We present two new Lagrangian methods for hydrodynamics, in a systematic comparison
with moving-mesh, smoothed particle hydrodynamics (SPH), and stationary (non-moving) …

We develop a new family of well-balanced path-conservative quadrature-free one-step
ADER finite volume and discontinuous Galerkin finite element schemes on unstructured …

We propose a new arbitrary high order accurate semi-implicit space–time discontinuous
Galerkin (DG) method for the solution of the two and three dimensional compressible Euler …

In this paper we propose a new high order accurate centered path-conservative method on
unstructured triangular and tetrahedral meshes for the solution of multi-dimensional non …

This paper is concerned with a new version of the Osher-Solomon Riemann solver and is
based on a numerical integration of the path-dependent dissipation matrix. The resulting …

In this paper a new hybrid semi-implicit finite volume/finite element (FV/FE) scheme is
presented for the numerical solution of the compressible Euler and Navier–Stokes equations …

In this paper we propose a novel arbitrary high order accurate semi-implicit space–time
discontinuous Galerkin method for the solution of the three-dimensional incompressible …

Multidimensional Riemann solvers have been formulated recently by the author (Balsara,
2010, 2012)[6],[7]. They operate at the vertices of a two-dimensional mesh, taking input from …

In this paper, we propose a new unified first order hyperbolic model of Newtonian continuum
mechanics coupled with electro-dynamics. The model is able to describe the behavior of …

In this paper, we present a novel pressure‐based semi‐implicit finite volume solver for the
equations of compressible ideal, viscous, and resistive magnetohydrodynamics (MHD). The …