Implements kernels for solving Laplace's equation. More...

#include <LaplaceFEMKernels.hpp>

Inheritance diagram for geosx::LaplaceFEMKernel< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE >:

Classes
class	StackVariables
	Kernel variables allocated on the stack. More...

Public Types
using	Base = finiteElement::ImplicitKernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, 1, 1 >
	An alias for the base class.

Public Types inherited from geosx::finiteElement::ImplicitKernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, 1, 1 >
using	Base = KernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, NUM_DOF_PER_TEST_SP, NUM_DOF_PER_TRIAL_SP >
	Alias for the base class. (i.e. geosx::finiteElement::KernelBase)

Public Member Functions
	LaplaceFEMKernel (NodeManager const &nodeManager, EdgeManager const &edgeManager, FaceManager const &faceManager, SUBREGION_TYPE const &elementSubRegion, FE_TYPE const &finiteElementSpace, CONSTITUTIVE_TYPE *const inputConstitutiveType, arrayView1d< globalIndex const > const &inputDofNumber, globalIndex const rankOffset, CRSMatrixView< real64, globalIndex const > const &inputMatrix, arrayView1d< real64 > const &inputRhs, string const &fieldName)
	Constructor. More...

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE void	setup (localIndex const k, StackVariables &stack) const
	Copy global values from primary field to a local stack array. More...

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE void	quadraturePointKernel (localIndex const k, localIndex const q, StackVariables &stack) const
	Performs a state update at a quadrature point. More...

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE real64	complete (localIndex const k, StackVariables &stack) const
	Performs the complete phase for the kernel. More...

Public Member Functions inherited from geosx::finiteElement::ImplicitKernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, 1, 1 >
	ImplicitKernelBase (NodeManager const &nodeManager, EdgeManager const &edgeManager, FaceManager const &faceManager, SUBREGION_TYPE const &elementSubRegion, FE_TYPE const &finiteElementSpace, CONSTITUTIVE_TYPE *const inputConstitutiveType, arrayView1d< globalIndex const > const &inputDofNumber, globalIndex const rankOffset, CRSMatrixView< real64, globalIndex const > const &inputMatrix, arrayView1d< real64 > const &inputRhs)
	Constructor. More...

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE void	setup (localIndex const k, StackVariables &stack) const
	Performs the setup phase for the kernel. More...

Public Member Functions inherited from geosx::finiteElement::KernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, NUM_DOF_PER_TEST_SP, NUM_DOF_PER_TRIAL_SP >
	KernelBase (SUBREGION_TYPE const &elementSubRegion, FE_TYPE const &finiteElementSpace, CONSTITUTIVE_TYPE *const inputConstitutiveType)
	Constructor. More...

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE void	setup (localIndex const k, StackVariables &stack) const
	Performs the setup phase for the kernel. More...

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE void	quadraturePointKernel (localIndex const k, localIndex const q, StackVariables &stack) const
	Performs a state update at a quadrature point. More...

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE real64	complete (localIndex const k, StackVariables &stack) const
	Performs the complete phase for the kernel. More...

Static Public Attributes
static constexpr int	numNodesPerElem = Base::numTestSupportPointsPerElem
	The number of nodes per element.

Static Public Attributes inherited from geosx::finiteElement::KernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, NUM_DOF_PER_TEST_SP, NUM_DOF_PER_TRIAL_SP >
static constexpr int	numTestSupportPointsPerElem = FE_TYPE::numNodes

static constexpr int	numTrialSupportPointsPerElem = FE_TYPE::numNodes

static constexpr int	numDofPerTestSupportPoint = NUM_DOF_PER_TEST_SP

static constexpr int	numDofPerTrialSupportPoint = NUM_DOF_PER_TRIAL_SP

static constexpr int	numQuadraturePointsPerElem = FE_TYPE::numQuadraturePoints
	Compile time value for the number of quadrature points per element.

Protected Attributes
arrayView2d< real64 const, nodes::REFERENCE_POSITION_USD > const	m_X
	The array containing the nodal position array.

arrayView1d< real64 const > const	m_primaryField
	The global primary field array.

arrayView4d< real64 const > const	m_dNdX
	The global shape function derivatives array.

arrayView2d< real64 const > const	m_detJ
	The global determinant of the parent/physical Jacobian.

Protected Attributes inherited from geosx::finiteElement::ImplicitKernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, 1, 1 >
arrayView1d< globalIndex const > const	m_dofNumber
	The global degree of freedom number.

globalIndex const	m_dofRankOffset
	The global rank offset.

CRSMatrixView< real64, globalIndex const > const	m_matrix
	The global Jacobian matrix.

arrayView1d< real64 > const	m_rhs
	The global residaul vector.

