In this work a non-conservative balance law formulation is considered that encompasses the
rotating, compressible Euler equations for dry atmospheric flows. We develop a semi …

The shear shallow water model is an extension of the classical shallow water model to
include the effects of vertical shear. It is a system of six non-linear hyperbolic PDE with non …

We develop a novel entropy–stable discontinuous Galerkin approximation of the
incompressible Navier–Stokes/Cahn–Hilliard system for p–non–conforming elements. This …

This article presents entropy stable discontinuous Galerkin numerical schemes for equations
of special relativistic hydrodynamics with the ideal equation of state. The numerical schemes …

This paper proposes a second-order accurate direct Eulerian generalized Riemann problem
(GRP) scheme for the ten-moment Gaussian closure equations with source terms. The …

In this article, we consider the Chew, Goldberger and Low (CGL) plasma flow equations,
which is a set of nonlinear, non-conservative hyperbolic PDEs modeling anisotropic plasma …

This article proposes entropy stable discontinuous Galerkin schemes (DG) for two-fluid
relativistic plasma flow equations. These equations couple the flow of relativistic fluids via …

The gasdynamic 10-moment equations are revisited, applying a Chapman-Enskog type
expansion to achieve the closure for heat flux. The resulting gradient-based closure …

This paper proposes novel high-order accurate discontinuous Galerkin (DG) schemes for
the one-and two-dimensional ten-moment Gaussian closure equations with source terms …

Higher order finite difference Weighted Essentially Non-Oscillatory (FD-WENO) schemes for
conservation laws are extremely popular because, for multidimensional problems, they offer …