Two-dimensional central-upwind schemes for curvilinear grids and application to gas dynamics with angular momentum

被引:14
|
作者
Illenseer, Tobias F. [1 ]
Duschl, Wolfgang J. [1 ,2 ]
机构
[1] Univ Kiel, Inst Theoret Phys & Astrophys, D-24118 Kiel, Germany
[2] Univ Arizona, Steward Observ, Tucson, AZ 85721 USA
关键词
Central-upwind schemes; Finite volume methods; Two-dimensional conservation laws; Euler equations; Conservation of angular momentum; HYPERBOLIC CONSERVATION-LAWS; NONOSCILLATORY CENTRAL SCHEMES; HIGH-RESOLUTION SCHEMES; DIFFERENCE SCHEME; MATHEMATICAL PHYSICS; ASTROPHYSICAL FLOWS; RIEMANN PROBLEMS; SOURCE TERMS; EQUATIONS; CONVECTION;
D O I
10.1016/j.cpc.2009.07.016
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this work we present new second order semi-discrete central schemes for systems of hyperbolic conservation laws on curvilinear grids. Our methods generalise the two-dimensional central-Upwind schemes developed by Kurganov and Tadmor [A. Kurganov, E. Tadmor, Numer. Methods Partial Differential Equations 18 (2002) 584. [1]]. In these schemes we account for area and volume changes in the numerical flux functions due to the non-cartesian geometries. In case of vectorial conservation laws we introduce a general prescription of the geometrical source terms valid for various orthogonal curvilinear coordinate systems. The methods are applied to the two-dimensional Euler equations of inviscid gas dynamics with and without angular momentum transport. In the latter case we introduce a new test problem to examine the detailed conservation of specific angular momentum. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:2283 / 2302
页数:20
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