1 //============================================================================
4 * \author Michael NDJINGA, Kieu Nguyen
7 * \brief The compressible Navier-Stokes equations
9 //============================================================================
11 /*! \class SinglePhase SinglePhase.hxx "SinglePhase.hxx"
12 * \brief The compressible Navier-Stokes equations
13 * \details The model consists in one mass, one momentum and one energy equation, see \ref NSModelsPage for more details
15 #ifndef SINGLEPHASE_HXX_
16 #define SINGLEPHASE_HXX_
18 #include "ProblemFluid.hxx"
20 class SinglePhase : public ProblemFluid{
23 * \brief Constructor for the Navier-Stokes system
24 * \param [in] phaseType : \ref Liquid or \ref Gas
25 * \param [in] pressureEstimate : \ref around1bar or \ref around155bars
26 * \param [in] int : mesh dimension
27 * \param [in] bool : There are two possible equations of state for the fluid
29 SinglePhase(phaseType fluid, pressureEstimate pEstimate,int dim,bool useDellacherieEOS=false);
30 //! system initialisation
33 //fonctions d'echange de flux
34 // void getOutputField(const Vec &Flux, const string Champ, const int numBord)=0;//, PetscInt *indices_Flux, PetscInt *indices_Bord, const long range)=0;
35 // double trace(const int &numBord, Vec &out)=0;
36 void testConservation();
40 /** \fn setIntletBoundaryCondition
41 * \brief adds a new boundary condition of type Inlet
43 * \param [in] string : the name of the boundary
44 * \param [in] double : the value of the temperature at the boundary
45 * \param [in] double : the value of the x component of the velocity at the boundary
46 * \param [in] double : the value of the y component of the velocity at the boundary
47 * \param [in] double : the value of the z component of the velocity at the boundary
50 void setInletBoundaryCondition(string groupName,double Temperature,double v_x=0, double v_y=0, double v_z=0){
51 _limitField[groupName]=LimitField(Inlet,-1,vector<double>(1,v_x),vector<double>(1,v_y),vector<double>(1,v_z),Temperature,-1,-1,-1);
53 /** \fn setIntletRotationBoundaryCondition
54 * \brief adds a new boundary condition of type InletRotationVelocity
56 * \param [in] string : the name of the boundary
57 * \param [in] double : the value of the temperature at the boundary
58 * \param [in] double : the components of the rotational of the inlet velocity
61 void setInletRotationBoundaryCondition(string groupName,double Temperature,double omega_x=0, double omega_y=0, double omega_z=0){
62 _limitField[groupName]=LimitField(InletRotationVelocity,0,vector<double>(1,omega_x),vector<double>(1,omega_y),vector<double>(1,omega_z),Temperature,-1,-1,-1);
64 /** \fn setIntletPressureBoundaryCondition
65 * \brief adds a new boundary condition of type InletPressure
67 * \param [in] string : the name of the boundary
68 * \param [in] double : the value of the pressure at the boundary
69 * \param [in] double : the value of the temperature at the boundary
70 * \param [in] double : the components of the rotational of the inlet velocity
73 void setInletPressureBoundaryCondition(string groupName, double pressure,double Temperature,double omega_x=0, double omega_y=0, double omega_z=0){
74 _limitField[groupName]=LimitField(InletPressure,pressure,vector<double>(1,omega_x),vector<double>(1,omega_y),vector<double>(1,omega_z),Temperature,-1,-1,-1);
76 /** \fn setIntletPressureBoundaryCondition
77 * \brief adds a new boundary condition of type InletPressure taking into account the hydrostatic pressure variations
78 * \details The pressure is not constant on the boundary but varies linearly with a slope given by the gravity vector
79 * \param [in] string : the name of the boundary
80 * \param [in] double : the value of the pressure at the boundary
81 * \param [in] double : the value of the temperature at the boundary
82 * \param [in] vector<double> : reference_point position on the boundary where the value Pressure will be imposed
85 void setInletPressureBoundaryCondition(string groupName, double pressure,double Temperature, vector<double> reference_point){
86 /* On the boundary we have P-Pref=rho g\cdot(x-xref) hence P=Pref-g\cdot xref + g\cdot x */
87 pressure-=reference_point[0]*_GravityField3d[0];
89 pressure-=reference_point[1]*_GravityField3d[1];
91 pressure-=reference_point[2]*_GravityField3d[2];
94 _limitField[groupName]=LimitField(InletPressure,pressure,vector<double>(0,0),vector<double>(0,0),vector<double>(0,0),Temperature,-1,-1,-1);
96 /** \fn setWallBoundaryCondition
97 * \brief adds a new boundary condition of type Wall
99 * \param [in] string : the name of the boundary
100 * \param [in] double : the value of the temperature at the boundary
101 * \param [in] double : the value of the x component of the velocity at the boundary
102 * \param [in] double : the value of the y component of the velocity at the boundary
103 * \param [in] double : the value of the z component of the velocity at the boundary
