = 0;
for (int kk=0; kk<ord; kk++) {
for (int jj=0; jj<ord; jj++) {
for (int ii=0; ii<ord; ii++) {
real zloc = (k+0.5_fp)*dz + gllPts_ord(kk)*dz;
real yloc;
if (sim2d) {
yloc = ylen/2;
} else {
yloc = (j+0.5_fp)*dy + gllPts_ord(jj)*dy;
}
real xloc = (i+0.5_fp)*dx + gllPts_ord(ii)*dx;
real wt = gllWts_ord(kk) * gllWts_ord(jj) * gllWts_ord(ii);
// Compute constant theta hydrostatic background state
real th = 300;
real rh = profiles::initConstTheta_density(th,zloc);
// Initialize tracers as rho*tracer / rho_h (rho_h is multiplied back onto GLL point values)
if (l == 0) {
tracers(l,hs+k,hs+j,hs+i) += rh * 1 * wt;
} else if (l == 1) {
real tval = profiles::ellipsoid_linear(xloc, yloc, zloc, xlen/2, ylen/2, 2000, 2000, 2000, 2000, 2 );
tracers(l,hs+k,hs+j,hs+i) += rh * tval * wt;
} else if (l == 2) {
bool insideBlock = k >= 1*nz/10 && k < 3*nz/10 &&
i >= 4*nx/10 && i < 6*nx/10;
if (! sim2d) { insideBlock = insideBlock && j >= 4*ny/10 && j < 6*ny/10; }
real tval = insideBlock ? 1 : 0;
tracers(l,hs+k,hs+j,hs+i) += rh * tval * wt;
}
}
}
}
}
});
}
// Compute state and tendency time derivatives from the state
void computeTendencies( StateArr &state , StateTendArr &stateTend ,
TracerArr &tracers , TracerTendArr &tracerTend ,
real &dt , int splitIndex ) {
if (dimSwitch) {
if (splitIndex == 0) {
computeTendenciesX( state , stateTend , tracers , tracerTend , dt );
} else if (splitIndex == 1) {
if (sim2d) {
memset(stateTend , 0._fp);
memset(tracerTend , 0._fp);
}
else { computeTendenciesY( state , stateTend , tracers , tracerTend , dt ); }
} else if (splitIndex == 2) {
computeTendenciesZ( state , stateTend , tracers , tracerTend , dt );
}
} else {
if (splitIndex == 0) {
computeTendenciesZ( state , stateTend , tracers , tracerTend , dt );
} else if (splitIndex == 1) {
if (sim2d) {
memset(stateTend , 0._fp);
memset(tracerTend , 0._fp);
}
else { computeTendenciesY( state , stateTend , tracers , tracerTend , dt ); }
} else if (splitIndex == 2) {
computeTendenciesX( state , stateTend , tracers , tracerTend , dt );
}
}
if (splitIndex == numSplit()-1) dimSwitch = ! dimSwitch;
} // computeTendencies
void computeTendenciesX( StateArr &state , StateTendArr &stateTend ,
TracerArr &tracers , TracerTendArr &tracerTend ,
real &dt ) {
auto &nx = this->nx ;
auto &weno_scalars = this->weno_scalars ;
auto &weno_winds = this->weno_winds ;
auto &c2g = this->coefs_to_gll ;
auto &s2g = this->sten_to_gll ;
auto &wenoRecon = this->wenoRecon ;
auto &idl = this->idl ;
auto &sigma = this->sigma ;
auto &hyDensCells = this->hyDensCells ;
auto &hyDensThetaCells = this->hyDensThetaCells ;
auto &sim2d = this->sim2d ;
auto &derivMatrix = this->derivMatrix ;
auto &dx = this->dx ;
auto &stateLimits = this->stateLimits ;
