Higher order accuracy for upwind methods by using the compatibility equations

Peter M. Goorjian; Shigeru Obayashi

doi:10.2514/6.1991-1543

Higher order accuracy for upwind methods by using the compatibility equations

Research output: Contribution to conference › Paper › peer-review

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 language	English
DOIs	https://doi.org/10.2514/6.1991-1543
Publication status	Published - 1991
Externally published	Yes
Event	10th Computational Fluid Dynamics Conference, 1991 - Honolulu, United States Duration: 1991 Jun 24 → 1991 Jun 26

Other

Other	10th Computational Fluid Dynamics Conference, 1991
Country	United States
City	Honolulu
Period	91/6/24 → 91/6/26

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Mechanical Engineering

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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.",

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AB - 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.

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