MeltPoolDG::Utils::DGConvectionDiffusionOperator< dim, number, ConvectiveKernel, DiffusiveKernel, VectorizedArrayType > Struct Template Reference

#include <dg_generic_convection_diffusion_worker.hpp>

Classes
struct	FaceFlux

Public Types
using	ConvectionOperator = DGConvectionOperator< dim, number, ConvectiveKernel, VectorizedArrayType >
using	DiffusionOperator = DGDiffusionOperator< dim, number, DiffusiveKernel, VectorizedArrayType >
using	ValueType = typename DiffusionOperator::ValueType
using	GradientType = typename DiffusionOperator::GradientType

Static Public Member Functions
static GradientType	cell (const ValueType &u, const GradientType &grad_u, const ConvectiveKernel &convective_kernel, const DiffusiveKernel &diffusion_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 ConvectiveKernel &convective_kernel, const DiffusiveKernel &diffusion_kernel)

Detailed Description

template<int dim, typename number, ConvectionKernelType ConvectiveKernel, DiffusionKernelType DiffusiveKernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>
struct MeltPoolDG::Utils::DGConvectionDiffusionOperator< dim, number, ConvectiveKernel, DiffusiveKernel, VectorizedArrayType >

Generic discontinuous Galerkin operator for convection-diffusion problems, combining the DGConvectionOperator and DGDiffusionOperator. The physical convective and diffusive fluxes are defined by user-provided kernels, which specify how the fluxes are computed from local solution values and gradients.

Member Typedef Documentation

ConvectionOperator

template<int dim, typename number , ConvectionKernelType ConvectiveKernel, DiffusionKernelType DiffusiveKernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

using MeltPoolDG::Utils::DGConvectionDiffusionOperator< dim, number, ConvectiveKernel, DiffusiveKernel, VectorizedArrayType >::ConvectionOperator = DGConvectionOperator<dim, number, ConvectiveKernel, VectorizedArrayType>

DiffusionOperator

template<int dim, typename number , ConvectionKernelType ConvectiveKernel, DiffusionKernelType DiffusiveKernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

using MeltPoolDG::Utils::DGConvectionDiffusionOperator< dim, number, ConvectiveKernel, DiffusiveKernel, VectorizedArrayType >::DiffusionOperator = DGDiffusionOperator<dim, number, DiffusiveKernel, VectorizedArrayType>

GradientType

template<int dim, typename number , ConvectionKernelType ConvectiveKernel, DiffusionKernelType DiffusiveKernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

using MeltPoolDG::Utils::DGConvectionDiffusionOperator< dim, number, ConvectiveKernel, DiffusiveKernel, VectorizedArrayType >::GradientType = typename DiffusionOperator::GradientType

ValueType

template<int dim, typename number , ConvectionKernelType ConvectiveKernel, DiffusionKernelType DiffusiveKernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

using MeltPoolDG::Utils::DGConvectionDiffusionOperator< dim, number, ConvectiveKernel, DiffusiveKernel, VectorizedArrayType >::ValueType = typename DiffusionOperator::ValueType

Member Function Documentation

cell()

template<int dim, typename number , ConvectionKernelType ConvectiveKernel, DiffusionKernelType DiffusiveKernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

static GradientType MeltPoolDG::Utils::DGConvectionDiffusionOperator< dim, number, ConvectiveKernel, DiffusiveKernel, VectorizedArrayType >::cell ( const ValueType &  u, const GradientType &  grad_u, const ConvectiveKernel &  convective_kernel, const DiffusiveKernel &  diffusion_kernel  )

inlinestatic

Compute the combined convective and diffusive flux contribution at a cell quadrature point using the provided kernels for computing the physical convective and diffusive fluxes.

Parameters

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

Returns

Combined convective and diffusive flux contribution for the cell integral.

face()

template<int dim, typename number , ConvectionKernelType ConvectiveKernel, DiffusionKernelType DiffusiveKernel, typename VectorizedArrayType = dealii::VectorizedArray<number>>

static FaceFlux MeltPoolDG::Utils::DGConvectionDiffusionOperator< dim, number, ConvectiveKernel, DiffusiveKernel, 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 ConvectiveKernel &  convective_kernel, const DiffusiveKernel &  diffusion_kernel  )

inlinestatic

Compute the combined convective and diffusive face flux contribution at a cell face.

Parameters

u_m	Local values of the conserved variables on the inner side of the face.
u_p	Local values of the conserved variables on the outer side of the face.
grad_u_m	Local gradients of the conserved variables on the inner side of the face.
grad_u_p	Local gradients of the conserved variables on the outer side of the face.
normal	Outer facing normal vector at the face quadrature point.
penalty_parameter	Penalty parameter for numerical flux computation.
convective_kernel	User-provided kernel defining how to compute the convective flux from local solution values.
diffusion_kernel	User-provided kernel defining how to compute the diffusive flux from local solution values and gradients.

Returns

Combined convective and diffusive face 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