Conservation properties of a new unstructured staggered scheme

被引：15

作者：

Wenneker, I ^{[1
]}

Segal, A ^{[1
]}

Wesseling, P ^{[1
]}

机构：

[1] Delft Univ Technol, Fac Informat Technol & Syst, Dept Appl Math Anal, JM Burgers Ctr, NL-2628 CD Delft, Netherlands

来源：

COMPUTERS & FLUIDS | 2003年 / 32卷 / 01期

关键词：

Euler equations; compressible flows; conservative schemes; unstructured grids; staggered schemes;

D O I：

10.1016/S0045-7930(01)00094-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In Wenneker et al. [Computation of compressible flows on unstructured staggered grids. In: Onate E, Bugeda G, Suarez B, editors. Proceedings European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, 11-14 September 2000, Barcelona, 2000. CIMNE. http://ta.twi.tudelft.nl/users/wesseling/pub.html] an unstructured staggered scheme for the two-dimensional (2D) Euler equations is discussed. Such a scheme cannot be in classic conservation form for momentum. The aim of the present paper is to formulate a generalized conservation form for momentum on unstructured staggered grids, and to demonstrate by numerical experiments that the scheme satisfies the Rankine-Hugoniot conditions. Numerical results for 1D Riemann problems on 2D unstructured grids confirm that the scheme converges to the entropy solution. In addition, transonic flow around an airfoil is computed. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：139 / 147

页数：9

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