Weakly compressible high-order I-stable central difference schemes for incompressible viscous flows

被引:11
|
作者
Bao, WZ [1 ]
Jin, S [1 ]
机构
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0045-7825(00)00363-7
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we propose a weakly compressible model for numerical simulation of the incompressible viscous flows. This model asymptotically approximates the incompressible Navier-Stokes equations when the mach number tends to zero. The main advantage of this model is that its numerical discretization avoids any Poisson solver, thus is very attractive for problems with complicated geometries. This model is discretized by high-order center differences in space and the so-called 'I-stable' method for time. The linear stability region of an I-stable method contains part of the imaginary axis. When solving a system of convection-diffusion equations with a small viscosity, the I-stable method allows a very large cell Reynolds number, thus is particularly suitable for the simulation of fluid flows with large Reynolds numbers. Numerical experiments illustrate the efficiency and robustness of this approach. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:5009 / 5026
页数:18
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