Vortex-dominated flows and general theory

Lu Ting; Rupert Klein; Omar M. Knio

doi:10.1007/978-3-540-68582-1_2

Vortex-dominated flows and general theory

Lu Ting, Rupert Klein, Omar M. Knio

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The general theory for this monograph is presented in this chapter. We state the Navier–Stokes equations for unsteady compressible vicsous flows in unbounded two- or three-dimensional space and specify the initial data and far-field behavior. A number of fundamental properties or integral invariants of the flow fields are derived. These invariants shall be employed to refine the analytical description of the far-field behavior and to verify the accuracy of numerical solutions.

Original language	English (US)
Title of host publication	Applied Mathematical Sciences (Switzerland)
Publisher	Springer
Pages	7-33
Number of pages	27
DOIs	https://doi.org/10.1007/978-3-540-68582-1_2
State	Published - 2007

Publication series

Name	Applied Mathematical Sciences (Switzerland)
Volume	161
ISSN (Print)	0066-5452
ISSN (Electronic)	2196-968X

Bibliographical note

Publisher Copyright:
© 2007, Springer.

Keywords

Consistency condition
Line integral
Meridional plane
Spherical harmonic
Vector potential

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1007/978-3-540-68582-1_2

Cite this

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AB - The general theory for this monograph is presented in this chapter. We state the Navier–Stokes equations for unsteady compressible vicsous flows in unbounded two- or three-dimensional space and specify the initial data and far-field behavior. A number of fundamental properties or integral invariants of the flow fields are derived. These invariants shall be employed to refine the analytical description of the far-field behavior and to verify the accuracy of numerical solutions.

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KW - Line integral

KW - Meridional plane

KW - Spherical harmonic

KW - Vector potential

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Vortex-dominated flows and general theory

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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