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Wavelet Methods in Computational Fluid Dynamics

delete2010-01-01
delete240
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OA
AI
K
Kai Schneider *
O
Oleg V. Vasilyev
DOI:10.1146/annurev-fluid-121108-145637delete
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Abstract

Abstract

En 中文
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.
Keywords:
adaptive methods for Navier-Stokes equations
multiresolution analysis
hierarchy of turbulence models
coherent vortex extraction and simulation
adaptive large-eddy simulations

Journal

Annual Review of Fluid Mechanics cover
Annual Review of Fluid Mechanics
IF:
30.2
Papers:
611
Citations:
1.9W

Organization

University of Colorado System cover
University of Colorado System
Scholars:
6.3W
Papers: 5.5W
Citations: 1.8K
C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279
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