void ProblemStructure::initializeVelocityBoundary() {
DataWindow<double> uVelocityBoundaryWindow (geometry.getUVelocityBoundaryData(), M, 2);
DataWindow<double> vVelocityBoundaryWindow (geometry.getVVelocityBoundaryData(), 2, N);
if (boundaryModel == "tauBenchmark") {
for (int i = 0; i < M; ++i)
for (int j = 0; j < 2; ++j)
uVelocityBoundaryWindow (i, j) = cos (j * N * h) * sin ((i + 0.5) * h);
for (int i = 0; i < 2; ++i)
for (int j = 0; j < N; ++j)
vVelocityBoundaryWindow (i, j) = -sin ((j + 0.5) * h) * cos (i * M * h);
} else if (boundaryModel == "solCXBenchmark" ||
boundaryModel == "solKZBenchmark" ||
boundaryModel == "noFlux") {
for (int i = 0; i < M; ++i)
for (int j = 0; j < 2; ++j)
uVelocityBoundaryWindow (i, j) = 0;
for (int i = 0; i < 2; ++i)
for (int j = 0; j < N; ++j)
vVelocityBoundaryWindow (i, j) = 0;
} else {
throw std::invalid_argument("<Unexpected boundary model: \"" + boundaryModel + "\" : Shutting down now>");
}
#ifdef DEBUG
cout << "<Initialized boundary model as: \"" << boundaryModel << "\">" << endl;
cout << "<U Velocity Boundary Data>" << endl;
uVelocityBoundaryWindow.displayMatrix();
cout << "<V Velocity Boundary Data>" << endl;
vVelocityBoundaryWindow.displayMatrix();
#endif
}
void ProblemStructure::initializeViscosity() {
DataWindow<double> viscosityWindow (geometry.getViscosityData(), M + 1, N + 1);
double viscosity;
if (viscosityModel == "constant") {
if (parser.push ("problemParams")) {
if (parser.tryPush ("initialViscosity")) {
parser.queryParamDouble ("viscosityScale", viscosity, 1.0);
parser.pop();
} else {
viscosity = 1.0;
}
parser.pop();
}
for (int i = 0; i < (M + 1); ++i)
for (int j = 0; j < (N + 1); ++j)
viscosityWindow (i, j) = viscosity;
} else if (viscosityModel == "tauBenchmark") {
viscosity = 1.0;
} else if (viscosityModel == "solCXBenchmark") {
for (int i = 0; i < (M + 1); ++i)
for (int j = 0; j < (N + 1); ++j)
viscosityWindow (i, j) = (j <= N / 2) ? 1.0 : 1.0E06;
} else if (viscosityModel == "solKZBenchmark") {
for (int i = 0; i < (M + 1); ++i)
for (int j = 0; j < (N + 1); ++j)
viscosityWindow (i, j) = 1.0 + j * h * 1.0E06;
} else {
throw std::invalid_argument("Unexpected viscosity model: \"" + viscosityModel + "\" : Shutting down now!");
}
#ifdef DEBUG
cout << "<Viscosity model initialized as: \"" << viscosityModel << "\">" << endl;
cout << "<Viscosity Data>" << endl;
viscosityWindow.displayMatrix();
#endif
}
void ProblemStructure::initializeTemperature() {
DataWindow<double> temperatureWindow (geometry.getTemperatureData(), M, N);
double referenceTemperature;
double temperatureScale;
if (parser.push ("problemParams")) {
if (parser.push ("initialTemperatureParams")) {
parser.queryParamDouble ("referenceTemperature", referenceTemperature, 273.15);
parser.queryParamDouble ("temperatureScale", temperatureScale, 100.0);
parser.pop();
}
parser.pop();
}
if (temperatureModel == "constant") {
for (int i = 0; i < M; ++i)
for (int j = 0; j < N; ++j)
temperatureWindow (i, j) = referenceTemperature;
} else if (temperatureModel == "sineWave") {
int xModes;
int yModes;
if (parser.push ("problemParams")) {
if (parser.tryPush ("initialTemperatureParams")) {
parser.queryParamInt ("xModes", xModes, 2);
parser.queryParamInt ("yModes", yModes, 2);
parser.pop();
}
parser.pop();
}
for (int i = 0; i < M; ++i)
for (int j = 0; j < N; ++j)
temperatureWindow (i, j) = referenceTemperature +
sin ((i + 0.5) * h * xModes * pi / xExtent) *
sin ((j + 0.5) * h * yModes * pi / yExtent) *
temperatureScale;
} else if (temperatureModel == "squareWave") {
for (int i = 0; i < M; ++i)
for (int j = 0; j < N; ++j) {
