KratosMultiphysics
KRATOS Multiphysics (Kratos) is a framework for building parallel, multi-disciplinary simulation software, aiming at modularity, extensibility, and high performance. Kratos is written in C++, and counts with an extensive Python interface.
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BDF integration scheme (for dynamic problems) More...
#include <shallow_water_residual_based_bdf_scheme.h>
Public Member Functions | |
Life Cycle | |
ShallowWaterResidualBasedBDFScheme (const std::size_t Order=2, bool UpdateVelocities=false) | |
ShallowWaterResidualBasedBDFScheme (Parameters ThisParameters) | |
ShallowWaterResidualBasedBDFScheme (ShallowWaterResidualBasedBDFScheme &rOther) | |
BaseType::Pointer | Clone () override |
~ShallowWaterResidualBasedBDFScheme () override | |
Operations | |
void | Update (ModelPart &rModelPart, DofsArrayType &rDofSet, TSystemMatrixType &rA, TSystemVectorType &rDx, TSystemVectorType &rb) override |
Performing the update of the solution within newton iteration. More... | |
void | Predict (ModelPart &rModelPart, DofsArrayType &rDofSet, TSystemMatrixType &rA, TSystemVectorType &rDx, TSystemVectorType &rb) override |
Performing the prediction of the solution. More... | |
void | CalculateSystemContributions (Element &rCurrentElement, LocalSystemMatrixType &rLHS_Contribution, LocalSystemVectorType &rRHS_Contribution, Element::EquationIdVectorType &rEquationId, const ProcessInfo &rCurrentProcessInfo) override |
This function is designed to be called in the builder and solver to introduce the selected time integration scheme. More... | |
void | CalculateRHSContribution (Element &rCurrentElement, LocalSystemVectorType &rRHS_Contribution, Element::EquationIdVectorType &rEquationId, const ProcessInfo &rCurrentProcessInfo) override |
This function is designed to calculate just the RHS contribution. More... | |
void | CalculateSystemContributions (Condition &rCurrentCondition, LocalSystemMatrixType &rLHS_Contribution, LocalSystemVectorType &rRHS_Contribution, Element::EquationIdVectorType &rEquationId, const ProcessInfo &rCurrentProcessInfo) override |
This function is designed to be called in the builder and solver to introduce the selected time integration scheme. More... | |
void | CalculateRHSContribution (Condition &rCurrentCondition, LocalSystemVectorType &rRHS_Contribution, Element::EquationIdVectorType &rEquationId, const ProcessInfo &rCurrentProcessInfo) override |
This function is designed to calculate just the RHS contribution. More... | |
void | Initialize (ModelPart &rModelPart) override |
Initialize the nodal area and the derivatives recovery. More... | |
void | InitializeNonLinIteration (ModelPart &rModelPart, TSystemMatrixType &rA, TSystemVectorType &rDx, TSystemVectorType &rb) override |
Calculate the global projection of the dispersive field. More... | |
void | Clear () override |
Free memory allocated by this class. More... | |
Parameters | GetDefaultParameters () const override |
This method provides the defaults parameters to avoid conflicts between the different constructors. More... | |
Input and output | |
std::string | Info () const override |
Turn back information as a string. More... | |
Public Member Functions inherited from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace > | |
ResidualBasedBDFScheme (const std::size_t Order=2) | |
Constructor. The BDF method. More... | |
ResidualBasedBDFScheme (ResidualBasedBDFScheme &rOther) | |
~ResidualBasedBDFScheme () override | |
void | InitializeSolutionStep (ModelPart &rModelPart, TSystemMatrixType &rA, TSystemVectorType &rDx, TSystemVectorType &rb) override |
It initializes time step solution. Only for reasons if the time step solution is restarted. More... | |
int | Check (const ModelPart &rModelPart) const override |
This function is designed to be called once to perform all the checks needed on the input provided. More... | |
void | PrintInfo (std::ostream &rOStream) const override |
Print information about this object. More... | |
void | PrintData (std::ostream &rOStream) const override |
Print object's data. More... | |
KRATOS_CLASS_POINTER_DEFINITION (ResidualBasedBDFScheme) | |
Public Member Functions inherited from Kratos::ResidualBasedImplicitTimeScheme< TSparseSpace, TDenseSpace > | |
ResidualBasedImplicitTimeScheme () | |
ResidualBasedImplicitTimeScheme (Parameters ThisParameters) | |
Constructor. The implicit method method. More... | |
ResidualBasedImplicitTimeScheme (ResidualBasedImplicitTimeScheme &rOther) | |
~ResidualBasedImplicitTimeScheme () override | |
void | InitializeSolutionStep (ModelPart &rModelPart, TSystemMatrixType &rA, TSystemVectorType &rDx, TSystemVectorType &rb) override |
