Analysis of extrapolation boundary conditions for the linearized Euler equations

Thomas Hagstrom; Jan Nordström

doi:10.1016/S0168-9274(02)00113-7

Analysis of extrapolation boundary conditions for the linearized Euler equations

Thomas Hagstrom, Jan Nordström

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	95-108
Number of pages	14
Journal	Applied Numerical Mathematics
Volume	44
Issue number	1-2
DOIs	https://doi.org/10.1016/S0168-9274(02)00113-7
Publication status	Published - Jan 2003
Externally published	Yes

Keywords

Computational aerodynamics
Euler equations
Extrapolation boundary conditions

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/S0168-9274(02)00113-7

Cite this

@article{718204ea48e648388c240351cade115f,

title = "Analysis of extrapolation boundary conditions for the linearized Euler equations",

abstract = "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.",

keywords = "Computational aerodynamics, Euler equations, Extrapolation boundary conditions",

author = "Thomas Hagstrom and Jan Nordstr{\"o}m",

year = "2003",

month = jan,

doi = "10.1016/S0168-9274(02)00113-7",

language = "English",

volume = "44",

pages = "95--108",

journal = "Applied Numerical Mathematics",

issn = "0168-9274",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Analysis of extrapolation boundary conditions for the linearized Euler equations

AU - Hagstrom, Thomas

AU - Nordström, Jan

PY - 2003/1

Y1 - 2003/1

N2 - 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.

AB - 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.

KW - Computational aerodynamics

KW - Euler equations

KW - Extrapolation boundary conditions

UR - http://www.scopus.com/inward/record.url?scp=0037215244&partnerID=8YFLogxK

U2 - 10.1016/S0168-9274(02)00113-7

DO - 10.1016/S0168-9274(02)00113-7

M3 - Article

AN - SCOPUS:0037215244

SN - 0168-9274

VL - 44

SP - 95

EP - 108

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 1-2

ER -

Analysis of extrapolation boundary conditions for the linearized Euler equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this