Analysis of extrapolation boundary conditions for the linearized Euler equations

Thomas Hagstrom, Jan Nordström

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The often-used practice of extrapolating all variables at a subsonic, outflow boundary is investigated. For steady state calculations, we show that the L2 error in a subdomain of fixed size decreases with the distance to the far field boundary. Thus, error reduction can be obtained by expanding the size of the computational domain. Numerical experiments using the Euler equations corroborate the theoretical prediction.

Original languageEnglish
Pages (from-to)95-108
Number of pages14
JournalApplied Numerical Mathematics
Issue number1-2
Publication statusPublished - Jan 2003
Externally publishedYes


  • Computational aerodynamics
  • Euler equations
  • Extrapolation boundary conditions

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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