The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …

This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

We present a new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian
(ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of …

In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …

RELAP-7 Theory Manual Page 1 INL REPORT INL/EXT-14-31366 (Revision 3) Unlimited
Release Printed March 2018 RELAP-7 Theory Manual RA Berry, L. Zou, H. Zhao, H. Zhang, JW …

This paper presents a variational reconstruction for the high order finite volume method in
solving the two-dimensional Navier–Stokes equations on arbitrary unstructured grids. In the …

In this paper, we investigate the coupling of the Multi-dimensional Optimal Order Detection
(MOOD) method and the Arbitrary high order DERivatives (ADER) approach in order to …

Fourier analysis based optimization techniques have been developed for numerical
schemes on structured grids and result in significant performance improvements. However …

We present a proof by analysis and numerical results that Van Leer's MUSCL conservative
scheme with the discretization parameter κ is third-order accurate for κ= 1/3. We include both …

Abstract A Direct Discontinuous Galerkin (DDG) method is developed for solving the
compressible Navier–Stokes equations on arbitrary grids in the framework of DG methods …