From Suitable Weak Solutions to Entropy Viscosity
From Suitable Weak Solutions to Entropy Viscosity
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DOI：
10.1007/s10915-010-9445-3
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发表时间：
2011-10-01
影响因子：
2.5
通讯作者：
Popov, Bojan
中科院分区：
文献类型：
--
作者：
Guermond, Jean-Luc;Pasquetti, Richard;Popov, Bojan
本文着重于三维不可压缩Navier-Stokes方程的适当的弱解的概念，并讨论了这一概念的计算流体动力学的相关性。本文的目的是双重的（i）回忆三维不可压缩Navier-Stokes方程的基本数学性质，并显示它们如何可能与LES（ii）引入熵粘性技术的基础上的概念，适当的弱解，并数值说明这一概念。
This paper focuses on the notion of suitable weak solutions for the three-dimensional incompressible Navier-Stokes equations and discusses the relevance of this notion to Computational Fluid Dynamics. The purpose of the paper is twofold (i) to recall basic mathematical properties of the three-dimensional incompressible Navier-Stokes equations and to show how they might relate to LES (ii) to introduce an entropy viscosity technique based on the notion of suitable weak solution and to illustrate numerically this concept.