//private static int count = 0;
//private static StreamWriter writer;
/// <summary>
/// Calculates the boundary value for an isolating slip wall according
/// to the first variant described in VegtVen2002. The basic idea is to
/// impose \f$ \vec{u} \cdot \vec{n} = 0\f$ (slip wall) by
/// setting the edge momentum to
/// \f$ \vec{m}^+ = \vec{m}^- - 2((\rho \vec{u})^- \cdot \vec{n})\vec{n}\f$
/// which mimics a mirrored flow at the other side of the wall.
/// </summary>
public override StateVector GetBoundaryState(double time, Vector x, Vector normal, StateVector stateIn)
{
//Convection.OptimizedHLLCFlux.AdiabaticSlipWall.Start();
Vector normalVector = normal;
Debug.Assert(normal.Dim == stateIn.Dimension);
int D = normal.Dim;
StateVector stateOut;
if (WallVelocities == null)
{
// VegtVen2002, page 14, second equation
ilPSP.Vector mOut = stateIn.Momentum - 2.0 * (stateIn.Momentum * normalVector) * normalVector;
stateOut = new StateVector(stateIn.Material, stateIn.Density, mOut, stateIn.Energy);
}
else
{
ilPSP.Vector uWall = new ilPSP.Vector(D);
for (int d = 0; d < D; d++)
{
uWall[d] = WallVelocities[d](x, time);
}
ilPSP.Vector uOut = stateIn.Velocity
- 2.0 * ((stateIn.Velocity - uWall) * normalVector) * normalVector;
stateOut = StateVector.FromPrimitiveQuantities(
stateIn.Material, stateIn.Density, uOut, stateIn.Pressure);
}
//Console.WriteLine(String.Format("{0}: \t x = ({1:0.0000}, {2:0.0000}) \t stateOut = ({3:0.0000}, {4:0.0000}, {5:0.0000}, {6:0.0000}) \t normal = ({7:0.0000}, {8:0.0000})", count, x.x, x.y, stateOut.Density, stateOut.Momentum.x, stateOut.Momentum.y, stateOut.Energy, normal.x, normal.y));
//count++;
//// StreamWriter
//if (writer == null) {
// writer = new StreamWriter("QuadraturePoints.txt");
//}
//string resultLine;
//resultLine = x.x + "\t" + x.y + "\t" + stateOut.Density + "\t" + stateOut.Momentum.x + "\t" + stateOut.Momentum.y + "\t" + stateOut.Energy + "\t" + normal.x + "\t" + normal.y;
//writer.WriteLine(resultLine);
//writer.Flush();
//Convection.OptimizedHLLCFlux.AdiabaticSlipWall.Stop();
return(stateOut);
}
/// <summary>
/// On a no-slip wall, all velocity (and thus momentum) components
/// vanish. The density can be extrapolated and we can impose a fixed
/// temperature by setting \f$ T^* = T^-\f$ which is equivalent
/// to \f$ e^* = e^-\f$
/// </summary>
/// <param name="time">
/// <see cref="BoundaryCondition.GetBoundaryState"/>
/// </param>
/// <param name="x">
/// <see cref="BoundaryCondition.GetBoundaryState"/>
/// </param>
/// <param name="normal">
/// <see cref="BoundaryCondition.GetBoundaryState"/>
/// </param>
/// <param name="stateIn">
/// <see cref="BoundaryCondition.GetBoundaryState"/>
/// </param>
/// <returns>
/// \f$ (\rho^-, 0[, 0[, 0]], \rho^- e^*)^T\f$ where
/// \f$ e* = (\gamma - 1.0) T^*\f$
/// </returns>
public override StateVector GetBoundaryState(double time, Vector x, Vector normal, StateVector stateIn)
{
double gamma = config.EquationOfState.HeatCapacityRatio;
double innerEnergy = TemperatureFunction(x, time) / (gamma - 1.0);
double MachScaling = gamma * config.MachNumber * config.MachNumber;
Debug.Assert(stateIn.Dimension == normal.Dim);
int D = normal.Dim;
if (WallVelocities == null)
{
// Kinetic energy is zero at a no-slip boundary, we can omit it
return(new StateVector(
stateIn.Material,
stateIn.Density,
new Vector(),
stateIn.Density * innerEnergy));
}
else
{
Vector velocity = new Vector(D);
for (int d = 0; d < D; d++)
{
velocity[d] = WallVelocities[d](x, time);
}
#if DEBUG
ilPSP.Vector n = new ilPSP.Vector(normal);
if (Math.Abs(velocity * n) > 1e-10)
{
throw new Exception(
"Wall velocity must be tangent to the wall");
}
#endif
// Kinetic energy is zero is solely determined by wall velocity
return(new StateVector(
stateIn.Material,
stateIn.Density,
stateIn.Density * velocity,
stateIn.Density * (innerEnergy + 0.5 * MachScaling * velocity * velocity)));
}
}
/// <summary>
/// Calculates the state at the boundary from the prescribed stagnation
/// pressure and the prescribed stagnation temperature. The calculation
/// follows FerzigerPeric2001 (p. 315ff). The flow is prescribed to be
/// normal to the edge.
/// </summary>
/// <returns>
/// \f$
/// T^+ = T_t(x) \frac{p_t(x)}{p^-}^{\frac{1.0 - \gamma}{\gamma}}
/// \f$
/// \f$
/// |\vec{u^+}| = \sqrt{\frac{2 T^+}{(\gamma - 1) \mathrm{Ma}_\infty^2} \left(\frac{T_t(x)}{T^+} -1\right)}
/// \f$
/// \f$ \rho^+ = \frac{p^- }{T^+}\f$
/// \f$
/// (\rho^+, -\rho^+ |\vec{u^+}| \vec{n}, \frac{p}{\kappa - 1} + \frac{rho^+ |\vec{u^+}|^2}{2})^T
/// \f$
/// </returns>
public override StateVector GetBoundaryState(double time, Vector x, Vector normal, StateVector stateIn)
{
double gamma = config.EquationOfState.HeatCapacityRatio;
double Mach = config.MachNumber;
ilPSP.Vector inwardNormal = new ilPSP.Vector(stateIn.Dimension);
for (int i = 0; i < normal.Dim; i++)
{
inwardNormal[i] = -normal[i];
}
double p0 = TotalPressureFunction(x, time);
double T0 = TotalTemperatureFunction(x, time);
double p = stateIn.Pressure;
double T = TotalTemperatureFunction(x, time) * Math.Pow(p0 / p, (1.0 - gamma) / gamma);
double rho = p / T;
double VelocitySquare = 2.0 * T / ((gamma - 1.0) * (Mach * Mach)) * (T0 / T - 1.0);
Vector velocityOut = Math.Sqrt(VelocitySquare) * inwardNormal;
return(StateVector.FromPrimitiveQuantities(stateIn.Material, rho, velocityOut, p));
}
public override double _DerivativeSource(ilPSP.Vector x, double[] Parameters, double[,] GradientU)
{
return(base._DerivativeSource(x, Parameters, GradientU) * scale);
}