摘要
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。
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 tiowfields. 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.
出处
《力学进展》
EI
CSCD
北大核心
2005年第4期481-497,共17页
Advances in Mechanics
基金
国家自然科学基金(10402043)
国家863计划项目(2004AA639840)资助项目~~
关键词
NAVIER-STOKES方程
边界层方程
PNS方程
TLNS方程
DPNS方程
广义DPNS方程
差分法
Navier-Stokes equation, boundary-layer equation, simplified N-S equation, parabolized N-S equation, thin-layer N-S equation, diffusion parabolized N-S equation, finite difference method
