不可压缩Navier-Stokes方程的原始局部多网格细化方法数值求解

Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy Pub Date : 2000-01-01 DOI:10.1016/S1287-4620(00)88419-7

Stéphane Vincent, Jean-Paul Caltagirone

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引用次数: 7

摘要

在单一网格上对非定常结构、边界层或自由表面等复杂流动进行数值模拟，由于需要大量的计算点来保证对不同尺度问题的满意描述，因此在时间和CPU上非常贪婪。针对Navier-Stokes方程和能量方程，提出了一种新颖的局部多网格方法，能够在细胞尺度上细化网格。本文将方形腔内自然对流的结果与瑞利数在105 ~ 108范围内的文献结果进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical solving of incompressible Navier-Stokes equations using an original local multigrid refinement method

Numerical simulation of complex flows involving unsteady structures, boundary layers or free surfaces on a unique grid is very greedy in time and CPU because a great number of calculation point is needed to ensure a satisfactory description of the different scales of the problem. An original local multigrid method, able to refine the grid at the cell scale, is proposed to solve the Navier-Stokes and energy equations. The results obtained for the natural convection in a square cavity are compared to the one of the literature for Rayleigh numbers in the range 10⁵–10⁸.

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Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy

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