FLUID SIMULATION USING AN ADAPTIVE SEMI-DISCRETE CENTRAL-UPWIND SCHEME

被引：1

作者：

Cai, L. ^{[1
]}

Zhou, J. ^{[1
]}

Feng, J. -H. ^{[2
]}

Xie, W. -X. ^{[3
]}

机构：

[1] Northwestern Polytech Univ, Coll Astronaut, Xian 710072, Shaanxi, Peoples R China

[2] Changan Univ, Coll Sci, Xian 710064, Shaanxi, Peoples R China

[3] Northwestern Polytech Univ, Sch Sci, Xian 710072, Shaanxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2007年 / 4卷 / 02期

关键词：

Fluid simulation; hyperbolic conservation laws; central-upwind schemes; local smoothness indicator; triangulation;

D O I：

10.1142/S0219876207001035

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we propose an adaptive semi-discrete central-upwind scheme on triangular meshes to approximate the solutions of hyperbolic conservation laws in gas dynamics: a local smoothness indicator is implemented to identify discontinuous solution regions; away from the discontinuities, a simple and computationally economical flux is used; near the discontinuities, an accurate but computationally uneconomical flux is used. Several numerical experiments, Euler equations and Kelvin-Helmholtz instability, are successfully simulated. The numerical results show the desired accuracy, high efficiency and robustness of the adaptive scheme.

引用

页码：283 / 297

页数：15

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