Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia

FLEXI: A high order discontinuous Galerkin framework for hyperbolic–parabolic conservation laws

ExaDG - High-Order Discontinuous Galerkin for the Exa-Scale

Adaptive computational fluid dynamics

A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.

Discontinuous Galerkin finite element method (DGFEM) for Acoustic Wave Propagation

Discontinuous Galerkin solver for compressible flows

Extreme-scale Discontinuous Galerkin Environment (EDGE)

The main project for the MATLAB / GNU Octave code of FESTUNG

Adaptive multiresolution discontinuous Galerkin C++ package

Numerical methods for edge and scrape-off layer blob and turbulence simulations. Homepage:

BoSSS is a flexible framework for the development, evaluation & application of numerical discretization schemes based on the Discontinuous Galerkin method

High-order unstructured mesh representation and discrete function spaces

flux reconstruction method for advection-diffusion type physics

Spectral-element solver for Maxwell's equations, drift-diffusion equations, and more.

Discontinuous Galerkin FEM Runge-Kutta solver for hyperbolic systems of equations, in particular for shallow water equations.

Two dimensional high-order spectral element method fluid dynamics solver (this code is no longer maintained!)

ODE system solver using dG(q), time-discontinuous Galerkin with Lobatto basis.

Finite Element Method for Electrochemical Transport (EchemFEM)

A library for dynamical cores of atmosphere and ocean models with discontinuous Galerkin finite element method