void laplace2d() {
double nx = 31;
double ny = 31;
double c = 1;
double dx = 2/(nx-1);
double dy = 2/(ny-1);
double linorm_target = .01;
double linorm = 1;
// Make an output folder
std::string dir = "step9/";
Eigen::ArrayXd x; // Array containing our x values
x.setLinSpaced(nx,0,2); // Array is linearly spaced values from 0 to 2
Eigen::ArrayXd y; // Array containing our x values
y.setLinSpaced(ny,0,1);
// Arrays containing our calculated values
Eigen::ArrayXXd p;
Eigen::ArrayXXd pn;
// Initial Conditions
p.setZero(ny,nx);
pn.setZero(ny,nx);
//Set Boundary Conditions
p.block(0,0,ny,1) = Eigen::ArrayXXd::Constant(ny,1,0);
p.block(0,nx-1,ny,1) = y.block(0,0,ny,1);
p.block(0,0,1,nx) = p.block(1,0,1,nx);
p.block(ny-1,0,1,nx) = p.block(ny-2,0,1,nx);
while(linorm>linorm_target)
{
pn << p;
p.block(1,1,ny-2,nx-2) = (pow(dy,2)*(pn.block(2,1,ny-2,nx-2)+pn.block(0,1,ny-2,nx-2))+pow(dx,2)*(pn.block(1,2,ny-2,nx-2)+pn.block(1,0,ny-2,nx-2)))/(2*(pow(dx,2)+pow(dy,2)));
p(0,0) = (pow(dy,2)*(pn(1,0)+pn(ny-1,0))+pow(dx,2)*(pn(0,1)+pn(0,nx-1)))/(2*(pow(dx,2)+pow(dy,2)));
p(ny-1,nx-1) = (pow(dy,2)*(pn(0,nx-1)+pn(ny-2,nx-1))+pow(dx,2)*(pn(ny-1,0)+pn(ny-1,nx-2)))/(2*(pow(dx,2)+pow(dy,2)));
//Set Boundary Conditions
p.block(0,0,ny,1) = Eigen::ArrayXXd::Constant(ny,1,0);
p.block(0,nx-1,ny,1) = y.block(0,0,ny,1);
p.block(0,0,1,nx) = p.block(1,0,1,nx);
p.block(ny-1,0,1,nx) = p.block(ny-2,0,1,nx);
linorm = (p.cwiseAbs()-pn.cwiseAbs()).sum()/(pn.cwiseAbs()).sum();
}
ofstream writexdata((dir + "output.dat").c_str(), ios::out | ios::trunc);
writexdata << p << endl;
writexdata.close();
}
void channelns() {
double nx = 41;
double ny = 41;
double nt = 10;
double nit = 50;
double c = 1;
double dx = 2/(nx-1);
double dy = 2/(ny-1);
double rho = 1;
double nu =.1;
double F = 1;
double dt = .01;
std::string dir = "step11/";
Eigen::ArrayXd x; // Array containing our x values
x.setLinSpaced(nx,0,2); // Array is linearly spaced values from 0 to 2
Eigen::ArrayXd y; // Array containing our x values
y.setLinSpaced(ny,0,2);
Eigen::ArrayXXd X;
Eigen::ArrayXXd Y;
X = x.transpose().replicate(nx,1); // Need to transpose this because the type we declared, ArrayXd, is row-major (and we need column-major for a proper meshgrid)
Y = y.replicate(1,ny);
Eigen::ArrayXXd u;
u.setZero(ny,nx);
Eigen::ArrayXXd un;
un.setZero(ny,nx);
Eigen::ArrayXXd v;
v.setZero(ny,nx);
Eigen::ArrayXXd vn;
vn.setZero(ny,nx);
Eigen::ArrayXXd b;
b.setZero(ny,nx);
Eigen::ArrayXXd p;
p.setZero(ny,nx);
Eigen::ArrayXXd pn;
pn.setZero(ny,nx);
}
/**
* Compute maximum dissolution and evaporation ratios at
* average hydrocarbon pressure.
*
* Uses the pressure value computed by averagePressure()
* and must therefore be called *after* that method.
*/
void
calcRmax()
{
Rmax_.setZero();
const PhaseUsage& pu = props_.phaseUsage();
if (Details::PhaseUsed::oil(pu) &&
Details::PhaseUsed::gas(pu))
{
const Eigen::ArrayXXd::Index
io = Details::PhasePos::oil(pu),
ig = Details::PhasePos::gas(pu);
// Note: Intentionally does not take capillary
// pressure into account. This facility uses the
// average *hydrocarbon* pressure rather than
// average phase pressure.
typedef BlackoilPropsAdInterface::ADB ADB;
Rmax_.col(io) = props_.rsSat(ADB::constant(p_avg_), ADB::constant(T_avg_), repcells_).value();
Rmax_.col(ig) = props_.rvSat(ADB::constant(p_avg_), ADB::constant(T_avg_), repcells_).value();
}
}