Protected Attributes inherited from geosx::finiteElement::KernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, NUM_DOF_PER_TEST_SP, NUM_DOF_PER_TRIAL_SP >
traits::ViewTypeConst< typename SUBREGION_TYPE::NodeMapType::base_type > const	m_elemsToNodes
	The element to nodes map.

arrayView1d< integer const > const	m_elemGhostRank
	The element ghost rank array.

CONSTITUTIVE_TYPE::KernelWrapper const	m_constitutiveUpdate

FE_TYPE const &	m_finiteElementSpace

Additional Inherited Members
Static Public Member Functions inherited from geosx::finiteElement::KernelBase< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE, NUM_DOF_PER_TEST_SP, NUM_DOF_PER_TRIAL_SP >
template<typename POLICY , typename KERNEL_TYPE >
static real64	kernelLaunch (localIndex const numElems, KERNEL_TYPE const &kernelComponent)
	Kernel Launcher. More...

Detailed Description

template<typename SUBREGION_TYPE, typename CONSTITUTIVE_TYPE, typename FE_TYPE>
class geosx::LaplaceFEMKernel< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE >

Implements kernels for solving Laplace's equation.

Define the base interface for finite element kernels.

Template Parameters

SUBREGION_TYPE	The type of subregion that the kernel will act on.
CONSTITUTIVE_TYPE	The type of constitutive model present in the subregion.
NUM_TEST_SUPPORT_POINTS_PER_ELEM	The number of test space support points per element.
NUM_TRIAL_SUPPORT_POINTS_PER_ELEM	The number of trial space support points per element.
NUM_DOF_PER_TEST_SP	The number of DOF per test support point.
NUM_DOF_PER_TRIAL_SP	The number of DOF per trial support point.

General KernelBase Description

KernelBase defines an interface for implementing finite element kernels that will be callable by the family of kernel launch functions. Specific physics kernels may or may not derive from KernelBase, but must follow the same interface in order to be callable from the generic launching functions.

The template parameters of KernelBase should be duplicated as part of the interface, EXCEPT for NUM_DOF_PER_TEST_SP and NUM_DOF_PER_TRIAL_SP. These values should be set internally by the physics solver since each physics discretization will have a constant intrinsic value for these quantities. For example, when solving or the heat equation with scalar temperature as the primary variable at the support point, these will have a value of 1. In contrast, when solving a solid mechanics problem, with vector displacement as the primary variable at the support point, these will have a value of 3. Note that the interface provided by geosx::finiteElement::RegionBasedKernelApplication will construct a kernel assuming only the first 4 template arguments.

Template Parameters

NUM_NODES_PER_ELEM	The number of nodes per element for the `SUBREGION_TYPE`.
UNUSED	An unused parameter since we are assuming that the test and trial space have the same number of support points.

LaplaceFEMKernel Description

Implements the KernelBase interface functions required for solving Laplace's equation using on of the finite element kernel application functions such as geosx::finiteElement::RegionBasedKernelApplication.

In this implementation, the template parameter NUM_NODES_PER_ELEM is used in place of both NUM_TEST_SUPPORT_POINTS_PER_ELEM and NUM_TRIAL_SUPPORT_POINTS_PER_ELEM, which are assumed to be equal. This results in the UNUSED template parameter as only the NUM_NODES_PER_ELEM is passed to the ImplicitKernelBase template to form the base class.

Additionally, the number of degrees of freedom per support point for both the test and trial spaces are specified as 1 when specifying the base class.

Definition at line 54 of file LaplaceFEMKernels.hpp.

Constructor & Destructor Documentation

◆ LaplaceFEMKernel()

template<typename SUBREGION_TYPE , typename CONSTITUTIVE_TYPE , typename FE_TYPE >

geosx::LaplaceFEMKernel< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE >::LaplaceFEMKernel	(	NodeManager const &	nodeManager,
		EdgeManager const &	edgeManager,
		FaceManager const &	faceManager,
		SUBREGION_TYPE const &	elementSubRegion,
		FE_TYPE const &	finiteElementSpace,
		CONSTITUTIVE_TYPE *const	inputConstitutiveType,
		arrayView1d< globalIndex const > const &	inputDofNumber,
		globalIndex const	rankOffset,
		CRSMatrixView< real64, globalIndex const > const &	inputMatrix,
		arrayView1d< real64 > const &	inputRhs,
		string const &	fieldName
	)

inline

Constructor.

