扩散抛物化Navier-Stokes方程数值解法评述
NUMERICAL SOLUTIONS OF THE DIFFUSION PARABOLIZED NAVIER-STOKES EQUATIONS
查看参考文献189篇
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文摘
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20世纪60年代末期在边界层理论基础上发展起来的各种简化Navier-Stokes(N-S)方程(统称为扩散抛物化N-S方程)及其算法,较为彻底地解决了无黏流及黏流的相互干扰问题,并为高雷诺数大型复杂黏性流场的数值模拟开辟了新的途径.本文将系统地评述这一领域的主要成果,包括各种简化N-S模型的优缺点;数学奇性及正则化方法;代表性的数值解法以及最近几年的新进展. |
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其他语种文摘
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In the late 1960's the different-type simplified Navier-Stokes models, or as are generally called, the diffusion parabolized N-S (DPNS) equations, and their computational methods developed from the Prandtl's boundary-layer theory have correctly included the viscous-inviscid flow interacting mechanism and opened a new approach for simulating large-scale complex flowfields. This paper reviews the related main results of this field, including advantages and drawbacks of different simplified Navier-Stokes models; mathematical characteristics and their marching regularization procedures of the DPNS equations; various representative numerical solutions and the applicability of the DPNS equations and finally the new generalized DPNS equations. |
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来源
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力学进展
,2005,35(4):481-497 【核心库】
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关键词
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Navier-Stokes方程
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边界层方程
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PNS方程
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TLNS方程
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DPNS方程
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广义DPNS方程
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差分法
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地址
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1.
中国科学院计算数学与科学工程计算研究所, 北京, 100080
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中科院力学所, 高温气体动力学开放实验室, 北京, 100080
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0992 |
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学科
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力学 |
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基金
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国家自然科学基金
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国家863计划
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文献收藏号
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CSCD:2138631
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189
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