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.
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页码：473 / 503
页数：31
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