A refinedr-factor algorithm for TVD schemes on arbitrary unstructured meshes

High-order TVD shock-capturing schemes for unstructured grid solvers

WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions

The paper extends weighted essentially non-oscillatory (WENO) methods to three dimensional mixed-element unstructured meshes, comprising tetrahedral, hexahedral, prismatic and pyramidal elements. Numerical results illustrate the convergence rates and non-oscillatory properties of the schemes for various smooth and discontinuous solutions test cases and the compressible Euler equations on variou...

Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes

Article history: Received 1 November 2012 Received in revised form 16 July 2013 Accepted 23 July 2013 Available online 2 August 2013

FORCE schemes on unstructured meshes I: Conservative hyperbolic systems

In this paper we propose a new high order accurate centered path-conservative method on unstructured triangular and tetrahedral meshes for the solution of multidimensional non-conservative hyperbolic systems, as they typically arise in the context of compressible multi-phase flows. Our path-conservative centered scheme is an extension of the centered method recently proposed in [36] for conserv...

An Algorithm for Parallel Sn Sweeps on Unstructured Meshes

We develop a new algorithm for performing parallel Sn sweeps on unstructured meshes. The algorithm uses a low-complexity list ordering heuristic to determine a sweep ordering on any partitioned mesh. For typical problems and with \normal" mesh partitionings we have observed nearly linear speedups on up to 126 processors. This is an important and desirable result, since although analyses of stru...