auto &tracerLimits = this->tracerLimits ;
auto &stateFlux = this->stateFlux ;
auto &tracerFlux = this->tracerFlux ;
auto &tracerPos = this->tracerPos ;
auto &numTracers = this->numTracers ;
auto &bc_x = this->bc_x ;
// Pre-process the tracers by dividing by density inside the domain
// After this, we can reconstruct tracers only (not rho * tracer)
#ifndef NO_TRACERS
parallel_for( SimpleBounds<4>(numTracers,nz,ny,nx) , YAKL_LAMBDA (int tr, int k, int j, int i) {
tracers(tr,hs+k,hs+j,hs+i) /= (state(idR,hs+k,hs+j,hs+i) + hyDensCells(hs+k));
});
#endif
// Populate the halos
if (bc_x == BC_PERIODIC) {
parallel_for( SimpleBounds<3>(nz,ny,hs) , YAKL_LAMBDA(int k, int j, int ii) {
for (int l=0; l < numState; l++) {
state (l,hs+k,hs+j, ii) = state (l,hs+k,hs+j,nx+ii);
state (l,hs+k,hs+j,hs+nx+ii) = state (l,hs+k,hs+j,hs+ii);
}
#ifndef NO_TRACERS
for (int l=0; l < numTracers; l++) {
tracers(l,hs+k,hs+j, ii) = tracers(l,hs+k,hs+j,nx+ii);
tracers(l,hs+k,hs+j,hs+nx+ii) = tracers(l,hs+k,hs+j,hs+ii);
}
#endif
});
} else if (bc_x == BC_WALL) {
parallel_for( SimpleBounds<3>(nz,ny,hs) , YAKL_LAMBDA(int k, int j, int ii) {
for (int l=0; l < numState; l++) {
if (l == idU) {
state(l,hs+k,hs+j, ii) = 0;
state(l,hs+k,hs+j,hs+nx+ii) = 0;
} else {
state (l,hs+k,hs+j, ii) = state (l,hs+k,hs+j,hs );
state (l,hs+k,hs+j,hs+nx+ii) = state (l,hs+k,hs+j,hs+nx-1);
}
}
#ifndef NO_TRACERS
for (int l=0; l < numTracers; l++) {
tracers(l,hs+k,hs+j, ii) = tracers(l,hs+k,hs+j,hs );
tracers(l,hs+k,hs+j,hs+nx+ii) = tracers(l,hs+k,hs+j,hs+nx-1);
}
#endif
});
}
// Loop through all cells, reconstruct in x-direction, compute centered tendencies, store cell-edge state estimates
parallel_for( SimpleBounds<3>(nz,ny,nx) , YAKL_LAMBDA (int k, int j, int i) {
// We need density and momentum to evolve the tracers with ADER
SArray<real,2,nAder,ngll> r_DTs , ru_DTs;
{ // BEGIN: Reconstruct, time-average, and store the state and fluxes
////////////////////////////////////////////////////////////////
// Reconstruct rho, u, v, w, theta
////////////////////////////////////////////////////////////////
SArray<real,2,nAder,ngll> rv_DTs , rw_DTs , rt_DTs;
{ // BEGIN: Reconstruct the state
SArray<real,1,ord> stencil;
// Density
for (int ii=0; ii < ord; ii++) { stencil(ii) = state(idR,hs+k,hs+j,i+ii); }
reconstruct_gll_values( stencil , r_DTs , c2g , s2g , wenoRecon , idl , sigma , weno_scalars );
for (int ii=0; ii < ngll; ii++) { r_DTs(0,ii) += hyDensCells(hs+k); } // Add hydrostasis back on
// u values and derivatives
for (int ii=0; ii < ord; ii++) { stencil(ii) = state(idU,hs+k,hs+j,i+ii); }
reconstruct_gll_values( stencil , ru_DTs , c2g , s2g , wenoRecon , idl , sigma , weno_winds );
// v
for (int ii=0; ii < ord; ii++) { stencil(ii) = state(idV,hs+k,hs+j,i+ii); }
