摘要
对于描述流体运动的基本方程 N-S 方程,现已开发出了多种不同的数值求解方法。其中以 MAC法和 VOF 法为代表的网格数值方法较为成熟,并被逐渐用于实际工程的水动力研究中;以 SPH 和 MPS为代表的粒子方法则刚刚起步,具有很大的发展空间。针对 N-S 方程中的能量耗散问题,采用雷诺时均化的方程形式仍是目前解决水动力问题的主要途径,但需要引入相应湍流模型,以封闭方程。本文首先对 N-S 方程求解方法的发展过程进行简要回顾,对一些重要的计算方法进行评述,简要介绍其在水波动力学中的应用;然后对时均化的 N-S 方程的主要封闭模式进行总结介绍;最后对数值求解 N-S 方程的发展趋势进行展望。
Nowadays, many different numerical methods have been developed to solve the N-S equation. The two-dimensional version of the grid method, represented by the MAC method and the VOF method, has been well developed and numbers of applications may be found in the literatures. On the other hand, the gridless method i.e. the particle method, has also made its progress recently. The SPH method and the MPS method are the two main branches of it. Reynolds ensemble average method is still the main effective turbulent method to account for the energy dissipation caused by turbulence in the N-S equation, although an additional closure model is needed. In this paper, we will review the developing process of various N-S equation solvers and give comments on some important methods. Some application models will also be summarized. Then, some closure theories of the N-S equation are introduced in the practical sense. Finally, the developing trend of numerical methods for the N-S equation is forecasted.
出处
《海洋通报》
CAS
CSCD
北大核心
2004年第4期79-85,共7页
Marine Science Bulletin
