Filtering techniques for complex geometry fluid flows

Julie S. Mullen, Paul F. Fischer

Research output: Contribution to journalArticlepeer-review

Abstract

We develop a class of filters based upon the numerical solution of high-order elliptic problems in R(d) which allow for independent determination of order and cut-off wave number and which default to classical Fourier-based filters in homogeneous domains. However, because they are based on the solution of a PDE, the present filters are not restricted to applications in tensor-product based geometries as is generally the case for Fourier-based filters. The discrete representation of the filtered output is constructed from a Krylov space generated in solving a well-conditioned system arising from a low-order PDE.

Original languageEnglish (US)
Pages (from-to)9-18
Number of pages10
JournalCommunications in Numerical Methods in Engineering
Volume15
Issue number1
DOIs
StatePublished - Jan 1 1999
Externally publishedYes

Keywords

  • Complex geometry
  • Krylov methods
  • Large eddy simulation
  • Spatial filters
  • Spectral elements

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • Engineering(all)
  • Computational Theory and Mathematics
  • Applied Mathematics

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