A method for obtaining benchmark Navier-Stokes solutions

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Abstract

A refinement to an established method for obtaining benchmark Navier-Stokes solutions is presented. Pressure and body forces are derived explicitly such that the momentum equations are satisfied. The problem is reduced to determining a streamfunction in separation of variables form that describes a desired flow pattern. Examples based upon the well-known shear flow cavity are presented.

Original languageEnglish
Pages (from-to)657-660
Number of pages4
JournalInternational Journal for Numerical Methods in Fluids
Volume31
Issue number3
DOIs
StatePublished - Jan 1 1999

Keywords

  • Benchmarking
  • Exact solution
  • Incompressible flow
  • Navier-Stokes equations

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