reconstruct_gll_values( stencil , rv_DTs , c2g , s2g , wenoRecon , idl , sigma , weno_winds );
// w
for (int ii=0; ii < ord; ii++) { stencil(ii) = state(idW,hs+k,hs+j,i+ii); }
reconstruct_gll_values( stencil , rw_DTs , c2g , s2g , wenoRecon , idl , sigma , weno_winds );
// theta
for (int ii=0; ii < ord; ii++) { stencil(ii) = state(idT,hs+k,hs+j,i+ii); }
reconstruct_gll_values( stencil , rt_DTs , c2g , s2g , wenoRecon , idl , sigma , weno_scalars );
for (int ii=0; ii < ngll; ii++) { rt_DTs(0,ii) += hyDensThetaCells(hs+k); } // Add hydrostasis back on
} // END: Reconstruct the state
///////////////////////////////////////////////////////////////
// Compute other values needed for centered tendencies and DTs
///////////////////////////////////////////////////////////////
SArray<real,2,nAder,ngll> ruu_DTs , ruv_DTs , ruw_DTs , rut_DTs , rt_gamma_DTs;
for (int ii=0; ii < ngll; ii++) {
real r = r_DTs (0,ii);
real u = ru_DTs(0,ii) / r;
real v = rv_DTs(0,ii) / r;
real w = rw_DTs(0,ii) / r;
real t = rt_DTs(0,ii) / r;
ruu_DTs (0,ii) = r*u*u;
ruv_DTs (0,ii) = r*u*v;
ruw_DTs (0,ii) = r*u*w;
rut_DTs (0,ii) = r*u*t;
rt_gamma_DTs(0,ii) = pow(r*t,GAMMA);
}
//////////////////////////////////////////
// Compute time derivatives if necessary
//////////////////////////////////////////
if (nAder > 1) {
diffTransformEulerConsX( r_DTs , ru_DTs , rv_DTs , rw_DTs , rt_DTs , ruu_DTs , ruv_DTs , ruw_DTs ,
rut_DTs , rt_gamma_DTs , derivMatrix , dx );
}
//////////////////////////////////////////
// Time average if necessary
//////////////////////////////////////////
// density and momentum can't be overwritten because they will be used for tracers
SArray<real,1,ngll> r_tavg, ru_tavg;
if (timeAvg) {
compute_timeAvg_edges( r_DTs , r_tavg , dt );
compute_timeAvg_edges( ru_DTs , ru_tavg , dt );
compute_timeAvg_edges( rv_DTs , dt );
compute_timeAvg_edges( rw_DTs , dt );
compute_timeAvg_edges( rt_DTs , dt );
} else {
r_tavg (0 ) = r_DTs (0,0 );
ru_tavg(0 ) = ru_DTs(0,0 );
r_tavg (ngll-1) = r_DTs (0,ngll-1);
ru_tavg(ngll-1) = ru_DTs(0,ngll-1);
}
//////////////////////////////////////////
// Store cell edge estimates of the state
//////////////////////////////////////////
// Left interface
stateLimits(idR,1,k,j,i ) = r_tavg (0 );
stateLimits(idU,1,k,j,i ) = ru_tavg (0 );
stateLimits(idV,1,k,j,i ) = rv_DTs(0,0 );
stateLimits(idW,1,k,j,i ) = rw_DTs(0,0 );
stateLimits(idT,1,k,j,i ) = rt_DTs(0,0 );
// Right interface
stateLimits(idR,0,k,j,i+1) = r_tavg (ngll-1);
stateLimits(idU,0,k,j,i+1) = ru_tavg (ngll-1);
stateLimits(idV,0,k,j,i+1) = rv_DTs(0,ngll-1);
stateLimits(idW,0,k,j,i+1) = rw_DTs(0,ngll-1);
stateLimits(idT,0,k,j,i+1) = rt_DTs(0,ngll-1);
} // END: Reconstruct, time-average, and store the state and fluxes
#ifndef NO_TRACERS
