拉格朗日求解器代码求助
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@李东岳 我忽略了第一个方程最后那个u和ub
R — 气泡半径
··R — 气泡半径对时间二阶导
·R — 气泡半径对时间一阶导
pv — 气泡内饱和蒸汽压（我这里设置的0，因为这个方程考虑了空化现象，我直接取的0）
pg — 气泡内部气压（根据第二个方程在计算）
p∞ — 气泡受到的液体压强（我这里使用PInterp插值，在DPMFoam求解器也自定义了个P=p*rhoc）
σ — 表面张力
pgo — 初始气泡内部压强
Ro — 初始气泡直径值得一提的是，修改完求解器之后，这个pgo和Ro我看我现在阅读的论文代码上是直接在KinematicCloudProperties的颗粒参数上进行了赋值。
在我上面那个KinematicParcel.C是主要算法，使用龙格库朗四阶对于这个二阶的方程进行的求解（他直接把方程2-49代入了2-48计算）。 -
\begin{equation}
r\frac{\p^2 r}{\p t^2}+1.5\frac{\p r}{\p t}=
\frac{1}{\rho}\left(p_{g0} \left(r_0/r\right)^{3\gamma} -p\rho_\rc-\frac{2\sigma}{r} - \frac{4\mu}{r}\frac{\p r}{\p t}\right)+\frac{(\bfU_\rc-\bfU)^2}{4}
\end{equation}我把这个方程简化成这个行不行
\begin{equation}
r\frac{\p^2 r}{\p t^2}+1.5\frac{\p r}{\p t}=A+\frac{(\bfU_\rc-\bfU)^2}{4}
\end{equation}$A=0$
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我在几年前做了个一拉格朗日粒子直径变化的代码。我现在已经记不起来太多了。能想起来的是：
- 粒子直径跟流场的湍流动能耗散率有关系
- 植入的是一个跟PBM有关的粒径变化方程，考虑了coalescense和破碎
- 代码可以编译并且测试过可以体现粒径变化
可以把下面的
MomentumCloud.C：替换到OpenFOAM原来的代码然后编译。搞明白之后看看思路然后适配到你们的算法上。MomentumCloud.C：
/*---------------------------------------------------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Copyright (C) 2011-2021 OpenFOAM Foundation \\/ M anipulation | ------------------------------------------------------------------------------- License This file is part of OpenFOAM. OpenFOAM is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. OpenFOAM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>. \*---------------------------------------------------------------------------*/ #include "MomentumCloud.H" #include "integrationScheme.H" #include "interpolation.H" #include "subCycleTime.H" #include "InjectionModelList.H" #include "DispersionModel.H" #include "PatchInteractionModel.H" #include "StochasticCollisionModel.H" #include "SurfaceFilmModel.H" // * * * * * * * * * * * * * Protected Member Functions * * * * * * * * * * // template<class CloudType> void Foam::MomentumCloud<CloudType>::setModels() { dispersionModel_.reset ( DispersionModel<MomentumCloud<CloudType>>::New ( subModelProperties_, *this ).ptr() ); patchInteractionModel_.reset ( PatchInteractionModel<MomentumCloud<CloudType>>::New ( subModelProperties_, *this ).ptr() ); stochasticCollisionModel_.reset ( StochasticCollisionModel<MomentumCloud<CloudType>>::New ( subModelProperties_, *this ).ptr() ); surfaceFilmModel_.reset ( SurfaceFilmModel<MomentumCloud<CloudType>>::New ( subModelProperties_, *this ).ptr() ); UIntegrator_.reset ( integrationScheme::New ( "U", solution_.integrationSchemes() ).ptr() ); } template<class CloudType> template<class TrackCloudType> void Foam::MomentumCloud<CloudType>::solve ( TrackCloudType& cloud, typename parcelType::trackingData& td ) { if (solution_.steadyState()) { cloud.storeState(); cloud.preEvolve(); evolveCloud(cloud, td); if (solution_.coupled()) { cloud.relaxSources(cloud.cloudCopy()); } } else { ///////////////////////////////// Info<< "Dyfluid: Evolve function in MomentumCloud.C" << nl; List<DynamicList<label>> PartLabelPre(U_.size()); List<DynamicList<label>> PartLabelPost(U_.size()); DynamicList<label> cellWithPartPre; DynamicList<label> cellWithPartPost; pNumber_.primitiveFieldRef() = 0.0; forAllIter(typename MomentumCloud<CloudType>, *this, iter) { parcelType& p = iter(); pNumber_[p.cell()] += p.nParticle(); PartLabelPre[p.cell()].append(p.origId()); } forAll(U_, cell) { if (PartLabelPre[cell].size() != 0) { cellWithPartPre.append(cell); } } //Info<< cellWithPartPre << nl; ///////////////////////////////// cloud.preEvolve(); evolveCloud(cloud, td); if (solution_.coupled()) { cloud.scaleSources(); } ///////////////////////////////// forAllIter(typename MomentumCloud<CloudType>, *this, iter) { parcelType& p = iter(); PartLabelPost[p.cell()].append(p.origId()); } const volScalarField& epsi = U_.mesh().lookupObject<volScalarField>("epsilon.water"); scalar C1 = 0.00481; scalar C2 = 0.08; scalar sigma = 0.072; scalar rhoc = 998.0; scalar D1 = 0.88; scalar D2 = 9e6; scalar muc = 1e-3; const scalar dt = this->mesh().time().deltaTValue(); forAll(U_, cell) { // if there are particles in some cell if (PartLabelPost[cell].size() != 0) { cellWithPartPost.append(cell); scalar allVolume = 0.0; scalar allnParticle = 0.0; scalar allnParticleNew = 0.0; scalar diamAve = 0.0; //Info<< "Cell [" << cell << "] has " << PartLabelPost[cell].size() // << " particles" << nl; // loop all over particles forAllIter(typename MomentumCloud<CloudType>, *this, iter) { parcelType& p = iter(); // loop particles label in this cell forAll(PartLabelPost[cell], i) { // if this particle belongs to this cell if (p.origId() == PartLabelPost[cell](i)) { allVolume += p.nParticle()*M_PI/6.0*pow3(p.d()); allnParticle += p.nParticle(); diamAve = pow(allVolume/allnParticle*6.0/M_PI, 1.0/3.0); //Info<< " Labels are " << PartLabelPost[cell](i) // << ", its nParticle is " << p.nParticle() // << ", volume is " << allVolume << nl; } } } const scalar d = diamAve; // cell manipulation, calculate average diameter if (d > SMALL) { const scalar epsilon = epsi[cell]; scalar gN = allnParticle*C1*pow(epsilon, 1.0/3.0)/pow(d, 2.0/3.0) *exp(-C2*sigma/(rhoc*pow(epsilon, 2.0/3.0)*pow(d, 5.0/3.0))); scalar aSqrN = sqr(allnParticle)*D1*pow(epsilon, 1.0/3.0)*4.0*sqrt(2.0)*pow(d, 7.0/6.0) *exp(-D2*muc*rhoc*epsilon/sqr(sigma)*pow4(d)/16.0); allnParticleNew = allnParticle + (gN - aSqrN)*dt; diamAve = diamAve*pow(allnParticle/allnParticleNew, 1.0/3.0); //Info<< "gN = " << gN << nl; //Info<< "aSqrN = " << aSqrN << nl; //Info<< "Particle increased by " << allnParticleNew - allnParticle << nl; //Info<< "diamAve is " << diamAve << nl; } scalar newVolume = 0.0; forAllIter(typename MomentumCloud<CloudType>, *this, iter) { parcelType& p = iter(); forAll(PartLabelPost[cell], i) { if (p.origId() == PartLabelPost[cell](i)) { p.nParticle() = allnParticleNew/PartLabelPost[cell].size(); p.d() = diamAve; newVolume += p.nParticle()*M_PI/6.0*pow3(p.d()); //Info<< " after brecoa, volume is " << newVolume // << "p.nParticle is " << p.nParticle() << nl; } } } } } ///////////////////////////////// } cloud.info(); cloud.postEvolve(); if (solution_.steadyState()) { cloud.restoreState(); } } template<class CloudType> void Foam::MomentumCloud<CloudType>::buildCellOccupancy() { if (cellOccupancyPtr_.empty()) { cellOccupancyPtr_.reset ( new List<DynamicList<parcelType*>>(this->mesh().nCells()) ); } else if (cellOccupancyPtr_().size() != this->mesh().nCells()) { // If the size of the mesh has changed, reset the // cellOccupancy size cellOccupancyPtr_().setSize(this->mesh().nCells()); } List<DynamicList<parcelType*>>& cellOccupancy = cellOccupancyPtr_(); forAll(cellOccupancy, cO) { cellOccupancy[cO].clear(); } forAllIter(typename MomentumCloud<CloudType>, *this, iter) { cellOccupancy[iter().cell()].append(&iter()); } } template<class CloudType> void Foam::MomentumCloud<CloudType>::updateCellOccupancy() { // Only build the cellOccupancy if the pointer is set, i.e. it has // been requested before. if (cellOccupancyPtr_.valid()) { buildCellOccupancy(); } } template<class CloudType> template<class TrackCloudType> void Foam::MomentumCloud<CloudType>::evolveCloud ( TrackCloudType& cloud, typename parcelType::trackingData& td ) { if (solution_.coupled()) { cloud.resetSourceTerms(); } if (solution_.transient()) { label preInjectionSize = this->size(); this->surfaceFilm().inject(cloud); // Update the cellOccupancy if the size of the cloud has changed // during the injection. if (preInjectionSize != this->size()) { updateCellOccupancy(); preInjectionSize = this->size(); } injectors_.inject(cloud, td); // Assume that motion will update the