Some refined finite volume element methods for the Stokes and Navier–Stokes systems with corner singularities

K. Djadel, S. Nicaise
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引用次数: 7

Abstract

It is well known that the solution of the Stokes or Navier–Stokes system in a non convex polygonal domain of has a singular behaviour near non convex corners. Consequently we investigate different refined (non conforming) finite volume-element methods to approximate the solution of such problems and restore optimal orders of convergence as for smooth solutions. Numerical tests are presented, which confirm the theoretical rates of convergence and illustrate the advantage of the use of refined meshes.
具有角点奇点的Stokes系统和Navier-Stokes系统的一些改进有限体积元方法
的非凸多边形域上的Stokes或Navier-Stokes系统的解在非凸角附近具有奇异性。因此,我们研究了不同的精化(非一致性)有限体积元方法来近似这类问题的解,并恢复光滑解的最优收敛阶。数值试验结果证实了理论的收敛速度,并说明了使用精细化网格的优越性。
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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