It initializes time step solution. Only for reasons if the time step solution is restarted. More... | |
int | Check (const ModelPart &rModelPart) const override |
This function is designed to be called once to perform all the checks needed on the input provided. More... | |
void | PrintInfo (std::ostream &rOStream) const override |
Print information about this object. More... | |
void | PrintData (std::ostream &rOStream) const override |
Print object's data. More... | |
KRATOS_CLASS_POINTER_DEFINITION (ResidualBasedImplicitTimeScheme) | |
Public Member Functions inherited from Kratos::Scheme< TSparseSpace, TDenseSpace > | |
Scheme () | |
Default Constructor. More... | |
Scheme (Parameters ThisParameters) | |
Constructor with Parameters. More... | |
Scheme (Scheme &rOther) | |
virtual | ~Scheme () |
KRATOS_CLASS_POINTER_DEFINITION (Scheme) | |
Pointer definition of Scheme. More... | |
virtual ClassType::Pointer | Create (Parameters ThisParameters) const |
Create method. More... | |
bool | SchemeIsInitialized () |
This method returns if the scheme is initialized. More... | |
void | SetSchemeIsInitialized (bool SchemeIsInitializedFlag=true) |
This method sets if the elements have been initialized or not (true by default) More... | |
bool | ElementsAreInitialized () |
This method returns if the elements are initialized. More... | |
void | SetElementsAreInitialized (bool ElementsAreInitializedFlag=true) |
This method sets if the elements have been initialized or not (true by default) More... | |
bool | ConditionsAreInitialized () |
This method returns if the conditions are initialized. More... | |
void | SetConditionsAreInitialized (bool ConditionsAreInitializedFlag=true) |
This method sets if the conditions have been initialized or not (true by default) More... | |
virtual void | InitializeElements (ModelPart &rModelPart) |
This is the place to initialize the elements. More... | |
virtual void | InitializeConditions (ModelPart &rModelPart) |
This is the place to initialize the conditions. More... | |
virtual void | FinalizeSolutionStep (ModelPart &rModelPart, TSystemMatrixType &A, TSystemVectorType &Dx, TSystemVectorType &b) |
Function called once at the end of a solution step, after convergence is reached if an iterative process is needed. More... | |
virtual void | FinalizeNonLinIteration (ModelPart &rModelPart, TSystemMatrixType &A, TSystemVectorType &Dx, TSystemVectorType &b) |
Function to be called when it is needed to finalize an iteration. It is designed to be called at the end of each non linear iteration. More... | |
virtual void | CalculateOutputData (ModelPart &rModelPart, DofsArrayType &rDofSet, TSystemMatrixType &A, TSystemVectorType &Dx, TSystemVectorType &b) |
Functions to be called to prepare the data needed for the output of results. More... | |
virtual void | CleanOutputData () |
Functions that cleans the results data. More... | |
virtual void | Clean () |
This function is intended to be called at the end of the solution step to clean up memory storage not needed after the end of the solution step. More... | |
virtual int | Check (ModelPart &rModelPart) |
virtual void | CalculateLHSContribution (Element &rElement, LocalSystemMatrixType &LHS_Contribution, Element::EquationIdVectorType &rEquationIdVector, const ProcessInfo &rCurrentProcessInfo) |
This function is designed to calculate just the LHS contribution. More... | |
virtual void | CalculateLHSContribution (Condition &rCondition, LocalSystemMatrixType &LHS_Contribution, Element::EquationIdVectorType &rEquationIdVector, const ProcessInfo &rCurrentProcessInfo) |
Functions totally analogous to the precedent but applied to the "condition" objects. More... | |
virtual void | EquationId (const Element &rElement, Element::EquationIdVectorType &rEquationId, const ProcessInfo &rCurrentProcessInfo) |
This method gets the eqaution id corresponding to the current element. More... | |
virtual void | EquationId (const Condition &rCondition, Element::EquationIdVectorType &rEquationId, const ProcessInfo &rCurrentProcessInfo) |
Functions totally analogous to the precedent but applied to the "condition" objects. More... | |
virtual void | GetDofList (const Element &rElement, Element::DofsVectorType &rDofList, const ProcessInfo &rCurrentProcessInfo) |
Function that returns the list of Degrees of freedom to be assembled in the system for a Given element. More... | |
virtual void | GetDofList (const Condition &rCondition, Element::DofsVectorType &rDofList, const ProcessInfo &rCurrentProcessInfo) |
Function that returns the list of Degrees of freedom to be assembled in the system for a Given condition. More... | |
