//====================
// Continuity equation
//====================
#region conti
/// <summary>
///
/// </summary>
/// <param name="XOp"></param>
/// <param name="config"></param>
/// <param name="D"></param>
/// <param name="spcName"></param>
/// <param name="spcId"></param>
/// <param name="BcMap"></param>
public static void AddSpeciesContinuityEq(XSpatialOperatorMk2 XOp, INSE_Configuration config, int D,
string spcName, SpeciesId spcId, IncompressibleMultiphaseBoundaryCondMap BcMap)
{
// check input
if (XOp.IsCommited)
{
throw new InvalidOperationException("Spatial Operator is already comitted. Adding of new components is not allowed");
}
string CodName = EquationNames.ContinuityEquation;
if (!XOp.CodomainVar.Contains(CodName))
{
throw new ArgumentException("CoDomain variable \"" + CodName + "\" is not defined in Spatial Operator");
}
PhysicalParameters physParams = config.getPhysParams;
DoNotTouchParameters dntParams = config.getDntParams;
// set species arguments
double rhoSpc;
switch (spcName)
{
case "A": { rhoSpc = physParams.rho_A; break; }
case "B": { rhoSpc = physParams.rho_B; break; }
default: throw new ArgumentException("Unknown species.");
}
// set components
var comps = XOp.EquationComponents[CodName];
for (int d = 0; d < D; d++)
{
var src = new Operator.Continuity.DivergenceInSpeciesBulk_Volume(d, D, spcName, rhoSpc, dntParams.ContiSign, dntParams.RescaleConti);
comps.Add(src);
var flx = new Operator.Continuity.DivergenceInSpeciesBulk_Edge(d, BcMap, spcName, spcId, rhoSpc, dntParams.ContiSign, dntParams.RescaleConti);
comps.Add(flx);
//var stab = new PressureStabilizationInBulk(dntParams.PresPenalty2, physParams.reynolds_A, physParams.reynolds_B, spcName, spcId);
//comps.Add(stab);
}
}
public OperatorFactoryMk2(
OperatorConfigurationMk2 config,
LevelSetTracker _LsTrk,
int _HMFdegree,
int degU,
IncompressibleMultiphaseBoundaryCondMap BcMap,
bool _movingmesh,
bool _evaporation)
{
// variable names
// ==============
D = _LsTrk.GridDat.SpatialDimension;
this.LsTrk = _LsTrk;
this.HMFDegree = _HMFdegree;
this.dntParams = config.dntParams.CloneAs();
this.physParams = config.physParams.CloneAs();
this.UseExtendedVelocity = config.UseXDG4Velocity;
this.movingmesh = _movingmesh;
this.evaporation = _evaporation;
// test input
// ==========
{
if (config.DomBlocks.GetLength(0) != 2 || config.CodBlocks.GetLength(0) != 2)
{
throw new ArgumentException();
}
if (config.physParams.mu_A == 0.0 && config.physParams.mu_B == 0.0)
{
muIs0 = true;
}
else
{
if (config.physParams.mu_A <= 0)
{
throw new ArgumentException();
}
if (config.physParams.mu_B <= 0)
{
throw new ArgumentException();
}
}
if (config.physParams.rho_A <= 0)
{
throw new ArgumentException();
}
if (config.physParams.rho_B <= 0)
{
throw new ArgumentException();
}
if (_LsTrk.SpeciesNames.Count != 2)
{
throw new ArgumentException();
}
if (!(_LsTrk.SpeciesNames.Contains("A") && _LsTrk.SpeciesNames.Contains("B")))
{
throw new ArgumentException();
}
}
// full operator:
CodName = ((new string[] { "momX", "momY", "momZ" }).GetSubVector(0, D)).Cat("div");
Params = ArrayTools.Cat(
VariableNames.Velocity0Vector(D),
