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

Peter M. Goorjian; Shigeru Obayashi

doi:10.2514/3.11661

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

Research output: Contribution to journal › Article › 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. 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 language	English
Pages (from-to)	251-256
Number of pages	6
Journal	AIAA journal
Volume	31
Issue number	2
DOIs	https://doi.org/10.2514/3.11661
Publication status	Published - 1993 Feb
Externally published	Yes

ASJC Scopus subject areas

Aerospace Engineering

Access to Document

10.2514/3.11661

Cite this

@article{fa7e45efbff34f5191a6356fd380a7a2,

title = "Higher-order accuracy for upwind methods by using the compatibility equations",

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. 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.",

author = "Goorjian, {Peter M.} and Shigeru Obayashi",

year = "1993",

month = feb,

doi = "10.2514/3.11661",

language = "English",

volume = "31",

pages = "251--256",

journal = "AIAA Journal",

issn = "0001-1452",

publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

number = "2",

}

TY - JOUR

T1 - Higher-order accuracy for upwind methods by using the compatibility equations

AU - Goorjian, Peter M.

AU - Obayashi, Shigeru

PY - 1993/2

Y1 - 1993/2

N2 - 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.

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. 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.

UR - http://www.scopus.com/inward/record.url?scp=0027545123&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027545123&partnerID=8YFLogxK

U2 - 10.2514/3.11661

DO - 10.2514/3.11661

M3 - Article

AN - SCOPUS:0027545123

SN - 0001-1452

VL - 31

SP - 251

EP - 256

JO - AIAA Journal

JF - AIAA Journal

IS - 2

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this