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Implementation of a parametrized full order unsteady NS problem and preparation of the the reduced matrices for the online solve. More...
#include <UnsteadyNSExplicit.H>
Public Member Functions | |
| UnsteadyNSExplicit () | |
| Construct Null. | |
| UnsteadyNSExplicit (int argc, char *argv[]) | |
| Construct with argc and argv. | |
| void | truthSolve (List< scalar > mu_now, fileName folder="./ITHACAoutput/Offline/") |
| Perform a truthsolve. | |
 Public Member Functions inherited from unsteadyNS | |
| unsteadyNS () | |
| Construct Null. | |
| unsteadyNS (int argc, char *argv[]) | |
| Construct with argc and argv. | |
| void | truthSolve (List< scalar > mu_now, fileName folder="./ITHACAoutput/Offline/") |
| Perform a truthsolve. | |
| Public Member Functions inherited from steadyNS | |
| steadyNS () | |
| Null constructor. | |
| steadyNS (int argc, char *argv[]) | |
| Construct with argc and argv. | |
| ~steadyNS () | |
| void | truthSolve (List< scalar > mu_now) |
| Perform a truthsolve. | |
| void | solvesupremizer (word type="snapshots") |
| solve the supremizer either with the use of the pressure snaphots or the pressure modes | |
| void | liftSolve () |
| Perform a lift solve. | |
| void | projectPPE (fileName folder, label NUmodes, label NPmodes, label NSUPmodes=0) |
| Project using the Poisson Equation for pressure. | |
| void | projectSUP (fileName folder, label NUmodes, label NPmodes, label NSUPmodes) |
| Project using a supremizer approach. | |
| void | discretizeThenProject (fileName folder, label NUmodes, label NPmodes, label NSUPmodes=0) |
| Project using the Discretize-then-project approach. | |
| Eigen::MatrixXd | diffusive_term (label NUmodes, label NPmodes, label NSUPmodes) |
| Diffusive Term. | |
| Eigen::MatrixXd | diffusive_term_sym (label NUmodes, label NPmodes, label NSUPmodes) |
| Symetric diffusive Term. | |
| Eigen::MatrixXd | pressure_gradient_term (label NUmodes, label NPmodes, label NSUPmodes) |
| Gradient of pressure. | |
| List< Eigen::MatrixXd > | convective_term (label NUmodes, label NPmodes, label NSUPmodes) |
| Convective Term. | |
| Eigen::MatrixXd | mass_term (label NUmodes, label NPmodes, label NSUPmodes) |
| Mass Term. | |
| Eigen::MatrixXd | divergence_term (label NUmodes, label NPmodes, label NSUPmodes) |
| Divergence Term (supremizer approach) | |
| List< Eigen::MatrixXd > | div_momentum (label NUmodes, label NPmodes) |
| Divergence of convective term (PPE approach) | |
| Eigen::Tensor< double, 3 > | divMomentum (label NUmodes, label NPmodes) |
| Divergence of convective term (PPE approach) | |
| Eigen::Tensor< double, 3 > | divMomentum_cache (label NUmodes, label NPmodes) |
| Divergence of convective term (PPE approach) using the cached procedure. | |
| Eigen::MatrixXd | laplacian_pressure (label NPmodes) |
| Laplacian of pressure term (PPE approach) | |
| Eigen::MatrixXd | convective_background (label NUmodes, volVectorField vls) |
| Large Scale / Background Advection. | |
| Eigen::MatrixXd | divergent_convective_background (label NPmodes, label NUmodes, volVectorField vls) |
| Divergent of Large Scale / Background Advection. | |
| Eigen::MatrixXd | pressure_BC1 (label NPmodes, label NUmodes) |
| Term N° 1 given by the additional boundary condition using a PPE approach. | |
| List< Eigen::MatrixXd > | pressure_BC2 (label NPmodes, label NUmodes) |
| Term N° 2 given by the additional boundary condition using a PPE approach. | |
| Eigen::Tensor< double, 3 > | pressureBC2 (label NPmodes, label NUmodes) |