cellOccupancy as necessary // before it is required. cloud.motion(cloud, td); stochasticCollision().update(td, solution_.trackTime()); } else { // this->surfaceFilm().injectSteadyState(cloud); injectors_.injectSteadyState(cloud, td, solution_.trackTime()); CloudType::move(cloud, td, solution_.trackTime()); } } template<class CloudType> void Foam::MomentumCloud<CloudType>::postEvolve() { Info<< endl; if (debug) { this->writePositions(); } this->dispersion().cacheFields(false); forces_.cacheFields(false); functions_.postEvolve(); solution_.nextIter(); if (this->db().time().writeTime()) { outputProperties_.writeObject ( IOstream::ASCII, IOstream::currentVersion, this->db().time().writeCompression(), true ); } } template<class CloudType> void Foam::MomentumCloud<CloudType>::cloudReset(MomentumCloud<CloudType>& c) { CloudType::cloudReset(c); rndGen_ = c.rndGen_; forces_.transfer(c.forces_); functions_.transfer(c.functions_); injectors_.transfer(c.injectors_); dispersionModel_.reset(c.dispersionModel_.ptr()); patchInteractionModel_.reset(c.patchInteractionModel_.ptr()); stochasticCollisionModel_.reset(c.stochasticCollisionModel_.ptr()); surfaceFilmModel_.reset(c.surfaceFilmModel_.ptr()); UIntegrator_.reset(c.UIntegrator_.ptr()); } // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * // template<class CloudType> Foam::MomentumCloud<CloudType>::MomentumCloud ( const word& cloudName, const volScalarField& rho, const volVectorField& U, const volScalarField& mu, const dimensionedVector& g, const bool readFields ) : CloudType(cloudName, rho, U, mu, g, false), cloudCopyPtr_(nullptr), particleProperties_ ( IOobject ( cloudName + "Properties", this->mesh().time().constant(), this->mesh(), IOobject::MUST_READ_IF_MODIFIED, IOobject::NO_WRITE ) ), outputProperties_ ( IOobject ( cloudName + "OutputProperties", this->mesh().time().timeName(), "uniform"/cloud::prefix/cloudName, this->mesh(), IOobject::READ_IF_PRESENT, IOobject::NO_WRITE ) ), solution_(this->mesh(), particleProperties_.subDict("solution")), constProps_(particleProperties_), subModelProperties_ ( particleProperties_.subOrEmptyDict("subModels", true) ), rndGen_(0), cellOccupancyPtr_(), cellLengthScale_(mag(cbrt(this->mesh().V()))), pNumber_ ( IOobject ( "pNumbers", this->mesh().time().timeName(), this->mesh(), IOobject::NO_READ, IOobject::AUTO_WRITE ), this->mesh(), dimensionedScalar(dimless, 0.0) ), rho_(rho), U_(U), mu_(mu), g_(g), pAmbient_(0.0), forces_ ( *this, this->mesh(), subModelProperties_.subOrEmptyDict ( "particleForces", true ), true ), functions_ ( *this, particleProperties_.subOrEmptyDict("cloudFunctions"), true ), injectors_ ( subModelProperties_.subOrEmptyDict("injectionModels"), *this ), dispersionModel_(nullptr), patchInteractionModel_(nullptr), stochasticCollisionModel_(nullptr), surfaceFilmModel_(nullptr), UIntegrator_(nullptr), UTrans_ ( new volVectorField::Internal ( IOobject ( this->name() + ":UTrans", this->db().time().timeName(), this->db(), IOobject::READ_IF_PRESENT, IOobject::AUTO_WRITE ), this->mesh(), dimensionedVector(dimMass*dimVelocity, Zero) ) ), UCoeff_ ( new volScalarField::Internal ( IOobject ( this->name() + ":UCoeff", this->db().time().timeName(), this->db(), IOobject::READ_IF_PRESENT, IOobject::AUTO_WRITE ), this->mesh(), dimensionedScalar( dimMass, 0) ) ) { setModels(); if (readFields) { parcelType::readFields(*this); this->deleteLostParticles(); } if (solution_.resetSourcesOnStartup()) { resetSourceTerms(); } } template<class CloudType> Foam::MomentumCloud<CloudType>::MomentumCloud ( const word& cloudName, const volScalarField& rho, const volVectorField& U, const dimensionedVector& g, const fluidThermo& carrierThermo, const bool readFields ) : MomentumCloud(cloudName, rho, U, carrierThermo.mu(), g, readFields) {} template<class CloudType> Foam::MomentumCloud<CloudType>::MomentumCloud ( MomentumCloud<CloudType>& c, const word& name ) : CloudType(c, name), cloudCopyPtr_(nullptr), particleProperties_(c.particleProperties_), outputProperties_(c.outputProperties_), solution_(c.solution_), constProps_(c.constProps_), subModelProperties_(c.subModelProperties_), rndGen_(c.rndGen_), cellOccupancyPtr_(nullptr), cellLengthScale_(c.cellLengthScale_), pNumber_(c.pNumber_), rho_(c.rho_), U_(c.U_), mu_(c.mu_), g_(c.g_), pAmbient_(c.pAmbient_), forces_(c.forces_), functions_(c.functions_), injectors_(c.injectors_), dispersionModel_(c.dispersionModel_->clone()), patchInteractionModel_(c.patchInteractionModel_->clone()), stochasticCollisionModel_(c.stochasticCollisionModel_->clone()), surfaceFilmModel_(c.surfaceFilmModel_->clone()), UIntegrator_(c.UIntegrator_->clone()), UTrans_ ( new volVectorField::Internal ( IOobject ( this->name() + ":UTrans", this->db().time().timeName(), this->db(), IOobject::NO_READ, IOobject::NO_WRITE, false ), c.UTrans_() ) ), UCoeff_ ( new volScalarField::Internal ( IOobject ( name + ":UCoeff", this->db().time().timeName(), this->db(), IOobject::NO_READ, IOobject::NO_WRITE, false ), c.UCoeff_() ) ) {} template<class CloudType> Foam::MomentumCloud<CloudType>::MomentumCloud ( const fvMesh& mesh, const word& name, const MomentumCloud<CloudType>& c ) : CloudType(mesh, name, c), cloudCopyPtr_(nullptr), particleProperties_ ( IOobject ( name + "Properties", mesh.time().constant(), mesh, IOobject::NO_READ, IOobject::NO_WRITE, false ) ), outputProperties_ ( IOobject ( name + "OutputProperties", this->mesh().time().timeName(), "uniform"/cloud::prefix/name, this->mesh(), IOobject::NO_READ, IOobject::NO_WRITE, false ) ), solution_(mesh), constProps_(), subModelProperties_(dictionary::null), rndGen_(0), cellOccupancyPtr_(nullptr), cellLengthScale_(c.cellLengthScale_), pNumber_(c.pNumber_), rho_(c.rho_), U_(c.U_), mu_(c.mu_), g_(c.g_), pAmbient_(c.pAmbient_), forces_(*this, mesh), functions_(*this), injectors_(*this), dispersionModel_(nullptr), patchInteractionModel_(nullptr), stochasticCollisionModel_(nullptr), surfaceFilmModel_(nullptr), UIntegrator_(nullptr), UTrans_(nullptr), UCoeff_(nullptr) {} // * * * * * * * * * * * * * * * * Destructor * * * * * * * * * * * * * * * // template<class CloudType> Foam::MomentumCloud<CloudType>::~MomentumCloud() {} // * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * // template<class CloudType> void Foam::MomentumCloud<CloudType>::setParcelThermoProperties ( parcelType& parcel, const scalar lagrangianDt ) { parcel.rho() = constProps_.rho0(); } template<class CloudType> void Foam::MomentumCloud<CloudType>::checkParcelProperties ( parcelType& parcel, const scalar lagrangianDt, const bool fullyDescribed ) { const scalar carrierDt = this->mesh().time().deltaTValue(); parcel.stepFraction() = (carrierDt - lagrangianDt)/carrierDt; if (parcel.typeId() == -1) { parcel.typeId() = constProps_.parcelTypeId(); } } template<class CloudType> void Foam::MomentumCloud<CloudType>::storeState() { cloudCopyPtr_.reset ( static_cast<MomentumCloud<CloudType>*> ( clone(this->name() + "Copy").ptr() ) ); } template<class CloudType> void Foam::MomentumCloud<CloudType>::restoreState() { cloudReset(cloudCopyPtr_()); cloudCopyPtr_.clear(); } template<class CloudType> void Foam::MomentumCloud<CloudType>::resetSourceTerms() { UTransRef().field() = Zero; UCoeffRef().field() = 0.0; } template<class CloudType> template<class Type> void Foam::MomentumCloud<CloudType>::relax ( DimensionedField<Type, volMesh>& field, const DimensionedField<Type, volMesh>& field0, const word& name ) const { const scalar coeff = solution_.relaxCoeff(name); field = field0 + coeff*(field - field0); } template<class CloudType> template<class Type> void Foam::MomentumCloud<CloudType>::scale ( DimensionedField<Type, volMesh>& field, const