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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Tsoutsanis, P.¹  Titarev, V. A.¹  Drikakis, D.¹ 

[1] Cranfield Univ, Dept Fluid Mech & Computat Sci, Cranfield MK43 0AL, Beds, England

关键词: WENO;    Unstructured;    Tetrahedral;    Hexahedral;    Prismatic;    Pyramidal;    Mixed-element;    Three space dimensions;    Very high order;    Euler;   

DOI  :  10.1016/j.jcp.2010.11.023

来源: Elsevier

【 摘 要 】

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 various types of grids. Schemes of up to fifth order of spatial accuracy are considered. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free