// r_DTs and ru_DTs still exist and are computed
{ // BEGIN: Reconstruct, time-average, and store tracer fluxes
// Only process one tracer at a time to save on local memory / register requirements
for (int tr=0; tr < numTracers; tr++) {
SArray<real,2,nAder,ngll> rt_DTs; // Density * tracer
{ // BEGIN: Reconstruct the tracer
SArray<real,1,ord> stencil;
for (int ii=0; ii < ord; ii++) { stencil(ii) = tracers(tr,hs+k,hs+j,i+ii); }
reconstruct_gll_values( stencil , rt_DTs , c2g , s2g , wenoRecon , idl , sigma , weno_scalars );
for (int ii=0; ii < ngll; ii++) { rt_DTs(0,ii) *= r_DTs(0,ii); }
if (tracerPos(tr)) {
for (int ii=0; ii < ngll; ii++) { rt_DTs(0,ii) = max( 0._fp , rt_DTs(0,ii) ); }
}
} // END: Reconstruct the tracer
// Compute the tracer flux
SArray<real,2,nAder,ngll> rut_DTs; // Density * uwind * tracer
for (int ii=0; ii < ngll; ii++) {
rut_DTs(0,ii) = rt_DTs(0,ii) * ru_DTs(0,ii) / r_DTs(0,ii);
}
//////////////////////////////////////////
// Compute time derivatives if necessary
//////////////////////////////////////////
if (nAder > 1) {
diffTransformTracer( r_DTs , ru_DTs , rt_DTs , rut_DTs , derivMatrix , dx );
}
//////////////////////////////////////////
// Time average if necessary
//////////////////////////////////////////
if (timeAvg) {
compute_timeAvg_edges( rt_DTs , dt );
}
if (tracerPos(tr)) {
rt_DTs(0,0 ) = max( 0._fp , rt_DTs(0,0 ) );
rt_DTs(0,ngll-1) = max( 0._fp , rt_DTs(0,ngll-1) );
}
////////////////////////////////////////////////////////////
// Store cell edge estimates of the tracer
////////////////////////////////////////////////////////////
tracerLimits(tr,1,k,j,i ) = rt_DTs (0,0 ); // Left interface
tracerLimits(tr,0,k,j,i+1) = rt_DTs (0,ngll-1); // Right interface
}
} // END: Reconstruct, time-average, and store tracer fluxes
#endif
});
////////////////////////////////////////////////
// BCs for the state edge estimates
////////////////////////////////////////////////
parallel_for( SimpleBounds<2>(nz,ny) , YAKL_LAMBDA (int k, int j) {
for (int l=0; l < numState; l++) {
if (bc_x == BC_PERIODIC) {
stateLimits (l,0,k,j,0 ) = stateLimits (l,0,k,j,nx);
stateLimits (l,1,k,j,nx) = stateLimits (l,1,k,j,0 );
} else if (bc_x == BC_WALL ) {
stateLimits (l,0,k,j,0 ) = stateLimits (l,1,k,j,0 );
stateLimits (l,1,k,j,nx) = stateLimits (l,0,k,j,nx);
}
}
#ifndef NO_TRACERS
for (int l=0; l < numTracers; l++) {
if (bc_x == BC_PERIODIC) {
tracerLimits (l,0,k,j,0 ) = tracerLimits (l,0,k,j,nx);
tracerLimits (l,1,k,j,nx) = tracerLimits (l,1,k,j,0 );
} else if (bc_x == BC_WALL ) {
tracerLimits (l,0,k,j,0 ) = tracerLimits (l,1,k,j,0 );
tracerLimits (l,1,k,j,nx) = tracerLimits (l,0,k,j,nx);
}
}
#endif
});
//////////////////////////////////////////////////////////
// Compute the upwind fluxes