| Term N° 2 given by the additional boundary condition using a PPE approach. | |
| Eigen::MatrixXd | pressure_BC3 (label NPmodes, label NUmodes) |
| Term N° 3 given by the additional boundary condition using a PPE approach. | |
| Eigen::MatrixXd | pressure_BC4 (label NPmodes, label NUmodes) |
| Term N° 4 given by the additional boundary condition using a PPE approach for time-dependent BCs. | |
| List< Eigen::MatrixXd > | bcVelocityVec (label NUmodes, label NSUPmodes) |
| Boundary integral modes on boundary used by the penaly method. | |
| List< Eigen::MatrixXd > | bcVelocityMat (label NUmodes, label NSUPmodes) |
| Boundary integral modes on boundary used by the penaly method. | |
| Eigen::MatrixXd | diffusive_term_flux_method (label NUmodes, label NPmodes, label NSUPmodes) |
| Diffusive Flux Method. | |
| List< Eigen::MatrixXd > | boundary_vector_diffusion (label NUmodes, label NPmodes, label NSUPmodes) |
| Boundary vector diffusion term. | |
| List< Eigen::MatrixXd > | boundary_vector_convection (label NUmodes, label NPmodes, label NSUPmodes) |
| Boundary vector convection term. | |
| Eigen::Tensor< double, 3 > | convective_term_flux_tens (label NUmodes, label NPmodes, label NSUPmodes) |
| Convective Term. | |
| List< Eigen::MatrixXd > | pressure_gradient_term_linsys_div (label NPmodes) |
| Laplacian of pressure Linear System - Divergence term. | |
| List< Eigen::MatrixXd > | pressure_gradient_term_linsys_diff (label NPmodes) |
| Laplacian of pressure Linear System - Diffusion term. | |
| List< Eigen::MatrixXd > | pressure_gradient_term_linsys_conv (label NPmodes) |
| Laplacian of pressure Linear System - Convection term. | |
| Eigen::MatrixXd | diffusive_term_consistent (label NUmodes, label NPmodes, label NSUPmodes) |
| Diffusion Term (consistent flux method) | |
| List< Eigen::MatrixXd > | boundary_vector_diffusion_consistent (label NUmodes, label NSUPmodes) |
| Boundary vector diffusion term (consistent flux method) | |
| List< Eigen::MatrixXd > | boundary_vector_convection_consistent (label NUmodes, label NSUPmodes) |
| Boundary vector convection term - Consistent Flux Method. | |
| Eigen::MatrixXd | mass_matrix_newtime_consistent (label NUmodes, label NPmodes, label NSUPmodes) |
| Mass Matrix new time step (consistent flux method) | |
| Eigen::MatrixXd | mass_matrix_oldtime_consistent (label NUmodes, label NPmodes, label NSUPmodes) |
| Mass Matrix old time step (consistent flux method) | |
| Eigen::MatrixXd | pressure_gradient_term_consistent (label NUmodes, label NPmodes, label NSUPmodes) |
| Pressure Gradient Term (consistent flux method) | |
| Eigen::Tensor< double, 3 > | convective_term_consistent_tens (label NUmodes, label NPmodes, label NSUPmodes) |
| Convective Term (consistent flux method) | |
| void | change_viscosity (double mu) |
| Function to change the viscosity. | |
| void | forcesMatrices (label NUmodes, label NPmodes, label NSUPmodes) |
| Compute lift and drag matrices. | |
| void | forcesMatrices (label nModes) |
| Compute lift and drag matrices offline matrices for the case of same number of velocity and pressure modes. | |
| void | reconstructLiftAndDrag (const Eigen::MatrixXd &velCoeffs, const Eigen::MatrixXd &pressureCoeffs, fileName folder) |
| Method to reconstruct the forces using velocity and pressure coefficients. | |
| Eigen::Tensor< double, 3 > | convective_term_tens (label NUmodes, label NPmodes, label NSUPmodes) |
| Export convective term as a tensor. | |
| Eigen::Tensor< double, 3 > | convective_term_tens_cache (label NUmodes, label NPmodes, label NSUPmodes) |
