MATHEMATICAL ANALYSIS OF A SPECTRAL HYPERVISCOSITY LES MODEL FOR THE SIMULATION OF TURBULENT FLOWS
MATHEMATICAL ANALYSIS OF A SPECTRAL HYPERVISCOSITY LES MODEL FOR THE SIMULATION OF TURBULENT FLOWS
复制标题
湍流模拟的谱超粘LES模型的数学分析
DOI：
10.1051/m2an:2003060
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
S. Prudhomme
中科院分区：
文献类型：
--
作者：
J. Guermond;S. Prudhomme
本文提出了一种基于谱高粘性的三维不可压湍流模型。该模型的一个特殊性是高粘性仅在短速度尺度下活跃，这一特征让人想起大涡模拟模型。我们提出了扰动Navier-Stokes方程的Fourier-Galerkin近似，并证明了当截断波数趋于无穷大时，模型的解收敛到Duchon和Robert（2000）定义的耗散弱解.
This paper presents a model based on spectral hyperviscosity for the simulation of 3D turbulent incompressible flows. One particularity of this model is that the hyperviscosity is active only at the short velocity scales, a feature which is reminiscent of Large Eddy Simulation models. We propose a Fourier{Galerkin approximation of the perturbed Navier{Stokes equations and we show that, as the cuto wavenumber goes to innity, the solution of the model converges (up to subsequences) to a weak solution which is dissipative in the sense dened by Duchon and Robert (2000).