Higher-order accuracy for upwind methods by using the compatibility equations

Peter M. Goorjian, Shigeru Obayashi

Research output: Contribution to journalArticlepeer-review


A new algorithm has been developed for obtaining higher-order accuracy in upwind schemes for the Euler and Navier-Stokes equations. In this method, the compatibility relations for the Euler equations are used to construct formulas for the higher-order interpolates. By using these formulas, computed results are obtained for steady, inviscid flow through a nozzle and also steady, in viscid, and viscous flow over an airfoil. This approach provides an alternative to total-variation-diminishing and essentially nonoscillatory schemes.

Original languageEnglish
Pages (from-to)251-256
Number of pages6
JournalAIAA journal
Issue number2
Publication statusPublished - 1993 Feb
Externally publishedYes

ASJC Scopus subject areas

  • Aerospace Engineering


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