| Export convective term as a tensor using the cached procedure. | |
| void | restart () |
| set U and P back to the values into the 0 folder | |
| Public Member Functions inherited from reductionProblem | |
| reductionProblem () | |
| Construct Null. | |
| ~reductionProblem () | |
| void | setParameters () |
| Set Parameters Problems. | |
| void | genRandPar () |
| Generate Random Numbers. | |
| void | genRandPar (label tsize) |
| Generate Random Numbers given the dimension of the training set. | |
| void | genEquiPar () |
| Generate Equidistributed Numbers. | |
| void | truthSolve () |
| Perform a TruthSolve. | |
| void | assignBC (volVectorField &s, label BC_ind, Vector< double > &value) |
| Assign Boundary Condition to a volVectorField. | |
| void | assignBC (volScalarField &s, label BC_ind, double &value) |
| Assign Boundary Condition to a volScalarField. | |
| void | reconstructFromMatrix (PtrList< volVectorField > &rec_field2, PtrList< volVectorField > &modes, label Nmodes, Eigen::MatrixXd coeff_matrix) |
| Exact reconstruction using a certain number of modes for vector list of fields and the projection coefficients (volVectorField) | |
| void | reconstructFromMatrix (PtrList< volScalarField > &rec_field2, PtrList< volScalarField > &modes, label Nmodes, Eigen::MatrixXd coeff_matrix) |
| Exact reconstruction using a certain number of modes for vector list of fields and the projection coefficients (volScalarField) | |
| template<typename T, typename G> | |
| void | assignIF (T &s, G &value) |
| Assign internal field condition. | |
| template<typename T> | |
| void | computeLift (T &Lfield, T &liftfield, T &omfield) |
| Homogenize the snapshot matrix, it works with PtrList of volVectorField and volScalarField. | |
| template<typename T> | |
| void | computeLiftT (T &Lfield, T &liftfield, T &omfield) |
| Virtual function to compute the lifting function. | |
| void | liftSolve () |
| Virtual function to compute the lifting function for scalar field. | |
| void | liftSolveT () |
| void | project () |
| General projection operation. | |
| void | writeMu (List< scalar > mu_now) |
| Write out a list of scalar corresponding to the parameters used in the truthSolve. | |
| std::vector< SPLINTER::RBFSpline > | getCoeffManifoldRBF (PtrList< volVectorField > snapshots, PtrList< volVectorField > &modes, word rbfBasis="GAUSSIAN") |
| Constructs the parameters-coefficients manifold for vector fields, based on RBF-spline model. | |
| std::vector< SPLINTER::RBFSpline > | getCoeffManifoldRBF (PtrList< volScalarField > snapshots, PtrList< volScalarField > &modes, word rbfBasis="GAUSSIAN") |
| Constructs the parameters-coefficients manifold for scalar fields, based on RBF-spline model. | |
| std::vector< SPLINTER::BSpline > | getCoeffManifoldSPL (PtrList< volVectorField > snapshots, PtrList< volVectorField > &modes, label splDeg=3) |
| Constructs the parameters-coefficients manifold for vector fields, based on the B-spline model. | |
| std::vector< SPLINTER::BSpline > | getCoeffManifoldSPL (PtrList< volScalarField > snapshots, PtrList< volScalarField > &modes, label splDeg=3) |
| Constructs the parameters-coefficients manifold for scalar fields, based on the B-spline model. | |
| Public Member Functions inherited from UnsteadyProblem | |
| UnsteadyProblem () | |
| void | setTimes (Time &timeObject) |
| bool | checkWrite (Time &timeObject) |
| Function to check if the solution must be exported. | |
Public Attributes | |
| autoPtr< dimensionedScalar > | _nu |
| dimensionedScalar nu; | |
| autoPtr< dimensionedScalar > | _dt |