106 void setWallBoundaryCondition(string groupName,double Temperature=-1, double v_x=0, double v_y=0, double v_z=0){
108 _limitField[groupName]=LimitField(Wall,-1,vector<double>(1,v_x),vector<double>(1,v_y),vector<double>(1,v_z),Temperature,-1,-1,-1);
110 _limitField[groupName]=LimitField(Wall,-1,vector<double>(1,v_x),vector<double>(1,v_y),vector<double>(1,v_z),getReferenceTemperature(),-1,-1,-1);
113 /** \fn computeNewtonVariation
114 * \brief Builds and solves the linear system to obtain the variation Vkp1-Vk in a Newton scheme using primitive variables
117 void computeNewtonVariation();
119 /** \fn iterateTimeStep
120 * \brief calls computeNewtonVariation to perform one Newton iteration and tests the convergence
122 * @return boolean ok is true is the newton iteration gave a physically acceptable result
124 bool iterateTimeStep(bool &ok);
126 double getReferencePressure() { return _Pref; };
127 double getReferenceTemperature() { return _Tref; };
131 double _drho_sur_dp, _drho_sur_dT;//derivatives of the density rho wrt cv, p, T
132 double _drhoE_sur_dp, _drhoE_sur_dT;//derivatives of the total energy rho E wrt cv, p, T
133 bool _useDellacherieEOS;
134 double _Tref; //EOS reference temperature
135 double _Pref; //EOS reference pressure
137 //!calcule l'etat de Roe de deux etats
138 void convectionState( const long &i, const long &j, const bool &IsBord);
139 //!calcule la matrice de convection de l'etat interfacial entre deux cellules voisinnes
140 void convectionMatrices();
141 //!Calcule le flux pour un état et une porosité et une normale donnés
142 Vector convectionFlux(Vector U,Vector V, Vector normale, double porosity);
143 //!calcule la matrice de diffusion de l'etat interface pour la diffusion
144 void diffusionStateAndMatrices(const long &i,const long &j, const bool &IsBord);
145 //!Computes the source vector associated to the cell i
146 void sourceVector(PetscScalar * Si,PetscScalar * Ui,PetscScalar * Vi, int i);
147 //!Computes the pressure loss associated to the face ij
148 void pressureLossVector(PetscScalar * pressureLoss, double K, PetscScalar * Ui, PetscScalar * Vi, PetscScalar * Uj, PetscScalar * Vj);
149 //!Computes the contribution of the porosity gradient associated to the face ij to the source term
150 void porosityGradientSourceVector();
151 //!Calcule la jacobienne de la CL convection
152 void jacobian(const int &j, string nameOfGroup,double * normale);
153 //!Calcule la jacobienne de la CL de diffusion
154 void jacobianDiff(const int &j, string nameOfGroup);
155 //!Calcule l'etat fictif a la frontiere
156 void setBoundaryState(string nameOfGroup, const int &j,double *normale);// delete &nf Kieu
157 //!Adds the contribution of diffusion to the RHS
158 void addDiffusionToSecondMember(const int &i,const int &j,bool isBord);
159 //!Computation of the Roe matrix
160 void RoeMatrixConservativeVariables(double u_n, double total_enthalpy,Vector velocity, double k, double K);
161 void convectionMatrixPrimitiveVariables( double rho, double u_n, double H,Vector velocity);
162 //!Computation of the staggered Roe upwinding matrix in conservative variables
163 void staggeredRoeUpwindingMatrixConservativeVariables( double u_n, double total_enthalpy, Vector velocity, double k, double K);
164 //!Computation of the staggered Roe upwinding matrix in primitive variables
165 void staggeredRoeUpwindingMatrixPrimitiveVariables(double density, double u_n,double total_enthalpy, Vector velocity);
166 /**** staggered VFFC scheme has some specific features (no need for Roe matrix), hence some specific functions ******/
167 //!Computes the interfacial flux for the VFFC formulation of the staggered upwinding
168 Vector staggeredVFFCFlux();
169 //!Computes the matrices A^+ and A^- for the VFFC formulation of the staggered upwinding
170 void staggeredVFFCMatricesConservativeVariables(double u_n);
171 //!Computes the matrices A^+ and A^- for the VFFC formulation of the staggered upwinding using Primitive Variables
172 void staggeredVFFCMatricesPrimitiveVariables(double u_n);
173 //!Compute the corrected interfacial state for lowMach, pressureCorrection and staggered versions of the VFRoe formulation
174 void applyVFRoeLowMachCorrections(bool isBord, string groupname="");
175 //!Special preconditioner based on a matrix scaling strategy
176 void computeScaling(double offset);
177 //!Calcule les saut de valeurs propres pour la correction entropique
178 void entropicShift(double* n);
179 // Fonctions utilisant la loi d'etat
180 void consToPrim(const double *Ucons, double* Vprim,double porosity=1);
181 void primToCons(const double *V, const int &i, double *U, const int &j);
182 void primToConsJacobianMatrix(double *V);
183 /** \fn getDensityDerivatives
184 * \brief Computes the partial derivatives of rho, and rho E with regard to the primitive variables p and T
187 * @param square of the velocity vector
189 void getDensityDerivatives( double pressure, double temperature, double v2);
192 #endif /* SINGLEPHASE_HXX_*/