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Annual Review of Fluid Mechanics

Volume 42, 2010

Wavelet Methods in Computational Fluid Dynamics*

Abstract

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.

Keyword(s): adaptive large-eddy simulations, adaptive methods for Navier-Stokes equations, coherent vortex extraction and simulation, hierarchy of turbulence models, multiresolution analysis
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2011-09-01
2024-12-05
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Wavelet Methods in Computational Fluid Dynamics*
Annual Review of Fluid Mechanics 42, 473 (2010); https://doi.org/10.1146/annurev-fluid-121108-145637
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