| dimensionedScalar dt; | |
| label | pRefCell |
| Reference pressure cell. | |
| scalar | pRefValue |
| Reference pressure value. | |
| Public Attributes inherited from unsteadyNS | |
| autoPtr< pimpleControl > | _pimple |
| pimpleControl | |
| autoPtr< incompressible::turbulenceModel > | turbulence |
| Turbulence model. | |
| bool | adjustTimeStep |
| adjustTimeStep | |
| scalar | maxCo |
| maxCourant | |
| scalar | maxDeltaT |
| maxDeltaT | |
| label | counter2 = 1 |
| word | method |
| word | timedepbcMethod |
| Time-dependent Boundary Method. | |
| Eigen::MatrixXd | timeBCoff |
| word | timeDerivativeSchemeOrder |
| Public Attributes inherited from steadyNS | |
| ITHACAparameters * | para |
| PtrList< volScalarField > | Pfield |
| List of pointers used to form the pressure snapshots matrix. | |
| PtrList< volVectorField > | Ufield |
| List of pointers used to form the velocity snapshots matrix. | |
| PtrList< volVectorField > | supfield |
| List of pointers used to form the supremizer snapshots matrix. | |
| PtrList< surfaceScalarField > | Phifield |
| List of pointers used to form the flux snapshots matrix. | |
| volScalarModes | Pmodes |
| List of pointers used to form the pressure modes. | |
| volVectorModes | Umodes |
| List of pointers used to form the velocity modes. | |
| volVectorModes | supmodes |
| List of pointers used to form the supremizer modes. | |
| surfaceScalarModes | Phimodes |
| List of pointers used to form the flux modes. | |
| PtrList< volVectorField > | liftfield |
| List of pointers used to form the list of lifting functions. | |
| PtrList< volScalarField > | liftfieldP |
| List of pointer used to form the list of lifting functions for the pressure. | |
| PtrList< volVectorField > | Uomfield |
| List of pointers used to form the homogeneous velocity snapshots. | |
| volVectorModes | L_U_SUPmodes |
| List of pointers containing the total number of lift, supremizer and velocity modes. | |
| surfaceScalarModes | L_PHImodes |
| List of pointers containing the total number of flux modes. | |
| scalar | tolerance |
| Tolerance for the residual of the stationary problems, there is the same tolerance for velocity and pressure. | |
| scalar | maxIter |
| Number of maximum iterations to be done for the computation of the truth solution. | |
| label | NUmodesOut |
| Number of velocity modes to be calculated. | |
| label | NPmodesOut |
| Number of pressure modes to be calculated. | |
| label | NSUPmodesOut |
| Number of supremizer modes to be calculated. | |
| label | NNutModesOut |
| Number of nut modes to be calculated. | |
| label | NUmodes |
| Number of velocity modes used for the projection. | |
| label | NPmodes |
| Number of pressure modes used for the projection. | |
| label | NSUPmodes |
| Number of supremizer modes used for the projection. | |
| label | NNutModes |
| Number of nut modes used for the projection. | |
| Eigen::MatrixXd | tauMatrix |
| Viscous forces. | |
| Eigen::MatrixXd | nMatrix |
| Pressure forces. | |
| List< Eigen::MatrixXd > | bcVelVec |
| Boundary term for penalty method - vector. | |
| List< Eigen::MatrixXd > | bcVelMat |
| Boundary term for penalty method - matrix. | |
| Eigen::MatrixXd | BP_matrix |
| Diffusion term for flux method PPE. | |
| List< Eigen::MatrixXd > | RD_matrix |
| Boundary term for diffusion term. | |
| List< Eigen::MatrixXd > | RC_matrix |
| Boundary vector for convection term. | |
| List< Eigen::MatrixXd > | SD_matrix |
| Boundary term for diffusion term - Consistent Flux Method. | |
| List< Eigen::MatrixXd > | SC_matrix |
