Wavelet Methods in Computational Fluid Dynamics

被引：212

作者：

Schneider, Kai ^{[1
,2
,3
]}

Vasilyev, Oleg V. ^{[4
]}

机构：

[1] CNRS, Lab Modelisat Mecan & Procedes Propres, F-13451 Marseille 20, France

[2] Univ Aix Marseille, F-13451 Marseille 20, France

[3] Univ Aix Marseille 1, Ctr Math & Informat, F-13453 Marseille 13, France

[4] Univ Colorado, Dept Mech Engn, Boulder, CO 80309 USA

来源：

ANNUAL REVIEW OF FLUID MECHANICS | 2010年 / 42卷

基金：

美国国家科学基金会;

关键词：

adaptive methods for Navier-Stokes equations; multiresolution analysis; hierarchy of turbulence models; coherent vortex extraction and simulation; adaptive large-eddy simulations; PARTIAL-DIFFERENTIAL-EQUATIONS; COHERENT VORTEX SIMULATION; BRINKMAN PENALIZATION METHOD; ADAPTIVE MESH REFINEMENT; COLLOCATION METHOD; NUMERICAL-SOLUTION; DIVERGENCE-FREE; BOUNDARY-CONDITIONS; DECAYING TURBULENCE; ORTHONORMAL BASES;

D O I：

10.1146/annurev-fluid-121108-145637

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This article reviews state-of-the-art adaptive, multiresolution wavelet methodologies for modeling and simulation of turbulent flows with various examples. Different numerical methods for solving the Navier-Stokes equations in adaptive wavelet bases are described. We summarize coherent vortex extraction methodologies, which utilize the efficient wavelet decomposition of turbulent flows into space-scale contributions, and present a hierarchy of wavelet-based turbulence models. Perspectives for modeling and computing industrially relevant flows are also given.

引用

页码：473 / 503

页数：31

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