VariableNames.Velocity0MeanVector(D),
"Curvature",
(new string[] { "surfForceX", "surfForceY", "surfForceZ" }).GetSubVector(0, D),
(new string[] { "NX", "NY", "NZ" }).GetSubVector(0, D),
(new string[] { "GradTempX", "GradTempY", "GradTempZ" }.GetSubVector(0, D)),
VariableNames.Temperature,
"DisjoiningPressure");
DomName = ArrayTools.Cat(VariableNames.VelocityVector(D), VariableNames.Pressure);
// selected part:
if (config.CodBlocks[0])
{
CodNameSelected = ArrayTools.Cat(CodNameSelected, CodName.GetSubVector(0, D));
}
if (config.CodBlocks[1])
{
CodNameSelected = ArrayTools.Cat(CodNameSelected, CodName.GetSubVector(D, 1));
}
if (config.DomBlocks[0])
{
DomNameSelected = ArrayTools.Cat(DomNameSelected, DomName.GetSubVector(0, D));
}
if (config.DomBlocks[1])
{
DomNameSelected = ArrayTools.Cat(DomNameSelected, DomName.GetSubVector(D, 1));
}
muA = config.physParams.mu_A;
muB = config.physParams.mu_B;
rhoA = config.physParams.rho_A;
rhoB = config.physParams.rho_B;
sigma = config.physParams.Sigma;
MatInt = !evaporation;
double kA = config.thermParams.k_A;
double kB = config.thermParams.k_B;
double hVapA = config.thermParams.hVap_A;
double hVapB = config.thermParams.hVap_B;
double Tsat = config.thermParams.T_sat;
double R_int = 0.0;
//double T_intMin = 0.0;
if (evaporation)
{
double f = config.thermParams.fc;
double R = config.thermParams.Rc;
//double pc = config.thermParams.pc;
if (config.thermParams.hVap_A > 0 && config.thermParams.hVap_B < 0)
{
R_int = ((2.0 - f) / (2 * f)) * Tsat * Math.Sqrt(2 * Math.PI * R * Tsat) / (rhoB * hVapA.Pow2());
//T_intMin = Tsat * (1 + (pc / (rhoA * hVapA.Pow2())));
}
else if (config.thermParams.hVap_A < 0 && config.thermParams.hVap_B > 0)
{
R_int = ((2.0 - f) / (2 * f)) * Tsat * Math.Sqrt(2 * Math.PI * R * Tsat) / (rhoA * hVapB.Pow2());
//T_intMin = Tsat * (1 + (pc / (rhoB * hVapB.Pow2())));
}
this.CurvatureRequired = true;
}
double p_c = config.thermParams.pc;
// create Operator
// ===============
m_OP = new XSpatialOperatorMk2(DomNameSelected, Params, CodNameSelected, (A, B, C) => _HMFdegree, this.LsTrk.SpeciesIdS.ToArray());
// build the operator
// ==================
{
// Momentum equation
// =================
if (config.physParams.IncludeConvection && config.Transport)
{
for (int d = 0; d < D; d++)
{
var comps = m_OP.EquationComponents[CodName[d]];
double LFFA = config.dntParams.LFFA;
double LFFB = config.dntParams.LFFB;
//var conv = new Operator.Convection.ConvectionInBulk_LLF(D, BcMap, d, rhoA, rhoB, LFFA, LFFB, LsTrk);
//comps.Add(conv); // Bulk component
for (int spc = 0; spc < LsTrk.TotalNoOfSpecies; spc++)
{
double rhoSpc = 0.0;
double LFFSpc = 0.0;
switch (LsTrk.SpeciesNames[spc])
{
case "A": rhoSpc = rhoA; LFFSpc = LFFA; break;
case "B": rhoSpc = rhoB; LFFSpc = LFFB; break;
default: throw new ArgumentException("Unknown species.");
}
var conv = new Operator.Convection.ConvectionInSpeciesBulk_LLF(D, BcMap, LsTrk.SpeciesNames[spc], LsTrk.SpeciesIdS[spc], d, rhoSpc, LFFSpc, LsTrk);
comps.Add(conv); // Bulk component
}
comps.Add(new Operator.Convection.ConvectionAtLevelSet_LLF(d, D, LsTrk, rhoA, rhoB, LFFA, LFFB, config.physParams.Material, BcMap, movingmesh)); // LevelSet component