Protected Member Functions | |
Protected Operations | |
Parameters | ValidateAndAssignParameters (Parameters ThisParameters, const Parameters DefaultParameters) const override |
This method validate and assign default parameters. More... | |
void | AssignSettings (const Parameters ThisParameters) override |
This method assigns settings to member variables. More... | |
void | UpdateFirstDerivative (NodesArrayType::iterator itNode) override |
Updating first time derivative. More... | |
void | UpdateSecondDerivative (NodesArrayType::iterator itNode) override |
Updating second time derivative. More... | |
void | UpdateVelocities (ModelPart &rModelPart) |
Updating the velocities. More... | |
void | AddDynamicsToLHS (LocalSystemMatrixType &rLHS_Contribution, LocalSystemMatrixType &rD, LocalSystemMatrixType &rM, const ProcessInfo &rCurrentProcessInfo) override |
It adds the dynamic LHS contribution of the elements. More... | |
void | AddDynamicsToRHS (Element &rElement, LocalSystemVectorType &rRHS_Contribution, LocalSystemMatrixType &rD, LocalSystemMatrixType &rM, const ProcessInfo &rCurrentProcessInfo) override |
It adds the dynamic RHS contribution of the elements. More... | |
void | AddDynamicsToRHS (Condition &rCondition, LocalSystemVectorType &rRHS_Contribution, LocalSystemMatrixType &rD, LocalSystemMatrixType &rM, const ProcessInfo &rCurrentProcessInfo) override |
It adds the dynamic RHS contribution of the condition. More... | |
void | ApplyLaplacianBoundaryConditions (ModelPart &rModelPart) |
Protected Member Functions inherited from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace > | |
void | UpdateDerivatives (ModelPart &rModelPart, DofsArrayType &rDofSet, TSystemMatrixType &rA, TSystemVectorType &rDx, TSystemVectorType &rb) |
Performing the update of the derivatives. More... | |
template<class TObjectType > | |
void | TemplateAddDynamicsToRHS (TObjectType &rObject, LocalSystemVectorType &rRHS_Contribution, LocalSystemMatrixType &rD, LocalSystemMatrixType &rM, const ProcessInfo &rCurrentProcessInfo) |
It adds the dynamic RHS contribution of the objects. More... | |
Protected Operations | |
Protected Operations |
Protected Attributes | |
Protected member Variables | |
TSparseSpace::DofUpdaterPointerType | mpDofUpdater = TSparseSpace::CreateDofUpdater() |
FlowRateSlipToolType | mRotationTool |
bool | mUpdateVelocities |
bool | mProjectDispersiveField |
std::vector< const Variable< double > * > | mVariables |
std::vector< const Variable< double > * > | mDerivativeVariables |
Protected Attributes inherited from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace > | |
const std::size_t | mOrder |
Vector | mBDF |
The integration order. More... | |
GeneralVectors | mVector |
The BDF coefficients. More... | |
Kratos::unique_ptr< TimeDiscretization::BDF > | mpBDFUtility |
The structure containing the derivatives. More... | |
Protected Attributes inherited from Kratos::ResidualBasedImplicitTimeScheme< TSparseSpace, TDenseSpace > | |
GeneralMatrices | mMatrix |
Protected Attributes inherited from Kratos::Scheme< TSparseSpace, TDenseSpace > | |
bool | mSchemeIsInitialized |
bool | mElementsAreInitialized |
Flag to be used in controlling if the Scheme has been initialized or not. More... | |
bool | mConditionsAreInitialized |
Flag taking in account if the elements were initialized correctly or not. More... | |
Type Definitions | |
typedef Scheme< TSparseSpace, TDenseSpace > | BaseType |
typedef ResidualBasedBDFScheme< TSparseSpace, TDenseSpace > | BDFBaseType |
typedef BDFBaseType::DofsArrayType | DofsArrayType |
typedef BDFBaseType::TSystemMatrixType | TSystemMatrixType |
typedef BDFBaseType::TSystemVectorType | TSystemVectorType |
typedef BDFBaseType::LocalSystemVectorType | LocalSystemVectorType |
typedef BDFBaseType::LocalSystemMatrixType | LocalSystemMatrixType |
typedef ModelPart::NodesContainerType | NodesArrayType |
typedef ModelPart::NodeType | NodeType |
typedef FlowRateSlipUtility< LocalSystemMatrixType, LocalSystemVectorType, double > | FlowRateSlipToolType |
KRATOS_CLASS_POINTER_DEFINITION (ShallowWaterResidualBasedBDFScheme) | |
Additional Inherited Members | |
Public Types inherited from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace > | |
typedef Scheme< TSparseSpace, TDenseSpace > | BaseType |
typedef BaseType::Pointer | BaseTypePointer |
typedef ResidualBasedImplicitTimeScheme< TSparseSpace, TDenseSpace > | ImplicitBaseType |
typedef ImplicitBaseType::TDataType | TDataType |
typedef ImplicitBaseType::DofsArrayType | DofsArrayType |
typedef Element::DofsVectorType | DofsVectorType |
