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

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Original languageEnglish
Pages (from-to)1765-1786
Journal / PublicationInternational Journal for Numerical Methods in Fluids
Issue number9
Publication statusPublished - 30 Mar 2008
Externally publishedYes


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.

Research Area(s)

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

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