| Boundary term for convection term - Consistent Flux Method. | |
| Eigen::Tensor< double, 3 > | Cf_tensor |
| Convection term for flux method. | |
| Eigen::Tensor< double, 3 > | Ci_tensor |
| Convection term - Consistent Flux Method. | |
| List< Eigen::MatrixXd > | LinSysDiv |
| Projection Peqn onto Pressure modes - Divergence term. | |
| List< Eigen::MatrixXd > | LinSysDiff |
| Projection Peqn onto Pressure modes - Diffusion term. | |
| List< Eigen::MatrixXd > | LinSysConv |
| Projection Peqn onto Pressure modes - Convection term. | |
| bool | supex |
| Boolean variable to check the existence of the supremizer modes. | |
| autoPtr< volScalarField > | _p |
| Pressure field. | |
| autoPtr< volVectorField > | _U |
| Velocity field. | |
| autoPtr< volScalarField > | _p0 |
| Initial Pressure field (for restart purposes) | |
| autoPtr< volVectorField > | _U0 |
| Initial Velocity field (for restart purposes) | |
| autoPtr< volVectorField > | Uinl |
| Initial dummy field with all Dirichlet boundary conditions. | |
| autoPtr< dimensionedScalar > | dt_dummy |
| Dummy time step including unit. | |
| autoPtr< dimensionedScalar > | nu_dummy |
| Dummy viscocity including unit. | |
| autoPtr< fvMesh > | _mesh |
| Mesh. | |
| autoPtr< simpleControl > | _simple |
| simpleControl | |
| autoPtr< fv::options > | _fvOptions |
| fvOptions | |
| autoPtr< Time > | _runTime |
| Time. | |
| autoPtr< surfaceScalarField > | _phi |
| Flux. | |
| autoPtr< surfaceScalarField > | _phi0 |
| Initial Flux (for restart purposes) | |
| autoPtr< incompressible::turbulenceModel > | turbulence |
| Turbulence model. | |
| autoPtr< singlePhaseTransportModel > | _laminarTransport |
| Laminar transport (used by turbulence model) | |
| autoPtr< IOMRFZoneList > | _MRF |
| MRF variable. | |
| label | pRefCell |
| Reference pressure cell. | |
| scalar | pRefValue |
| Reference pressure value. | |
| scalar | cumulativeContErr = 0 |
| continuity error | |
| word | bcMethod |
| Boundary Method. | |
| word | fluxMethod |
| Flux Method. | |
| Eigen::MatrixXd | B_matrix |
| Diffusion term. | |
| Eigen::MatrixXd | M_matrix |
| Mass Matrix. | |
| Eigen::MatrixXd | K_matrix |
| Gradient of pressure matrix. | |
| List< Eigen::MatrixXd > | C_matrix |
| Non linear term. | |
| Eigen::Tensor< double, 3 > | C_tensor |
| Diffusion term. | |
| Eigen::MatrixXd | P_matrix |
| Div of velocity. | |
| Eigen::MatrixXd | L_matrix |
| Convective background / Large scale advection term. | |
| Eigen::MatrixXd | L_D_matrix |
| Divergent convective background / Large scale advection term. | |
| Eigen::MatrixXd | D_matrix |
| Laplacian term PPE. | |
| List< Eigen::MatrixXd > | G_matrix |
| Divergence of momentum PPE. | |
| Eigen::Tensor< double, 3 > | gTensor |
| Divergence of momentum PPE. | |
| Eigen::MatrixXd | BC1_matrix |
| PPE BC1. | |
| List< Eigen::MatrixXd > | BC2_matrix |
| PPE BC2. | |
| Eigen::Tensor< double, 3 > | bc2Tensor |
| PPE BC2. | |
| Eigen::MatrixXd | BC3_matrix |
| PPE BC3. | |
| Eigen::MatrixXd | BC4_matrix |
| PPE BC4. | |
| Eigen::MatrixXd | W_matrix |
| Mass Matrix New Time Step - Consistent Flux Method. | |
| Eigen::MatrixXd | I_matrix |
| Mass Matrix Old Time Step - Consistent Flux Method. | |
| Eigen::MatrixXd | DF_matrix |
| Diffusion Term - Consistent Flux Method. | |
| Eigen::MatrixXd | KF_matrix |
| Pressure Gradient Term - Consistent Flux Method. | |
| Public Attributes inherited from reductionProblem | |
| label | Pnumber |
| Number of parameters. | |
| label | Tnumber |
| Dimension of the training set (used only when gerating parameters without input) | |