typedef ImplicitBaseType::TSystemMatrixType | TSystemMatrixType |
typedef ImplicitBaseType::TSystemVectorType | TSystemVectorType |
typedef ImplicitBaseType::LocalSystemVectorType | LocalSystemVectorType |
typedef ImplicitBaseType::LocalSystemMatrixType | LocalSystemMatrixType |
typedef ModelPart::NodesContainerType | NodesArrayType |
Public Types inherited from Kratos::ResidualBasedImplicitTimeScheme< TSparseSpace, TDenseSpace > | |
typedef Scheme< TSparseSpace, TDenseSpace > | BaseType |
Base class definition. More... | |
typedef BaseType::DofsArrayType | DofsArrayType |
DoF array type definition. More... | |
typedef Element::DofsVectorType | DofsVectorType |
DoF vector type definition. More... | |
typedef BaseType::TDataType | TDataType |
Data type definition. More... | |
typedef BaseType::TSystemMatrixType | TSystemMatrixType |
Matrix type definition. More... | |
typedef BaseType::TSystemVectorType | TSystemVectorType |
Vector type definition. More... | |
typedef BaseType::LocalSystemVectorType | LocalSystemVectorType |
Local system matrix type definition. More... | |
typedef BaseType::LocalSystemMatrixType | LocalSystemMatrixType |
Local system vector type definition. More... | |
typedef ModelPart::NodesContainerType | NodesArrayType |
Nodes containers definition. More... | |
typedef ModelPart::ElementsContainerType | ElementsArrayType |
Elements containers definition. More... | |
typedef ModelPart::ConditionsContainerType | ConditionsArrayType |
Conditions containers definition. More... | |
typedef std::size_t | IndexType |
Index type definition. More... | |
Public Types inherited from Kratos::Scheme< TSparseSpace, TDenseSpace > | |
using | ClassType = Scheme< TSparseSpace, TDenseSpace > |
The definition of the current class. More... | |
using | TDataType = typename TSparseSpace::DataType |
Data type definition. More... | |
using | TSystemMatrixType = typename TSparseSpace::MatrixType |
Matrix type definition. More... | |
using | TSystemVectorType = typename TSparseSpace::VectorType |
Vector type definition. More... | |
using | LocalSystemMatrixType = typename TDenseSpace::MatrixType |
Local system matrix type definition. More... | |
using | LocalSystemVectorType = typename TDenseSpace::VectorType |
Local system vector type definition. More... | |
using | TDofType = Dof< double > |
DoF type definition. More... | |
using | DofsArrayType = ModelPart::DofsArrayType |
DoF array type definition. More... | |
using | ElementsArrayType = ModelPart::ElementsContainerType |
Elements containers definition. More... | |
using | ConditionsArrayType = ModelPart::ConditionsContainerType |
Conditions containers definition. More... | |
Static Public Member Functions inherited from Kratos::Scheme< TSparseSpace, TDenseSpace > | |
static std::string | Name () |
Returns the name of the class as used in the settings (snake_case format) More... | |
Static Public Attributes inherited from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace > | |
static constexpr double | ZeroTolerance = std::numeric_limits<double>::epsilon() |
Definition of epsilon. More... | |
BDF integration scheme (for dynamic problems)
The \(n\) order Backward Differentiation Formula (BDF) method is a two step \(n\) order accurate method. This scheme is designed to solve a system of the type:
\[ \mathbf{M} \frac{du_{n0}}{dt} + \mathbf{K} u_{n0} = \mathbf{f}_{ext} \]
typedef Scheme<TSparseSpace,TDenseSpace> Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::BaseType |
typedef ResidualBasedBDFScheme<TSparseSpace,TDenseSpace> Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::BDFBaseType |
typedef BDFBaseType::DofsArrayType Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::DofsArrayType |
typedef FlowRateSlipUtility<LocalSystemMatrixType,LocalSystemVectorType,double> Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::FlowRateSlipToolType |
typedef BDFBaseType::LocalSystemMatrixType Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::LocalSystemMatrixType |
typedef BDFBaseType::LocalSystemVectorType Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::LocalSystemVectorType |
typedef ModelPart::NodesContainerType Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::NodesArrayType |
typedef ModelPart::NodeType Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::NodeType |
typedef BDFBaseType::TSystemMatrixType Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::TSystemMatrixType |
typedef BDFBaseType::TSystemVectorType Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::TSystemVectorType |
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It adds the dynamic LHS contribution of the elements.
