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Immersed boundary conditions method for unsteady flow problems described by the Laplace operator

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

An implicit, spectral algorithm for the analysis of unsteady flow problems governed by die Laplace operator in corrugated geometries is described. The algorithm treats the physical boundary conditions as constraints along lines internal to the solution domain. The method eliminates the need for coordinate generation and can be quickly adapted to changing geometries. Various tests confirm the spectral accuracy in space and the first- and second-order accuracies in time. Copyright © 2007 John Wiley & Sons, Ltd.
Original languageEnglish
Pages (from-to)1765-1786
JournalInternational Journal for Numerical Methods in Fluids
Volume56
Issue number9
DOIs
Publication statusPublished - 30 Mar 2008
Externally publishedYes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

  • Immersed boundary conditions method
  • Implicit
  • Partial differential equations
  • Spectral

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