Higher order accuracy for upwind methods by using the compatibility equations

Peter M. Goorjian, Shigeru Obayashi

Research output: Contribution to conferencePaper

Abstract

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. 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. These results are compared with results obtained by using a minmod limiter function. The comparisons show improved accuracy throughout the flow field with the use of the compatibility equations.

Original languageEnglish
Publication statusPublished - 1991 Jan 1
Externally publishedYes
Event10th Computational Fluid Dynamics Conference, 1991 - Honolulu, United States
Duration: 1991 Jun 241991 Jun 26

Other

Other10th Computational Fluid Dynamics Conference, 1991
CountryUnited States
CityHonolulu
Period91/6/2491/6/26

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

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    Goorjian, P. M., & Obayashi, S. (1991). Higher order accuracy for upwind methods by using the compatibility equations. Paper presented at 10th Computational Fluid Dynamics Conference, 1991, Honolulu, United States.