rLHS_Contribution | The dynamic contribution for the LHS |
rD | The damping matrix |
rM | The mass matrix |
rCurrentProcessInfo | The current process info instance |
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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It adds the dynamic RHS contribution of the condition.
rCondition | The condition to compute |
RHS_Contribution | The dynamic contribution for the RHS |
D | The damping matrix |
M | The mass matrix |
rCurrentProcessInfo | The current process info instance |
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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It adds the dynamic RHS contribution of the elements.
rElement | The element to compute |
RHS_Contribution | The dynamic contribution for the RHS |
D | The damping matrix |
M | The mass matrix |
rCurrentProcessInfo | The current process info instance |
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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This method assigns settings to member variables.
ThisParameters | Parameters that are assigned to the member variables |
Reimplemented from Kratos::Scheme< TSparseSpace, TDenseSpace >.
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This function is designed to calculate just the RHS contribution.
rCurrentCondition | The condition to compute |
rRHS_Contribution | The RHS vector contribution |
rEquationId | The ID's of the element degrees of freedom |
rCurrentProcessInfo | The current process info instance |
Reimplemented from Kratos::ResidualBasedImplicitTimeScheme< TSparseSpace, TDenseSpace >.
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This function is designed to calculate just the RHS contribution.
rCurrentElement | The element to compute |
rRHS_Contribution | The RHS vector contribution |
rEquationId | The ID's of the element degrees of freedom |
rCurrentProcessInfo | The current process info instance |
Reimplemented from Kratos::ResidualBasedImplicitTimeScheme< TSparseSpace, TDenseSpace >.
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This function is designed to be called in the builder and solver to introduce the selected time integration scheme.
rCurrentCondition | The condition to compute |
rLHS_Contribution | The LHS matrix contribution |
rRHS_Contribution | The RHS vector contribution |
rEquationId | The ID's of the element degrees of freedom |
rCurrentProcessInfo | The current process info instance |
Reimplemented from Kratos::ResidualBasedImplicitTimeScheme< TSparseSpace, TDenseSpace >.
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This function is designed to be called in the builder and solver to introduce the selected time integration scheme.
rCurrentElement | The element to compute |
rLHS_Contribution | The LHS matrix contribution |
rRHS_Contribution | The RHS vector contribution |
rEquationId | The ID's of the element degrees of freedom |
rCurrentProcessInfo | The current process info instance |
Reimplemented from Kratos::ResidualBasedImplicitTimeScheme< TSparseSpace, TDenseSpace >.
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Free memory allocated by this class.
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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Clone
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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This method provides the defaults parameters to avoid conflicts between the different constructors.
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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Turn back information as a string.
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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Initialize the nodal area and the derivatives recovery.
The nodal area is used to apply the explicit prediction.
rModelPart | The model part of the problem to solve |
Reimplemented from Kratos::Scheme< TSparseSpace, TDenseSpace >.
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Calculate the global projection of the dispersive field.
rModelPart | The model part of the problem to solve |
rA | LHS matrix |
rDx | Incremental update of primary variables |
rb | RHS Vector |
Reimplemented from Kratos::Scheme< TSparseSpace, TDenseSpace >.
Kratos::ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace >::KRATOS_CLASS_POINTER_DEFINITION | ( | ShallowWaterResidualBasedBDFScheme< TSparseSpace, TDenseSpace > | ) |
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Performing the prediction of the solution.
It predicts the solution for the current step
rModelPart | The model of the problem to solve |
rDofSet | set of all primary variables |
rA | LHS matrix |
rDx | Incremental update of primary variables |
rb | RHS Vector |
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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Performing the update of the solution within newton iteration.
rModelPart | The model of the problem to solve |
rDofSet | Set of all primary variables |
rA | LHS matrix |
rDx | incremental update of primary variables |
rb | RHS Vector |
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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Updating first time derivative.
itNode | the node interator |
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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Updating second time derivative.
itNode | the node interator |
Reimplemented from Kratos::ResidualBasedBDFScheme< TSparseSpace, TDenseSpace >.
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Updating the velocities.
rModelPart | The model part to compute |
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This method validate and assign default parameters.
rParameters | Parameters to be validated |
DefaultParameters | The default parameters |
Reimplemented from Kratos::Scheme< TSparseSpace, TDenseSpace >.
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