| Eigen::MatrixXd | mu |
| Row matrix of parameters. | |
| Eigen::MatrixXd | mu_range |
| Range of the parameter spaces. | |
| Eigen::MatrixXd | mu_samples |
| Matrix of parameters to be used for PODI, where each row corresponds to a sample point. In this matrix the time dimension is regarded as a parameter for unsteady problems. | |
| double | mu_cur |
| Current value of the parameter. | |
| bool | podex |
| Boolean variable, it is 1 if the POD has already been computed, else 0. | |
| bool | offline |
| Boolean variable, it is 1 if the Offline phase has already been computed, else 0. | |
| IOdictionary * | ITHACAdict |
| dictionary to store input output infos | |
| autoPtr< argList > | _args |
| argList | |
| ITHACAparallel * | paral |
| parallel handling | |
| label | folderN = 1 |
| Counter to save intermediate steps in the correct folder, for unsteady and some stationary cases. | |
| label | counter = 1 |
| Counter used for the output of the full order solutions. | |
| Eigen::MatrixXi | inletIndex |
| Matrix that contains informations about the inlet boundaries. | |
| Eigen::MatrixXi | inletPatch |
| Matrix that contains informations about the inlet boundaries without specifing the direction Rows = Number of parametrized boundary conditions Cols = 1 Example: example.inletIndex.resize(2, 1); example.inletIndex(0, 0) = 0; example.inletIndex(1, 0) = 1; Means that there are two parametrized boundary conditions of which the first row is of patch 0 and the second row of patch 1. | |
| Eigen::MatrixXi | inletIndexT |
| Public Attributes inherited from UnsteadyProblem | |
| scalar | startTime |
| Start Time (initial time to start storing the snapshots) | |
| scalar | finalTime |
| Final time (final time of the simulation and consequently of the acquisition of the snapshots) | |
| scalar | timeStep |
| Time step of the simulation. | |
| scalar | writeEvery = timeStep |
| Time step of the writing procedure. | |
| scalar | nextWrite |
| Auxiliary variable to store the next writing instant. | |
Implementation of a parametrized full order unsteady NS problem and preparation of the the reduced matrices for the online solve.
In this class are implemented the methods for the offline solve of a unsteady NS problem and the for the generation of the reduced matrices for subsequent online solve, this class is a son of the steadyNS class
Definition at line 60 of file UnsteadyNSExplicit.H.
| UnsteadyNSExplicit::UnsteadyNSExplicit | ( | ) |
| UnsteadyNSExplicit::UnsteadyNSExplicit | ( | int | argc, |
| char * | argv[] ) |
Construct with argc and argv.
Definition at line 43 of file UnsteadyNSExplicit.C.
| void UnsteadyNSExplicit::truthSolve | ( | List< scalar > | mu_now, |
| fileName | folder = "./ITHACAoutput/Offline/" ) |
Perform a truthsolve.
| [in] | mu_now | The actual value of the parameter for this truthSolve. Used only to construct mu_interp matrix which is written out in a specified folder, also for par file in the Parameters folder. |
Definition at line 84 of file UnsteadyNSExplicit.C.
| autoPtr<dimensionedScalar> UnsteadyNSExplicit::_dt |
dimensionedScalar dt;
Definition at line 74 of file UnsteadyNSExplicit.H.
| autoPtr<dimensionedScalar> UnsteadyNSExplicit::_nu |
dimensionedScalar nu;
Definition at line 71 of file UnsteadyNSExplicit.H.
| label UnsteadyNSExplicit::pRefCell |
Reference pressure cell.
Definition at line 77 of file UnsteadyNSExplicit.H.
| scalar UnsteadyNSExplicit::pRefValue |
Reference pressure value.
Definition at line 80 of file UnsteadyNSExplicit.H.
1.13.2