Vortex-dominated flows and general theory

Lu Ting, Rupert Klein, Omar M. Knio

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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 languageEnglish (US)
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages27
StatePublished - 2007

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Bibliographical note

Publisher Copyright:
© 2007, Springer.


  • Consistency condition
  • Line integral
  • Meridional plane
  • Spherical harmonic
  • Vector potential

ASJC Scopus subject areas

  • Applied Mathematics


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