| 高精度紧致差分方法及其应用 |
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| 引用本文： | 田振夫.高精度紧致差分方法及其应用[J].上海大学学报(英文版),2006,10(6):558-560. |
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| 作者姓名： | 田振夫 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China |
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| 摘 要： | Numerical si mulation of complex flow fields withmulti-scale structures is one of the most i mportant andchallenging branches of computational fluid dynamics .Fromlinear analysis and numerical experi ments it hasbeen discovered that the higher-order accurate methodcan give reliable and efficient computational results ,aswell as better resolution of the complex flow fieldswith multi-scale structures . Compact finite differenceschemes , which feature higher-order accuracy andspectral-like resolu…
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| 关 键 词： | 高精度紧致有限差分法 计算流体力学 对流扩散方程 不可压缩流 流场 |
| 文章编号： | 1007-6417（2006）06-0558-03 |
| 收稿时间： | 2006-09-18 |
High accuracy compact finite difference methods and their applications |
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| Zhen-fu Tian Ph. D..High accuracy compact finite difference methods and their applications[J].Journal of Shanghai University(English Edition),2006,10(6):558-560. |
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| Authors: | Zhen-fu Tian Ph D |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China |
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| Abstract: | Numerical simulation of complex flow fields with multi-scale structures is one of the most important and challenging branches of computational fluid dynamics. From linear analysis and numerical experiments it has been discovered that the higher-order accurate method can give reliable and efficient computational results, as well as better resolution of the complex flow fields with multi-scale structures. Compact finite difference schemes, which feature higher-order accuracy and spectral-like resolution with smaller stencils and easier application of boundary conditions, has attracted more and more interest and attention. |
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| Keywords: | computational fluid dynamics (CFD) incompressible flow convection-diffusion equation Navier-Stokes equations compact finite difference approximation alternating direction implicit method numerical simulation |
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