期刊
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
卷 18, 期 5, 页码 584-608出版社
WILEY
DOI: 10.1002/num.10025
关键词
multidimensional conservation laws; Euler equations of gas dynamics; Riemann problem; semi-discrete central schemes; nonoscillatory piecewise polynomial reconstructions
We report here on our numerical study of the two-dimensional Riemann problem for the compressible Euler equations. Compared with the relatively simple 1-D configurations, the 2-D case consists of a plethora of geometric wave patterns that pose a computational challenge for high-resolution methods. The main feature in the present computations of these 2-D waves is the use of the Riemann-solvers-free central schemes presented by Kurganov et al. This family of central schemes avoids the intricate and time-consuming computation of the eigensystem of the problem and hence offers a considerably simpler alternative to upwind methods. The numerical results illustrate that despite their simplicity, the central schemes are able to recover with comparable high resolution, the various features observed in the earlier, more expensive computations. (C) 2002 Wiley Periodicals, Inc.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据