A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations

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yhhuang 添加于 2010-03-08 07:52 119 次阅读 | 0 个评论收藏到我的文库| 导出该文献

作者
Li M, Tang T, Fornberg B
摘要
We note in this study that the Navier-Stokes equations, when expressed in streamfunction-vorticity form, can be approximated to fourth-order accuracy with stencils extending only over a 3 x 3 square of points. The key advantage of the new compact fourth-order scheme is that it allows direct iteration for low-to-medium Reynolds numbers. Numerical solutions are obtained for the model problem of the driven cavity and compared with solutions available in the literature. For Re 7500 point-SOR iteration is used and the convergence is fast.
详细资料
- 文献种类: Journal Article
- 期刊名称: International Journal for Numerical Methods in Fluids
- 期刊缩写: Int. J. Numer. Meth. Fluids
- 期卷页: 1995年第20卷第10期 1137-1151页
- ISBN: 0271-2091
学科领域自然科学 » 数学
标签
Navier-Stokes compact scheme finite difference methods
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