MeltPoolDG::Utils::DGDiffusionOperator< dim, number, Kernel, VectorizedArrayType > Struct Template Reference

#include <dg_generic_convection_diffusion_worker.hpp>

Classes
struct	FaceFlux

Public Types
using	ValueType = typename Kernel::ValueType
using	GradientType = typename Kernel::GradientType

Static Public Member Functions
static GradientType	cell (const ValueType &u, const GradientType &grad_u, const Kernel &kernel)
static FaceFlux	face (const ValueType &u_m, const ValueType &u_p, const GradientType &grad_u_m, const GradientType &grad_u_p, const dealii::Tensor< 1, dim, VectorizedArrayType > &normal, const VectorizedArrayType penalty_parameter, const Kernel &kernel)

Detailed Description

template<int dim, typename number, DiffusionKernelType Kernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>
struct MeltPoolDG::Utils::DGDiffusionOperator< dim, number, Kernel, VectorizedArrayType >

Generic discontinuous Galerkin operator for diffusion problems, based on the symmetric interior penalty method. The physical diffusive flux is defined by a user-provided kernel, which specifies how the flux depends on the local solution value and its gradient.

Member Typedef Documentation

GradientType

template<int dim, typename number , DiffusionKernelType Kernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

using MeltPoolDG::Utils::DGDiffusionOperator< dim, number, Kernel, VectorizedArrayType >::GradientType = typename Kernel::GradientType

ValueType

template<int dim, typename number , DiffusionKernelType Kernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

using MeltPoolDG::Utils::DGDiffusionOperator< dim, number, Kernel, VectorizedArrayType >::ValueType = typename Kernel::ValueType

Member Function Documentation

cell()

template<int dim, typename number , DiffusionKernelType Kernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

static GradientType MeltPoolDG::Utils::DGDiffusionOperator< dim, number, Kernel, VectorizedArrayType >::cell ( const ValueType &  u, const GradientType &  grad_u, const Kernel &  kernel  )

inlinestatic

Compute the diffusive flux contribution at a cell quadrature point using the provided kernel.

Parameters

u	Local values of the conserved variables at the quadrature point.
grad_u	Local gradients of the conserved variables at the quadrature point.
kernel	User-provided kernel defining how to compute the diffusive flux from the local solution values and gradients.

Returns

Diffusive flux contribution for the cell integral.

face()

template<int dim, typename number , DiffusionKernelType Kernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

static FaceFlux MeltPoolDG::Utils::DGDiffusionOperator< dim, number, Kernel, VectorizedArrayType >::face ( const ValueType &  u_m, const ValueType &  u_p, const GradientType &  grad_u_m, const GradientType &  grad_u_p, const dealii::Tensor< 1, dim, VectorizedArrayType > &  normal, const VectorizedArrayType  penalty_parameter, const Kernel &  kernel  )

inlinestatic

Compute the diffusive flux contribution at a face quadrature point using the symmetric interior penalty method based on the provided kernel.

Parameters

u_m	Local values of the conserved variables on the inner face.
u_p	Local values of the conserved variables on the outer face.
grad_u_m	Local gradients of the conserved variables on the inner face.
grad_u_p	Local gradients of the conserved variables on the outer face.
normal	Outer facing normal vector at the face quadrature point.
penalty_parameter	Local value of the interior penalty parameter at the face quadrature point.
kernel	User-provided kernel defining how to compute the diffusive flux from the local solution values and gradients.

Returns

Diffusive flux contribution for the face integral, including both inner and outer face values and gradients.

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

• include/meltpooldg/utilities/dg_generic_convection_diffusion_worker.hpp