//////////////////////////////////////////////////////////
parallel_for( SimpleBounds<3>(nz,ny,nx+1) , YAKL_LAMBDA (int k, int j, int i) {
// Get left and right state
real q1_L = stateLimits(idR,0,k,j,i); real q1_R = stateLimits(idR,1,k,j,i);
real q2_L = stateLimits(idU,0,k,j,i); real q2_R = stateLimits(idU,1,k,j,i);
real q3_L = stateLimits(idV,0,k,j,i); real q3_R = stateLimits(idV,1,k,j,i);
real q4_L = stateLimits(idW,0,k,j,i); real q4_R = stateLimits(idW,1,k,j,i);
real q5_L = stateLimits(idT,0,k,j,i); real q5_R = stateLimits(idT,1,k,j,i);
// Compute average state
real r = 0.5_fp * (q1_L + q1_R );
real u = 0.5_fp * (q2_L/q1_L + q2_R/q1_R);
real v = 0.5_fp * (q3_L/q1_L + q3_R/q1_R);
real w = 0.5_fp * (q4_L/q1_L + q4_R/q1_R);
real t = 0.5_fp * (q5_L/q1_L + q5_R/q1_R);
real p = C0 * pow(r*t,GAMMA);
real cs2 = GAMMA*p/r;
real cs = sqrt(cs2);
// COMPUTE UPWIND STATE FLUXES
// Compute upwind characteristics
// Waves 1-3, velocity: u
real w1, w2, w3;
if (u > 0) {
w1 = q1_L - q5_L/t;
w2 = q3_L - v*q5_L/t;
w3 = q4_L - w*q5_L/t;
} else {
w1 = q1_R - q5_R/t;
w2 = q3_R - v*q5_R/t;
w3 = q4_R - w*q5_R/t;
}
// Wave 5, velocity: u-cs
real w5 = u*q1_R/(2*cs) - q2_R/(2*cs) + q5_R/(2*t);
// Wave 6, velocity: u+cs
real w6 = -u*q1_L/(2*cs) + q2_L/(2*cs) + q5_L/(2*t);
// Use right eigenmatrix to compute upwind flux
real q1 = w1 + w5 + w6;
real q2 = u*w1 + (u-cs)*w5 + (u+cs)*w6;
real q3 = w2 + v*w5 + v*w6;
real q4 = w3 + w*w5 + w*w6;
real q5 = t*w5 + t*w6;
stateFlux(idR,k,j,i) = q2;
stateFlux(idU,k,j,i) = q2*q2/q1 + C0*pow(q5,GAMMA);
stateFlux(idV,k,j,i) = q2*q3/q1;
stateFlux(idW,k,j,i) = q2*q4/q1;
stateFlux(idT,k,j,i) = q2*q5/q1;
real massFlux = stateFlux(idR,k,j,i);
#ifndef NO_TRACERS
// COMPUTE UPWIND TRACER FLUXES
// Handle it one tracer at a time
for (int tr=0; tr < numTracers; tr++) {
if (u > 0) {
tracerFlux(tr,k,j,i) = massFlux * tracerLimits(tr,0,k,j,i) / q1_L;
} else {
tracerFlux(tr,k,j,i) = massFlux * tracerLimits(tr,1,k,j,i) / q1_R;
}
}
#endif
});
#ifndef NO_TRACERS
//////////////////////////////////////////////////////////
// Limit the tracer fluxes for positivity
//////////////////////////////////////////////////////////
parallel_for( SimpleBounds<4>(numTracers,nz,ny,nx+1) , YAKL_LAMBDA (int tr, int k, int j, int i) {
real constexpr eps = 1.e-10;
real u = 0.5_fp * ( stateLimits(idU,0,k,j,i) + stateLimits(idU,1,k,j,i) );
// Solid wall BCs mean u == 0 at boundaries, so we assume periodic if u != 0
if (tracerPos(tr)) {
// Compute and apply the flux reduction factor of the upwind cell
if (u > 0) {
// upwind is to the left of this interface
int ind_i = i-1;
if (ind_i == -1) ind_i = nx-1;
real f1 = min( tracerFlux(tr,k,j,ind_i ) , 0._fp );
real f2 = max( tracerFlux(tr,k,j,ind_i+1) , 0._fp );