if ((M / 4 < j && j < 3 * M / 4) && (N / 4 < i && i < 3 * N / 4))
temperatureWindow (i, j) = referenceTemperature + temperatureScale;
else
temperatureWindow (i, j) = referenceTemperature;
}
} else if (temperatureModel == "circle") {
double center_x;
double center_y;
double radius;
if (parser.push ("problemParams")) {
if (parser.tryPush ("initialTemperatureParams")) {
parser.getParamDouble ("radius", radius);
parser.getParamDouble ("xCenter", center_x);
parser.getParamDouble ("yCenter", center_y);
parser.pop();
}
parser.pop();
}
for (int i = 0; i < M; ++i)
for (int j= 0; j < N; ++j) {
if ( std::sqrt(std::pow((i*h+h/2)-(center_y),2.0) + std::pow((j*h+h/2)-(center_x),2.0)) < radius )
temperatureWindow (i, j) = referenceTemperature + temperatureScale;
else
temperatureWindow (i, j) = referenceTemperature;
}
} else {
throw std::invalid_argument("<Unexpected temperature model: \"" + temperatureModel + "\" : Shutting down now>");
}
#ifdef DEBUG
cout << "<Initialized temperature model as: \"" << temperatureModel << "\">" << endl;
cout << "<Temperature Data>" << endl;
temperatureWindow.displayMatrix();
#endif
}
// Update the forcing terms
// T -> F
void ProblemStructure::updateForcingTerms() {
DataWindow<double> uForcingWindow (geometry.getUForcingData(), N - 1, M);
DataWindow<double> vForcingWindow (geometry.getVForcingData(), N, M - 1);
#ifdef DEBUG
cout << "<Calculating forcing model using \"" << forcingModel << "\">" << endl;
#endif
if (forcingModel == "tauBenchmark") {
// Benchmark taken from Tau (1991; JCP Vol. 99)
for (int i = 0; i < M; ++i)
for (int j = 0; j < N - 1; ++j)
uForcingWindow (j, i) = 3 * cos ((j + 1) * h) * sin ((i + 0.5) * h);
for (int i = 0; i < M - 1; ++i)
for (int j = 0; j < N; ++j)
vForcingWindow (j, i) = -sin ((j + 0.5) * h) * cos ((i + 1) * h);
} else if (forcingModel == "solCXBenchmark" ||
forcingModel == "solKZBenchmark") {
// solCX Benchmark taken from Kronbichler et al. (2011)
for (int i = 0; i < M; ++i)
for (int j = 0; j < N - 1; ++j)
uForcingWindow (j, i) = 0;
for (int i = 0; i < M - 1; ++i)
for (int j = 0; j < N; ++j)
vForcingWindow (j, i) = - sin((i + 0.5) * M_PI * h) * cos ((j + 1) * M_PI * h);
} else if (forcingModel == "vorticalFlow") {
for (int i = 0; i < M; ++i)
for (int j = 0; j < (N - 1); j++)
uForcingWindow (j, i) = cos ((j + 1) * h) * sin ((i + 0.5) * h);
for (int i = 0; i < (M - 1); ++i)
for (int j = 0; j < N; ++j)
vForcingWindow (j, i) = -sin ((j + 0.5) * h) * cos ((i + 1) * h);
} else if (forcingModel == "buoyancy") {
DataWindow<double> temperatureWindow (geometry.getTemperatureData(), N, M);
double referenceTemperature;
double densityConstant;
double thermalExpansion;
if (parser.push ("problemParams")) {
if (parser.push ("buoyancyModelParams")) {
parser.queryParamDouble ("referenceTemperature", referenceTemperature, 273.15);
parser.queryParamDouble ("densityConstant", densityConstant, 100.0);
parser.queryParamDouble ("thermalExpansion", thermalExpansion, 1.0);
parser.pop();
}
parser.pop();
}
for (int i = 0; i < M; ++i)
for (int j = 0; j < (N - 1); ++j)
uForcingWindow (j, i) = 0;
for (int i = 0; i < (M - 1); ++i)
for (int j = 0; j < N; ++j) {
vForcingWindow (j, i) = -1 * densityConstant *
(1 - thermalExpansion *
((temperatureWindow (j, i) +
temperatureWindow (j, i + 1)) / 2 -
referenceTemperature));
}
} else {
cerr << "<Unexpected forcing model: \"" << forcingModel << "\" : Shutting down now>" << endl;
exit(-1);
}
#ifdef DEBUG
cout << "<U Forcing Data>" << endl;
cout << uForcingWindow.displayMatrix() << endl;
cout << "<V Forcing Data>" << endl;
cout << vForcingWindow.displayMatrix() << endl << endl;
#endif
}
