/// <summary>
/// Test case using <see cref="StiffenedGas"/> in combination with the
/// <see cref="RusanovFlux"/>.
/// </summary>
/// <returns></returns>
public static VortexControl IsentropicVortexStiffenedGasRusanov()
{
VortexControl c = Template(1, 2);
double referencePressure = 10.0;
c.EquationOfState = new StiffenedGas(1.4, referencePressure);
c.ConvectiveFluxType = ConvectiveFluxTypes.Rusanov;
double gamma = c.EquationOfState.HeatCapacityRatio;
Func <double[], double, double> x = (X, t) => X[0] - c.VortexSpeed * t;
Func <double[], double, double> r = (X, t) => Math.Sqrt(x(X, t) * x(X, t) + X[1] * X[1]);
Func <double[], double, double> phi = (X, t) => Math.Atan2(X[1], x(X, t));
Func <double[], double, double> rho = (X, t) => Math.Pow(
2.3535468936502524 - 0.5 * (gamma - 1.0) / gamma * Math.Exp(1.0 - r(X, t) * r(X, t)),
1.0 / (gamma - 1.0));
Func <double[], double, double> uAbs = (X, t) => r(X, t) * Math.Exp(0.5 * (1.0 - r(X, t) * r(X, t)));
Func <double[], double, double> p = (X, t) => Math.Pow(rho(X, t), gamma) - referencePressure;
c.InitialValues_Evaluators.Add(Variables.Density, X => rho(X, 0.0));
c.InitialValues_Evaluators.Add(Variables.Velocity.xComponent, X => c.VortexSpeed - Math.Sin(phi(X, 0.0)) * uAbs(X, 0.0));
c.InitialValues_Evaluators.Add(Variables.Velocity.yComponent, X => Math.Cos(phi(X, 0.0)) * uAbs(X, 0.0));
c.InitialValues_Evaluators.Add(Variables.Pressure, X => p(X, 0.0));
c.Queries.Add("L2ErrorDensity", QueryLibrary.L2Error(Variables.Density, rho));
c.Queries.Add("L2ErrorPressure", QueryLibrary.L2Error(Variables.Pressure, p));
c.Queries.Add("L2ErrorEntropy", QueryLibrary.L2Error(Variables.Entropy, (X, t) => 1.0));
return(c);
}
/// <summary>
/// Test case using <see cref="IdealGas"/> in combination with the
/// <see cref="OptimizedHLLCFlux"/>.
/// </summary>
/// <returns></returns>
public static VortexControl IsentropicVortexIdealGasOptimizedHLLC()
{
VortexControl c = IdealGasTemplate(1, 2);
c.ConvectiveFluxType = ConvectiveFluxTypes.OptimizedHLLC;
return(c);
}
/// <summary>
/// Test case using <see cref="IdealGas"/> in combination with the
/// <see cref="RusanovFlux"/>.
/// </summary>
/// <returns></returns>
public static VortexControl IsentropicVortexIdealGasRusanov()
{
VortexControl c = IdealGasTemplate(1, 2);
c.ConvectiveFluxType = ConvectiveFluxTypes.Rusanov;
return(c);
}
private static VortexControl IdealGasTemplate(int divisions, int dgDegree)
{
VortexControl c = Template(divisions, dgDegree);
c.EquationOfState = IdealGas.Air;
IsentropicVortexExactSolution solution = new IsentropicVortexExactSolution(c, c.VortexSpeed);
c.InitialValues_Evaluators.Add(Variables.Density, X => solution.rho()(X, 0.0));
c.InitialValues_Evaluators.Add(Variables.Velocity.xComponent, X => solution.u()(X, 0.0));
c.InitialValues_Evaluators.Add(Variables.Velocity.yComponent, X => solution.v()(X, 0.0));
c.InitialValues_Evaluators.Add(Variables.Pressure, X => solution.p()(X, 0.0));
c.Queries.Add("L2ErrorDensity", QueryLibrary.L2Error(Variables.Density, solution.rho()));
c.Queries.Add("L2ErrorPressure", QueryLibrary.L2Error(Variables.Pressure, solution.p()));
c.Queries.Add("L2ErrorEntropy", QueryLibrary.L2Error(Variables.Entropy, (X, t) => 1.0));
return(c);
}
/// <summary>
/// Common settings for all tests within this set of test cases
/// </summary>
/// <param name="divisions"></param>
/// <param name="dgDegree"></param>
/// <returns></returns>
private static VortexControl Template(int divisions, int dgDegree)
{
VortexControl c = new VortexControl();
c.savetodb = false;
c.ActiveOperators = Operators.Convection;
c.ExplicitScheme = ExplicitSchemes.RungeKutta;
c.ExplicitOrder = 4;
c.MachNumber = 1 / Math.Sqrt(c.EquationOfState.HeatCapacityRatio);
c.AddVariable(Variables.Density, dgDegree);
c.AddVariable(Variables.Momentum.xComponent, dgDegree);
c.AddVariable(Variables.Momentum.yComponent, dgDegree);
c.AddVariable(Variables.Energy, dgDegree);
c.AddVariable(Variables.Pressure, dgDegree);
c.AddVariable(Variables.Entropy, dgDegree);
c.GridFunc = delegate {
int noOfCellsPerDirection = (2 << divisions) * 10;
GridCommons grid = Grid2D.Cartesian2DGrid(
GenericBlas.Linspace(-10.0, 10.0, noOfCellsPerDirection + 1),
GenericBlas.Linspace(-10.0, 10.0, noOfCellsPerDirection + 1),
periodicX: true,
periodicY: true);
return(grid);
};
c.VortexSpeed = 1.0;
c.dtMin = 0.01;
c.dtMax = 0.01;
c.CFLFraction = double.NaN;
c.Endtime = 0.2;
c.NoOfTimesteps = int.MaxValue;
return(c);
}
/// <summary>
/// Test case using <see cref="CovolumeGas"/> in combination with the
/// <see cref="RusanovFlux"/>.
/// </summary>
/// <returns></returns>
public static VortexControl IsentropicVortexCovolumeGasRusanov()
{
VortexControl c = Template(1, 2);
CovolumeGas eos = new CovolumeGas(1.4, 0.1);
double integrationConstant = 3.6;
c.EquationOfState = eos;
c.ConvectiveFluxType = ConvectiveFluxTypes.Rusanov;
Func <double[], double, StateVector> solution = (X, t) =>
CovolumeVortexExactSolution.GetSolution(X[0], X[1], c.VortexSpeed, t, c, integrationConstant);
c.InitialValues_Evaluators.Add(Variables.Density, X => solution(X, 0.0).Density);
c.InitialValues_Evaluators.Add(Variables.Velocity.xComponent, X => solution(X, 0.0).Velocity[0]);
c.InitialValues_Evaluators.Add(Variables.Velocity.yComponent, X => solution(X, 0.0).Velocity[1]);
c.InitialValues_Evaluators.Add(Variables.Pressure, X => solution(X, 0.0).Pressure);
c.Queries.Add("L2ErrorDensity", QueryLibrary.L2Error(Variables.Density, (X, t) => solution(X, t).Density, 10));
c.Queries.Add("L2ErrorPressure", QueryLibrary.L2Error(Variables.Pressure, (X, t) => solution(X, t).Pressure, 10));
c.Queries.Add("L2ErrorEntropy", QueryLibrary.L2Error(Variables.Entropy, (X, t) => 1.0, 10));
return(c);
}