Wavelet Methods in Computational Fluid Dynamics

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 extrac...

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Bibliographic Details
Published in:Annual review of fluid mechanics 2010, Vol.42 (1), p.473-503
Main Authors: SCHNEIDER, Kai, VASILYEV, Oleg V
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computational methods in fluid dynamics
Computer simulation
Engineering Sciences
Exact sciences and technology
Fluid dynamics
Fluid flow
Fluid mechanics
Fluids mechanics
Fundamental areas of phenomenology (including applications)
Mathematical models
Mechanics
Navier-Stokes equations
Physics
Turbulence
Turbulence simulation and modeling
Turbulent flow
Turbulent flows, convection, and heat transfer
Wavelet
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Description
Summary: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.
ISSN:0066-4189
1545-4479
DOI:10.1146/annurev-fluid-121108-145637