Vortex dominated flows. Analysis and computation for multiple scale phenomena
type: Item
instance of: scholarly article
title: Vortex dominated flows. Analysis and computation for multiple scale phenomena
zbMATH Open document ID: 1130.76002
DOI: 10.1007/978-3-540-68582-1
author: Lu Ting
author: Omar M. Knio
author: Rupert Klein
published in: Applied Mathematical Sciences
publication date: 2007-03-14T00:00:00Z
review text: This monograph familiarizes the reader with theoretical foundations of vortex-dominated flows, provides in-depth analyses via matched and multiscale asymptotics, and demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The dynamics of slender vortex filaments is discussed in detail, including fundamental derivations, compressible core structure, weakly nonlinear limit regimes, and associated numerical methods. Similarly, the monograph covers asymptotic analyses and computational techniques for weakly compressible flows involving vortex-generated sound and thermoacoustics. The present book is a revised, updated and enlarged edition of the first edition [\textit{T. Lu} and \textit{R. Klein}, Viscous vortical flows. Lecture Notes in Physics 374]. Maintaining the spirit of the first edition, this book serves both for graduate students and researches working in the areas of applied mathematics and of theoretical and/or computational fluid dynamics.
reviewed by: Felix Kaplanski
Mathematics Subject Classification ID: 76-02
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 76D17
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 76M45
zbMATH DE Number: 5134009
zbMATH Keywords: vortex filament
zbMATH Keywords: asymptotic analyses
zbMATH Keywords: weakly compressible flows
zbMATH Keywords: thermoacoustics
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-540-68582-1
OpenAlex ID: W3024419586
description: scientific article; zbMATH DE number 5134009