src/PDE/ directory

Partial differential equations.

This directory contains implementations of spatial discretizations for partial differential equations (PDE). (Partial as opposed to ordinary differential equations in src/DiffEq). At this time, all of these PDEs are used exclusively by Inciter.

Configure<eq>.[Ch] contain functionality related to registration and querying user-configuration information on specific equation types.

All specific equation types "inherit" from a common "base" so that user-configured instances of multiple specific equations (as a potentially coupled system) can be integrated in a generic fashion. This is done using concept-based runtime polymorphism.

The specific equation types are registered into a factory, which leads to generic code for configuring and using existing equation types and adding new ones.

Currently, there are two families of spatial discretizations (or schemes) implemented: continuous and discontinuous Galerkin (CG, DG) finite element methods (FEM). Correspondingly, there are two factories into which PDEs are registered, inciter::CGFactory and inciter::DGFactory. (These are analogous to tk::DiffEqFactory in Walker.)

CG discretization in space is combined with a time stepping scheme that is equivalent to the Lax-Wendroff (LW) scheme adopted to the unstructured-mesh finite element context and treats discontinuities with flux-corrected transport (FCT).

DG discretization in space is combined with Runge-Kutta time stepping.

Directories

directory CompFlow/

Partial differential equations for compressible flow.

directory Integrate/

Integrals of various PDE operators used in discontinuous Galerkin methods.

directory MultiMat/

Partial differential equations for compressible multi-material flow.

directory Riemann/

Approximate Riemann solvers.

directory Transport/

Partial differential equations for scalar transport.

Files

file CGPDE.cpp

Functions common to ALECG.

file CGPDE.hpp

Partial differential equation base for continuous Galerkin PDEs.

file ConfigureCompFlow.cpp

Register and compile configuration for compressible flow PDE.

file ConfigureCompFlow.hpp

Register and compile configuration for compressible flow PDE.

file ConfigureMultiMat.cpp

Register and compile configuration for multi-material compressible flow PDE.

file ConfigureMultiMat.hpp

Register and compile configuration for multi-material compressible flow PDE.

file ConfigureOutVar.cpp

Assign functions to compute output variables from the numerical solution.

file ConfigureOutVar.hpp

Assign functions to compute output variables from the numerical solution.

file ConfigureTransport.cpp

Register and compile configuration on the transport PDE.

file ConfigureTransport.hpp

Register and compile configuration on the Transport PDE.

file DGPDE.cpp

Functions common to discontinuous Galerkin PDE types.

file DGPDE.hpp

Partial differential equation base for discontinuous Galerkin PDEs.

file FunctionPrototypes.hpp

Function prototypes used in PDE classes.

file InfoMesh.hpp

Assemble info on the configuration of solver coupling.

file Limiter.cpp

Limiters for discontiunous Galerkin methods.

file Limiter.hpp

Limiters for discontiunous Galerkin methods.

file PDEFactory.hpp

Differential equations factory.

file PDEStack.cpp

Stack of partial differential equations.

file PDEStack.hpp

Stack of differential equations.

file PrefIndicator.cpp

Adaptive indicators for p-adaptive discontiunous Galerkin methods.

file Reconstruction.cpp

Reconstruction for reconstructed discontinuous Galerkin methods.

file Reconstruction.hpp

Reconstruction for reconstructed Galerkin methods.