As computational astrophysics comes under pressure to become a precision science, there
is an increasing need to move to high accuracy schemes for computational astrophysics …

In this paper, a new type of high-order finite difference and finite volume multi-resolution
weighted essentially non-oscillatory (WENO) schemes is presented for solving hyperbolic …

A reconstructed discontinuous Galerkin (RDG) method based on a hierarchical WENO
reconstruction, termed HWENO (P1P2) in this paper, designed not only to enhance the …

A Hermite WENO reconstruction-based discontinuous Galerkin method RDG (P1P2),
designed not only to enhance the accuracy of discontinuous Galerkin method but also to …

Hierarchical multi-dimensional limiting process (MLP) is improved and extended for flux
reconstruction or correction procedure via reconstruction (FR/CPR) on unstructured grids …

In this paper we present a pressure correction scheme for the compressible Navier-Stokes
equations. The space discretization is staggered, using either the Marker-And-Cell (MAC) …

A set of implicit methods are proposed for a third-order hierarchical WENO reconstructed
discontinuous Galerkin method for compressible flows on 3D hybrid grids. An attractive …

This paper deals with the multi-dimensional limiting process (MLP) for discontinuous
Galerkin (DG) methods to compute compressible inviscid and viscous flows. The MLP, which …

In this paper, the multidimensional limiter for the second order finite volume schemes on the
unstructured grid, namely the Weighted Biased Average procedure developed in our …

The present paper deals with the robust and accurate multi-dimensional limiting process for
higher-order discontinuous Galerkin (DG) and flux resconstruction or correction procedure …