if (evaporation)
{
comps.Add(new Operator.Convection.GeneralizedConvectionAtLevelSet_DissipativePart(d, D, LsTrk, rhoA, rhoB, LFFA, LFFB, BcMap, kA, kB, hVapA, hVapB, R_int, Tsat, sigma, p_c));
}
}
this.U0meanrequired = true;
}
// pressure gradient
// =================
if (config.PressureGradient)
{
for (int d = 0; d < D; d++)
{
var comps = m_OP.EquationComponents[CodName[d]];
//var pres = new Operator.Pressure.PressureInBulk(d, BcMap);
//comps.Add(pres);
for (int spc = 0; spc < LsTrk.TotalNoOfSpecies; spc++)
{
var pres = new Operator.Pressure.PressureInSpeciesBulk(d, BcMap, LsTrk.SpeciesNames[spc], LsTrk.SpeciesIdS[spc]);
comps.Add(pres);
}
var presLs = new Operator.Pressure.PressureFormAtLevelSet(d, D, LsTrk); //, dntParams.UseWeightedAverages, muA, muB);
comps.Add(presLs);
}
}
// viscous operator
// ================
if (config.Viscous && !muIs0)
{
for (int d = 0; d < D; d++)
{
var comps = m_OP.EquationComponents[CodName[d]];
double penalty = dntParams.PenaltySafety;
switch (dntParams.ViscosityMode)
{
case ViscosityMode.Standard: {
// Bulk operator:
var Visc = new Operator.Viscosity.ViscosityInBulk_GradUTerm(
dntParams.UseGhostPenalties ? 0.0 : penalty, 1.0,
BcMap, d, D, muA, muB); // , _betaA: this.physParams.betaS_A, _betaB: this.physParams.betaS_B);
comps.Add(Visc);
if (dntParams.UseGhostPenalties)
{
var ViscPenalty = new Operator.Viscosity.ViscosityInBulk_GradUTerm(penalty * 1.0, 0.0, BcMap, d, D, muA, muB);
m_OP.GhostEdgesOperator.EquationComponents[CodName[d]].Add(ViscPenalty);
}
// Level-Set operator:
comps.Add(new Operator.Viscosity.ViscosityAtLevelSet_Standard(LsTrk, muA, muB, penalty * 1.0, d, true));
break;
}
case ViscosityMode.TransposeTermMissing: {
// Bulk operator:
var Visc = new Operator.Viscosity.ViscosityInBulk_GradUTerm(
dntParams.UseGhostPenalties ? 0.0 : penalty, 1.0,
BcMap, d, D, muA, muB);
comps.Add(Visc);
if (dntParams.UseGhostPenalties)
{
var ViscPenalty = new Operator.Viscosity.ViscosityInBulk_GradUTerm(penalty * 1.0, 0.0, BcMap, d, D, muA, muB);
m_OP.GhostEdgesOperator.EquationComponents[CodName[d]].Add(ViscPenalty);
}
// Level-Set operator:
comps.Add(new Operator.Viscosity.ViscosityAtLevelSet_Standard(LsTrk, muA, muB, penalty * 1.0, d, false));
break;
}
case ViscosityMode.FullySymmetric: {
// Bulk operator
for (int spc = 0; spc < LsTrk.TotalNoOfSpecies; spc++)
{
var Visc1 = new Operator.Viscosity.ViscosityInSpeciesBulk_GradUTerm(
dntParams.UseGhostPenalties ? 0.0 : penalty, 1.0,
BcMap, LsTrk.SpeciesNames[spc], LsTrk.SpeciesIdS[spc], d, D, muA, muB);
comps.Add(Visc1);
var Visc2 = new Operator.Viscosity.ViscosityInSpeciesBulk_GradUtranspTerm(
dntParams.UseGhostPenalties ? 0.0 : penalty, 1.0,
BcMap, LsTrk.SpeciesNames[spc], LsTrk.SpeciesIdS[spc], d, D, muA, muB);
comps.Add(Visc2);
}
if (dntParams.UseGhostPenalties)
{
var Visc1Penalty = new Operator.Viscosity.ViscosityInBulk_GradUTerm(
penalty, 0.0,
BcMap, d, D, muA, muB);
var Visc2Penalty = new Operator.Viscosity.ViscosityInBulk_GradUtranspTerm(
penalty, 0.0,
BcMap, d, D, muA, muB);
m_OP.GhostEdgesOperator.EquationComponents[CodName[d]].Add(Visc1Penalty);