Parameters

nodeManager	Reference to the NodeManager object.
edgeManager	Reference to the EdgeManager object.
faceManager	Reference to the FaceManager object.
inputDofNumber	The dof number for the primary field.
rankOffset	dof index offset of current rank
inputMatrix	Reference to the Jacobian matrix.
inputRhs	Reference to the RHS vector. Constructor.
elementSubRegion	Reference to the SUBREGION_TYPE(class template parameter) object.
inputConstitutiveType	The constitutive object.
finiteElementSpace	Placeholder for the finite element space object, which currently doesn't do much.
fieldName	The name of the primary field (i.e. Temperature, Pressure, etc.)

Definition at line 87 of file LaplaceFEMKernels.hpp.

Member Function Documentation

◆ complete()

template<typename SUBREGION_TYPE , typename CONSTITUTIVE_TYPE , typename FE_TYPE >

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE real64 geosx::LaplaceFEMKernel< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE >::complete	(	localIndex const	k,
		StackVariables &	stack
	)		const

inline

Performs the complete phase for the kernel.

Template Parameters

STACK_VARIABLE_TYPE The type of StackVariable that holds the stack variables. This is most likely a defined in a type that derives from KernelBase.

Parameters

k	The element index.
stack	The StackVariable object that hold the stack variables.

Returns: The maximum contribution to the residual.

KernelBase::complete() Description

The operations typically found in complete are the mapping of the local Jacobian and Residual into the global Jacobian and Residual.

Form element residual from the fully formed element Jacobian dotted with the primary field and map the element local Jacobian/Residual to the global matrix/vector.

Definition at line 208 of file LaplaceFEMKernels.hpp.

◆ quadraturePointKernel()

template<typename SUBREGION_TYPE , typename CONSTITUTIVE_TYPE , typename FE_TYPE >

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE void geosx::LaplaceFEMKernel< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE >::quadraturePointKernel	(	localIndex const	k,
		localIndex const	q,
		StackVariables &	stack
	)		const

inline

Performs a state update at a quadrature point.

Template Parameters

STACK_VARIABLE_TYPE The type of StackVariable that holds the stack variables. This is most likely a defined in a type that derives from KernelBase.

Parameters

k	The element index.
q	The quadrature point index.
stack	The StackVariable object that hold the stack variables.

KernelBase::quadraturePointKernel() Description

The operations found here are the mapping from the support points to the quadrature point, calculation of gradients, etc. From this data the state of the constitutive model is updated if required by the physics package.

Definition at line 183 of file LaplaceFEMKernels.hpp.

◆ setup()

template<typename SUBREGION_TYPE , typename CONSTITUTIVE_TYPE , typename FE_TYPE >

GEOSX_HOST_DEVICE GEOSX_FORCE_INLINE void geosx::LaplaceFEMKernel< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE >::setup	(	localIndex const	k,
		StackVariables &	stack
	)		const

inline

Copy global values from primary field to a local stack array.

Performs the setup phase for the kernel.

Template Parameters

STACK_VARIABLE_TYPE The type of StackVariable that holds the stack variables. This is most likely a defined in a type that derives from KernelBase.

Parameters

k	The element index.
stack	The StackVariable object that hold the stack variables.

KernelBase::setup() Description

The operations typically found in setup are thing such as the collection of global data into local stack storage.

ImplicitKernelBase::setup() Description

In this implementation, the element local Row and Column DOF stack arrays are filled for when we fill the global matrix and rhs.

Note: This seems like a waste of register space. We should do this in complete() unless we actually need these dof somewhere else in the kernel.

For the LaplaceFEMKernel implementation, global values from the primaryField, and degree of freedom numbers are placed into element local stack storage.

Definition at line 158 of file LaplaceFEMKernels.hpp.

The documentation for this class was generated from the following file:

coreComponents/physicsSolvers/simplePDE/LaplaceFEMKernels.hpp

Classes

Public Types

Public Member Functions

Static Public Attributes

Protected Attributes

Additional Inherited Members

Detailed Description

template<typename SUBREGION_TYPE, typename CONSTITUTIVE_TYPE, typename FE_TYPE> class geosx::LaplaceFEMKernel< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE >

General KernelBase Description

LaplaceFEMKernel Description

Constructor & Destructor Documentation

◆ LaplaceFEMKernel()

Member Function Documentation

◆ complete()

KernelBase::complete() Description

◆ quadraturePointKernel()

KernelBase::quadraturePointKernel() Description

◆ setup()

KernelBase::setup() Description

ImplicitKernelBase::setup() Description

template<typename SUBREGION_TYPE, typename CONSTITUTIVE_TYPE, typename FE_TYPE>
class geosx::LaplaceFEMKernel< SUBREGION_TYPE, CONSTITUTIVE_TYPE, FE_TYPE >