word& name ) const { const scalar coeff = solution_.relaxCoeff(name); field *= coeff; } template<class CloudType> void Foam::MomentumCloud<CloudType>::relaxSources ( const MomentumCloud<CloudType>& cloudOldTime ) { this->relax(UTrans_(), cloudOldTime.UTrans_(), "U"); this->relax(UCoeff_(), cloudOldTime.UCoeff_(), "U"); } template<class CloudType> void Foam::MomentumCloud<CloudType>::scaleSources() { this->scale(UTrans_(), "U"); this->scale(UCoeff_(), "U"); } template<class CloudType> void Foam::MomentumCloud<CloudType>::preEvolve() { // force calculation of mesh dimensions - needed for parallel runs // with topology change due to lazy evaluation of valid mesh dimensions label nGeometricD = this->mesh().nGeometricD(); Info<< "\nSolving " << nGeometricD << "-D cloud " << this->name() << endl; this->dispersion().cacheFields(true); forces_.cacheFields(true); updateCellOccupancy(); pAmbient_ = constProps_.dict().template lookupOrDefault<scalar>("pAmbient", pAmbient_); functions_.preEvolve(); } template<class CloudType> void Foam::MomentumCloud<CloudType>::evolve() { if (solution_.canEvolve()) { typename parcelType::trackingData td(*this); solve(*this, td); } } template<class CloudType> template<class TrackCloudType> void Foam::MomentumCloud<CloudType>::motion ( TrackCloudType& cloud, typename parcelType::trackingData& td ) { CloudType::move(cloud, td, solution_.trackTime()); updateCellOccupancy(); } template<class CloudType> void Foam::MomentumCloud<CloudType>::patchData ( const parcelType& p, const polyPatch& pp, vector& nw, vector& Up ) const { p.patchData(nw, Up); Up /= p.mesh().time().deltaTValue(); // If this is a wall patch, then there may be a non-zero tangential velocity // component; the lid velocity in a lid-driven cavity case, for example. We // want the particle to interact with this velocity, so we look it up in the // velocity field and use it to set the wall-tangential component. if (!this->mesh().moving() && isA<wallPolyPatch>(pp)) { const label patchi = pp.index(); const label patchFacei = pp.whichFace(p.face()); // We only want to use the boundary condition value only if it is set // by the boundary condition. If the boundary values are extrapolated // (e.g., slip conditions) then they represent the motion of the fluid // just inside the domain rather than that of the wall itself. if (U_.boundaryField()[patchi].fixesValue()) { const vector Uw1 = U_.boundaryField()[patchi][patchFacei]; const vector& Uw0 = U_.oldTime().boundaryField()[patchi][patchFacei]; const scalar f = p.currentTimeFraction(); const vector Uw = Uw0 + f*(Uw1 - Uw0); const tensor nnw = nw*nw; Up = (nnw & Up) + Uw - (nnw & Uw); } } } template<class CloudType> void Foam::MomentumCloud<CloudType>::updateMesh() { updateCellOccupancy(); injectors_.updateMesh(); cellLengthScale_ = mag(cbrt(this->mesh().V())); } template<class CloudType> void Foam::MomentumCloud<CloudType>::autoMap(const mapPolyMesh& mapper) { Cloud<parcelType>::autoMap(mapper); updateMesh(); } template<class CloudType> void Foam::MomentumCloud<CloudType>::info() { vector linearMomentum = linearMomentumOfSystem(); reduce(linearMomentum, sumOp<vector>()); scalar linearKineticEnergy = linearKineticEnergyOfSystem(); reduce(linearKineticEnergy, sumOp<scalar>()); Info<< "Cloud: " << this->name() << nl << " Current number of parcels = " << returnReduce(this->size(), sumOp<label>()) << nl << " Current mass in system = " << returnReduce(massInSystem(), sumOp<scalar>()) << nl << " Linear momentum = " << linearMomentum << nl << " |Linear momentum| = " << mag(linearMomentum) << nl << " Linear kinetic energy = " << linearKineticEnergy << nl; injectors_.info(Info); this->surfaceFilm().info(Info); this->patchInteraction().info(Info); } // ************************************************************************* //
