Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations

Jan Nordström; Mark H. Carpenter

doi:10.1006/jcph.1998.6133

Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations

Jan Nordström, Mark H. Carpenter

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

142 Citations (Scopus)

Abstract

Boundary and interface conditions for high-order finite difference methods applied to the constant coefficient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict and strong stability. The interface conditions are stable and conservative even if the finite difference operators and mesh sizes vary from domain to domain. Numerical experiments show that the new conditions also lead to good results for the corresponding nonlinear problems.

Original language	English
Pages (from-to)	621-645
Number of pages	25
Journal	Journal of Computational Physics
Volume	148
Issue number	2
DOIs	https://doi.org/10.1006/jcph.1998.6133
Publication status	Published - 20 Jan 1999
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Access to Document

10.1006/jcph.1998.6133

Cite this

@article{3165e2f16c4944d59b6223fdda75dfac,

title = "Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations",

abstract = "Boundary and interface conditions for high-order finite difference methods applied to the constant coefficient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict and strong stability. The interface conditions are stable and conservative even if the finite difference operators and mesh sizes vary from domain to domain. Numerical experiments show that the new conditions also lead to good results for the corresponding nonlinear problems.",

author = "Jan Nordstr{\"o}m and Carpenter, {Mark H.}",

year = "1999",

month = jan,

day = "20",

doi = "10.1006/jcph.1998.6133",

language = "English",

volume = "148",

pages = "621--645",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations

AU - Nordström, Jan

AU - Carpenter, Mark H.

PY - 1999/1/20

Y1 - 1999/1/20

N2 - Boundary and interface conditions for high-order finite difference methods applied to the constant coefficient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict and strong stability. The interface conditions are stable and conservative even if the finite difference operators and mesh sizes vary from domain to domain. Numerical experiments show that the new conditions also lead to good results for the corresponding nonlinear problems.

AB - Boundary and interface conditions for high-order finite difference methods applied to the constant coefficient Euler and Navier-Stokes equations are derived. The boundary conditions lead to strict and strong stability. The interface conditions are stable and conservative even if the finite difference operators and mesh sizes vary from domain to domain. Numerical experiments show that the new conditions also lead to good results for the corresponding nonlinear problems.

UR - http://www.scopus.com/inward/record.url?scp=0000915165&partnerID=8YFLogxK

U2 - 10.1006/jcph.1998.6133

DO - 10.1006/jcph.1998.6133

M3 - Article

AN - SCOPUS:0000915165

SN - 0021-9991

VL - 148

SP - 621

EP - 645

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this