m_OP.GhostEdgesOperator.EquationComponents[CodName[d]].Add(Visc2Penalty);
}
// Level-Set operator
comps.Add(new Operator.Viscosity.ViscosityAtLevelSet_FullySymmetric(LsTrk, muA, muB, penalty, d, dntParams.UseWeightedAverages));
if (this.evaporation)
{
comps.Add(new Operator.Viscosity.GeneralizedViscosityAtLevelSet_FullySymmetric(LsTrk, muA, muB, penalty, d, rhoA, rhoB, kA, kB, hVapA, R_int, Tsat, sigma, p_c));
}
break;
}
default:
throw new NotImplementedException();
}
}
}
// Continuum equation
// ==================
if (config.continuity)
{
for (int d = 0; d < D; d++)
{
//var src = new Operator.Continuity.DivergenceInBulk_Volume(d, D, rhoA, rhoB, config.dntParams.ContiSign, config.dntParams.RescaleConti);
//var flx = new Operator.Continuity.DivergenceInBulk_Edge(d, BcMap, rhoA, rhoB, config.dntParams.ContiSign, config.dntParams.RescaleConti);
//m_OP.EquationComponents["div"].Add(flx);
//m_OP.EquationComponents["div"].Add(src);
for (int spc = 0; spc < LsTrk.TotalNoOfSpecies; spc++)
{
double rhoSpc = 0.0;
switch (LsTrk.SpeciesNames[spc])
{
case "A": rhoSpc = rhoA; break;
case "B": rhoSpc = rhoB; break;
default: throw new ArgumentException("Unknown species.");
}
var src = new Operator.Continuity.DivergenceInSpeciesBulk_Volume(d, D, LsTrk.SpeciesIdS[spc], rhoSpc, config.dntParams.ContiSign, config.dntParams.RescaleConti);
var flx = new Operator.Continuity.DivergenceInSpeciesBulk_Edge(d, BcMap, LsTrk.SpeciesNames[spc], LsTrk.SpeciesIdS[spc], rhoSpc, config.dntParams.ContiSign, config.dntParams.RescaleConti);
m_OP.EquationComponents["div"].Add(flx);
m_OP.EquationComponents["div"].Add(src);
}
}
var divPen = new Operator.Continuity.DivergenceAtLevelSet(D, LsTrk, rhoA, rhoB, MatInt, config.dntParams.ContiSign, config.dntParams.RescaleConti); //, dntParams.UseWeightedAverages, muA, muB);
m_OP.EquationComponents["div"].Add(divPen);
if (evaporation)
{
var divPenGen = new Operator.Continuity.GeneralizedDivergenceAtLevelSet(D, LsTrk, rhoA, rhoB, config.dntParams.ContiSign, config.dntParams.RescaleConti, kA, kB, hVapA, R_int, Tsat, sigma, p_c);
m_OP.EquationComponents["div"].Add(divPenGen);
}
}
// surface tension
// ===============
if (config.PressureGradient && config.physParams.Sigma != 0.0)
{
// isotropic part of the surface stress tensor
if (config.dntParams.SST_isotropicMode == SurfaceStressTensor_IsotropicMode.LaplaceBeltrami_Flux ||
config.dntParams.SST_isotropicMode == SurfaceStressTensor_IsotropicMode.LaplaceBeltrami_Local ||
config.dntParams.SST_isotropicMode == SurfaceStressTensor_IsotropicMode.LaplaceBeltrami_ContactLine)
{
for (int d = 0; d < D; d++)
{
if (config.dntParams.SST_isotropicMode != SurfaceStressTensor_IsotropicMode.LaplaceBeltrami_ContactLine)
{
IEquationComponent G = new SurfaceTension_LaplaceBeltrami_Surface(d, config.physParams.Sigma * 0.5);
IEquationComponent H = new SurfaceTension_LaplaceBeltrami_BndLine(d, config.physParams.Sigma * 0.5, config.dntParams.SST_isotropicMode == SurfaceStressTensor_IsotropicMode.LaplaceBeltrami_Flux);
m_OP.SurfaceElementOperator.EquationComponents[CodName[d]].Add(G);
m_OP.SurfaceElementOperator.EquationComponents[CodName[d]].Add(H);
}
else
{
