public double InnerEdgeForm(ref CommonParams cp, double[] U_Neg, double[] U_Pos, double[,] Grad_uA, double[,] Grad_uB, double v_Neg, double v_Pos, double[] Grad_vA, double[] Grad_vB)
{
CommonParams inp = cp;
// Particle parameters
// =============================
FSI_ParameterAtIB coupling = m_getParticleParams(inp.X);
Vector orientation = new Vector(Math.Cos(coupling.Angle()), Math.Sin(coupling.Angle()));
double scaleActiveBoundary = orientation * new Vector(inp.Normal) > 0 && coupling.ActiveStress() != 0 ? 1 : 0;
// Level-set velocity
// =============================
double[] uLevSet_temp = new double[1];
if (m_d == 0)
{
uLevSet_temp[0] = coupling.VelocityAtPointOnLevelSet()[0];
}
else
{
uLevSet_temp[0] = coupling.VelocityAtPointOnLevelSet()[1];
}
// Outer values for Velocity and VelocityMean
// =============================
inp.Parameters_OUT = new double[inp.Parameters_IN.Length];
inp.Parameters_OUT[0] = coupling.VelocityAtPointOnLevelSet()[0];
inp.Parameters_OUT[1] = coupling.VelocityAtPointOnLevelSet()[1];
// Velocity0MeanVectorOut is set to zero, i.e. always LambdaIn is used.
inp.Parameters_OUT[2] = 0;
inp.Parameters_OUT[3] = 0;
// Computing Flux
// =============================
double FlxNeg = m_UseMovingMesh == true
? 0 // Moving mesh
: (this.NegFlux.InnerEdgeForm(ref inp, U_Neg, uLevSet_temp, null, null, v_Neg, 0, null, null)) * (1 - scaleActiveBoundary); // Splitting
return(FlxNeg);
}
/// <summary>
/// default-implementation
/// </summary>
public double InnerEdgeForm(ref CommonParams inp, double[] uA, double[] uB, double[,] Grad_uA, double[,] Grad_uB, double vA, double vB, double[] Grad_vA, double[] Grad_vB)
{
int dim = inp.Normal.Dim;
double _penalty = m_PenaltyFunc(m_penalty, inp.jCellIn);
// Particle parameters
// =====================
if (inp.X.IsNullOrEmpty())
{
throw new Exception("X is null or empty");
}
if (m_GetParticleParams == null)
{
throw new Exception("m_GetParticleParams is null or empty");
}
if (inp.X.Abs() < 0)
{
throw new ArithmeticException("invalid length of position vector");
}
FSI_ParameterAtIB coupling = m_GetParticleParams(inp.X);
if (coupling == null)
{
throw new Exception("coupling is null or empty");
}
Vector orientation = new Vector(Math.Cos(coupling.Angle()), Math.Sin(coupling.Angle()));
Vector orientationNormal = new Vector(-Math.Sin(coupling.Angle()), Math.Cos(coupling.Angle()));
Vector activeStressVector = orientationNormal * inp.Normal > 0 ? new Vector(-coupling.ActiveStress() * inp.Normal[1], coupling.ActiveStress() * inp.Normal[0])
: new Vector(coupling.ActiveStress() * inp.Normal[1], -coupling.ActiveStress() * inp.Normal[0]);
BoundaryConditionType bcType = orientation * inp.Normal <= 0 || coupling.ActiveStress() == 0 ? BoundaryConditionType.passive : BoundaryConditionType.active;
Debug.Assert(ArgumentOrdering.Count == dim);
Debug.Assert(Grad_uA.GetLength(0) == ArgumentOrdering.Count);
Debug.Assert(Grad_uB.GetLength(0) == ArgumentOrdering.Count);
Debug.Assert(Grad_uA.GetLength(1) == dim);
Debug.Assert(Grad_uB.GetLength(1) == dim);
// Gradient of u and v
// =====================
double Grad_uA_xN = 0, Grad_vA_xN = 0;
for (int d = 0; d < dim; d++)
{
Grad_uA_xN += Grad_uA[component, d] * inp.Normal[d];
Grad_vA_xN += Grad_vA[d] * inp.Normal[d];
}
double returnValue = 0.0;
// 3D for IBM_Solver
// =====================
if (dim == 3)
{
returnValue -= Grad_uA_xN * (vA); // consistency term
returnValue -= Grad_vA_xN * (uA[component] - 0); // symmetry term
returnValue += _penalty * (uA[component] - 0) * (vA); // penalty term
Debug.Assert(!(double.IsInfinity(returnValue) || double.IsNaN(returnValue)));
return(returnValue * muA);
}
// 2D
// =====================
Vector uAFict = coupling.VelocityAtPointOnLevelSet();
switch (bcType)
{
case BoundaryConditionType.passive: {
for (int d = 0; d < dim; d++)
{
returnValue -= muA * Grad_uA[component, d] * vA * inp.Normal[d];
returnValue -= muA * Grad_vA[d] * (uA[component] - uAFict[component]) * inp.Normal[d];
}
returnValue += muA * (uA[component] - uAFict[component]) * vA * _penalty;
break;
}
case BoundaryConditionType.active: {
// normal direction, solid wall
for (int dN = 0; dN < dim; dN++)
{
for (int dD = 0; dD < dim; dD++)
{
// consistency term
returnValue -= muA * (inp.Normal[dN] * Grad_uA[dN, dD] * inp.Normal[dD]) * vA * inp.Normal[component];
// symmetry term
returnValue -= muA * (Grad_vA[dD] * inp.Normal[dD]) * (inp.Normal[dN] * uA[dN] - inp.Normal[dN] * uAFict[dN]) * inp.Normal[component];
}
// penalty term
returnValue += muA * inp.Normal[dN] * (uA[dN] - uAFict[dN]) * inp.Normal[component] * vA * _penalty;
}
// tangential direction, active part
double[,] P = new double[dim, dim];
for (int d1 = 0; d1 < dim; d1++)
{
for (int d2 = 0; d2 < dim; d2++)
{
if (d1 == d2)
{
P[d1, d2] = 1 - inp.Normal[d1] * inp.Normal[d2];
}
else
{
P[d1, d2] = inp.Normal[d1] * inp.Normal[d2];
}
}
}
for (int d1 = 0; d1 < dim; d1++)
{
for (int d2 = 0; d2 < dim; d2++)
{
returnValue -= P[d1, d2] * activeStressVector[d2] * (P[d1, component] * vA);
}
}
break;
}
}
Debug.Assert(!(double.IsInfinity(returnValue) || double.IsNaN(returnValue)));
return(returnValue);
}
