//---------------------------------------------------------
void Euler3D::CouetteBC3D
(
const DVec& xi,
const DVec& yi,
const DVec& zi,
const DVec& nxi,
const DVec& nyi,
const DVec& nzi,
const IVec& tmapI,
const IVec& tmapO,
const IVec& tmapW,
const IVec& tmapC,
double ti,
DMat& Qio
)
//---------------------------------------------------------
{
//#######################################################
// FIXME: what about top and bottom of 3D annulus?
//#######################################################
// gmapB = concat(mapI,mapO,mapW, ...);
// Check for no boundary faces
if (gmapB.size() < 1) {
return;
}
// function [Q] = CouetteBC3D(xin, yin, nxin, nyin, mapI, mapO, mapW, mapC, Q, time);
// Purpose: evaluate solution for Couette flow
// Couette flow (mach .2 at inner cylinder)
// gamma = 1.4;
int Nr = Qio.num_rows();
DVec rho,rhou,rhov,rhow,Ener;
// wrap current state data (columns of Qio)
rho.borrow (Nr, Qio.pCol(1));
rhou.borrow(Nr, Qio.pCol(2));
rhov.borrow(Nr, Qio.pCol(3));
rhow.borrow(Nr, Qio.pCol(4));
Ener.borrow(Nr, Qio.pCol(5));
// update boundary nodes of Qio with boundary data
// pre-calculated in function precalc_bdry_data()
rho (gmapB) = rhoB;
rhou(gmapB) = rhouB;
rhov(gmapB) = rhovB;
rhow(gmapB) = rhowB;
Ener(gmapB) = EnerB;
}
//---------------------------------------------------------
void CurvedCNS2D::BoxFlowIC2D
(
const DVec& xi, // [in]
const DVec& yi, // [in]
double ti, // [in]
DMat& Qo // [out]
)
//---------------------------------------------------------
{
// function Q = BoxFlowIC2D(x, y, time)
//
// Purpose: compute plane flow configuration
//-------------------------------------
// adjust parameters
//-------------------------------------
this->gamma = 1.4;
this->gm1 = 0.4; // (gamma-1)
//-------------------------------------
// use wrappers to update Qo in-place
//-------------------------------------
DVec rho,rhou,rhov,Ener; int Nr=Np*K;
rho.borrow (Nr, Qo.pCol(1));
rhou.borrow(Nr, Qo.pCol(2));
rhov.borrow(Nr, Qo.pCol(3));
Ener.borrow(Nr, Qo.pCol(4));
if (1)
{
this->pref = 12.0;
rho = 1.0;
rhou = -sin(2.0*pi*y);
rhov = sin(4.0*pi*x);
Ener = pref/gm1 + 0.5*(sqr(rhou) + sqr(rhov)).dd(rho);
}
else
{
this->pref = 12.0;
rho = 1.0;
rhou = 0.0;
rhov = 0.0;
Ener = pref/gm1 + 0.5 * rho.dm(exp(-4.0*(sqr(cos(pi*x))+sqr(cos(pi*y)))));
}
}
//---------------------------------------------------------
void NDG2D::OutputSampleXYZ
(
int sample_N,
DMat &newX,
DMat &newY,
DMat &newZ, // e.g. triangles on a sphere
const DMat &FData, // old field data
DMat &newFData, // new field data
int zfield // if>0, use as z-elevation
)
//---------------------------------------------------------
{
DVec newR, newS, newT;
DMat newVDM;
int newNpts = 0;
// Triangles
OutputSampleNodes2D(sample_N, newR, newS);
newNpts = newR.size();
newVDM = Vandermonde2D(this->N, newR, newS);
const DMat& oldV = this->V;
DMat oldtonew(newNpts, this->Np, "OldToNew");
oldtonew = trans(trans(oldV) | trans(newVDM));
//-----------------------------------
// interpolate the field data
//-----------------------------------
int Nfields = FData.num_cols();
newFData.resize(newNpts*this->K, Nfields);
//DVec scales(Nfields);
// For each field, use tOldF to wrap field i.
// Use tNewF to load the interpolated field
// directly into column i of the output array.
DMat tOldF, tNewF;
for (int i=1; i<=Nfields; ++i) {
tOldF.borrow(this->Np, this->K, (double*) FData.pCol(i));
tNewF.borrow(newNpts, this->K, (double*)newFData.pCol(i));
tNewF = oldtonew * tOldF;
//scales(i) = tNewF.max_col_val_abs(i);
}
//-----------------------------------
// interpolate the vertices
//-----------------------------------
newX = oldtonew * this->x;
newY = oldtonew * this->y;
if (this->bCoord3D) {
newZ = oldtonew * this->z;
}
else
{
if (zfield>=1 && zfield<=Nfields) {
// use field data for z-height
newZ.load(newNpts, K, newFData.pCol(Nfields));
} else {
// set z-data to 0.0
newZ.resize(newNpts, K, true, 0.0);
}
}
}