IEquationComponent isoSurfT = new IsotropicSurfaceTension_LaplaceBeltrami(d, D, config.physParams.Sigma * 0.5, BcMap.EdgeTag2Type, config.physParams.theta_e, config.physParams.betaL);
m_OP.SurfaceElementOperator.EquationComponents[CodName[d]].Add(isoSurfT);
}
}
this.NormalsRequired = true;
}
else if (config.dntParams.SST_isotropicMode == SurfaceStressTensor_IsotropicMode.Curvature_Projected ||
config.dntParams.SST_isotropicMode == SurfaceStressTensor_IsotropicMode.Curvature_ClosestPoint ||
config.dntParams.SST_isotropicMode == SurfaceStressTensor_IsotropicMode.Curvature_LaplaceBeltramiMean ||
config.dntParams.SST_isotropicMode == SurfaceStressTensor_IsotropicMode.Curvature_Fourier)
{
for (int d = 0; d < D; d++)
{
m_OP.EquationComponents[CodName[d]].Add(new CurvatureBasedSurfaceTension(d, D, LsTrk, config.physParams.Sigma));
}
this.CurvatureRequired = true;
}
else
{
throw new NotImplementedException("Not implemented.");
}
// dynamic part
if (config.dntParams.SurfStressTensor != SurfaceSressTensor.Isotropic)
{
double muI = config.physParams.mu_I;
double lamI = config.physParams.lambda_I;
double penalty_base = (degU + 1) * (degU + D) / D;
double penalty = penalty_base * dntParams.PenaltySafety;
// surface shear viscosity
if (config.dntParams.SurfStressTensor == SurfaceSressTensor.SurfaceRateOfDeformation ||
config.dntParams.SurfStressTensor == SurfaceSressTensor.SemiImplicit ||
config.dntParams.SurfStressTensor == SurfaceSressTensor.FullBoussinesqScriven)
{
for (int d = 0; d < D; d++)
{
var surfDeformRate = new BoussinesqScriven_SurfaceDeformationRate_GradU(d, muI * 0.5, penalty);
m_OP.SurfaceElementOperator.EquationComponents[CodName[d]].Add(surfDeformRate);
if (config.dntParams.SurfStressTensor != SurfaceSressTensor.SemiImplicit)
{
var surfDeformRateT = new BoussinesqScriven_SurfaceDeformationRate_GradUTranspose(d, muI * 0.5, penalty);
m_OP.SurfaceElementOperator.EquationComponents[CodName[d]].Add(surfDeformRateT);
}
}
}
// surface dilatational viscosity
if (config.dntParams.SurfStressTensor == SurfaceSressTensor.SurfaceVelocityDivergence ||
config.dntParams.SurfStressTensor == SurfaceSressTensor.FullBoussinesqScriven)
{
for (int d = 0; d < D; d++)
{
var surfVelocDiv = new BoussinesqScriven_SurfaceVelocityDivergence(d, muI * 0.5, lamI * 0.5, penalty, BcMap.EdgeTag2Type);
m_OP.SurfaceElementOperator.EquationComponents[CodName[d]].Add(surfVelocDiv);
}
}
}
// stabilization
if (config.dntParams.UseLevelSetStabilization)
{
for (int d = 0; d < D; d++)
{
m_OP.EquationComponents[CodName[d]].Add(new LevelSetStabilization(d, D, LsTrk));
}
}
}
// surface force term
// ==================
if (config.PressureGradient && config.physParams.useArtificialSurfaceForce)
{
for (int d = 0; d < D; d++)
{
m_OP.EquationComponents[CodName[d]].Add(new SurfaceTension_ArfForceSrc(d, D, LsTrk));
}
}
// evaporation (mass flux)
// =======================
if (evaporation)
{
for (int d = 0; d < D; d++)
{
m_OP.EquationComponents[CodName[d]].Add(new Operator.DynamicInterfaceConditions.MassFluxAtInterface(d, D, LsTrk, rhoA, rhoB, kA, kB, hVapA, R_int, Tsat, sigma, p_c));
}
}
}
// Finalize
// ========
m_OP.Commit();
}