real fluxOut = dt*(f2-f1)/dx;
real dens = state(idR,hs+k,hs+j,hs+ind_i) + hyDensCells(hs+k);
tracerFlux(tr,k,j,i) *= min( 1._fp , tracers(tr,hs+k,hs+j,hs+ind_i) * dens / (fluxOut + eps) );
} else if (u < 0) {
// upwind is to the right of this interface
int ind_i = i;
if (ind_i == nx) ind_i = 0;
real f1 = min( tracerFlux(tr,k,j,ind_i ) , 0._fp );
real f2 = max( tracerFlux(tr,k,j,ind_i+1) , 0._fp );
real fluxOut = dt*(f2-f1)/dx;
real dens = state(idR,hs+k,hs+j,hs+ind_i) + hyDensCells(hs+k);
tracerFlux(tr,k,j,i) *= min( 1._fp , tracers(tr,hs+k,hs+j,hs+ind_i) * dens / (fluxOut + eps) );
}
}
});
#endif
//////////////////////////////////////////////////////////
// Compute the tendencies
//////////////////////////////////////////////////////////
parallel_for( SimpleBounds<3>(nz,ny,nx) , YAKL_LAMBDA(int k, int j, int i) {
for (int l = 0; l < numState; l++) {
if (sim2d && l == idV) {
stateTend(l,k,j,i) = 0;
} else {
stateTend(l,k,j,i) = - ( stateFlux(l,k,j,i+1) - stateFlux(l,k,j,i) ) / dx;
}
}
#ifndef NO_TRACERS
for (int l = 0; l < numTracers; l++) {
// Compute tracer tendency
tracerTend(l,k,j,i) = - ( tracerFlux(l,k,j,i+1) - tracerFlux(l,k,j,i ) ) / dx;
// Multiply density back onto tracers
tracers(l,hs+k,hs+j,hs+i) *= (state(idR,hs+k,hs+j,hs+i) + hyDensCells(hs+k));
}
#endif
});
}
void computeTendenciesY( StateArr &state , StateTendArr &stateTend ,
TracerArr &tracers , TracerTendArr &tracerTend ,
real &dt ) {
auto &ny = this->ny ;
auto &weno_scalars = this->weno_scalars ;
auto &weno_winds = this->weno_winds ;
auto &c2g = this->coefs_to_gll ;
auto &s2g = this->sten_to_gll ;
auto &wenoRecon = this->wenoRecon ;
auto &idl = this->idl ;
auto &sigma = this->sigma ;
auto &hyDensCells = this->hyDensCells ;
auto &hyDensThetaCells = this->hyDensThetaCells ;
auto &sim2d = this->sim2d ;
auto &derivMatrix = this->derivMatrix ;
auto &dy = this->dy ;
auto &stateLimits = this->stateLimits ;
auto &stateFlux = this->stateFlux ;
auto &tracerLimits = this->tracerLimits ;
auto &tracerFlux = this->tracerFlux ;
auto &tracerPos = this->tracerPos ;
auto &numTracers = this->numTracers ;
auto &bc_y = this->bc_y ;
#ifndef NO_TRACERS
// Pre-process the tracers by dividing by density inside the domain
// After this, we can reconstruct tracers only (not rho * tracer)
parallel_for( SimpleBounds<4>(numTracers,nz,ny,nx) , YAKL_LAMBDA (int tr, int k, int j, int i) {
tracers(tr,hs+k,hs+j,hs+i) /= (state(idR,hs+k,hs+j,hs+i) + hyDensCells(hs+k));
});
#endif
// Populate the halos
if (bc_y == BC_PERIODIC) {
parallel_for( SimpleBounds<3>(nz,nx,hs) , YAKL_LAMBDA(int k, int i, int jj) {
for (int l=0; l < numState; l++) {
state(l,hs+k, jj,hs+i) = state(l,hs+k,ny+jj,hs+i);
state(l,hs+k,hs+ny+jj,hs+i) = state(l,hs+k,hs+jj,hs+i);
}
#ifndef NO_TRACERS