Wavelet methods in computational fluid dynamics. (English) Zbl 1345.76085
Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 42. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0742-4/hbk). Annual Review of Fluid Mechanics 42, 473-503 (2010).
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.
For the entire collection see [Zbl 1210.76008].
For the entire collection see [Zbl 1210.76008].
MSC:
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 65T60 | Numerical methods for wavelets |
