On extrapolation procedures at artificial outflow boundaries for the time-dependent Navier-Stokes equations

Jan Nordström

doi:10.1016/S0168-9274(97)00004-4

On extrapolation procedures at artificial outflow boundaries for the time-dependent Navier-Stokes equations

Jan Nordström

Swedish Defence Research Agency

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

9 Citations (Scopus)

Abstract

The problem with extrapolation boundary conditions at artificial outflow boundaries is investigated. A linear semi-discrete model problem describing the error introduced by the artificial boundary is analyzed. The effect of large gradients in the basic flow field is included in the model problem and appropriate error bounds are derived.

Original language	English
Pages (from-to)	457-468
Number of pages	12
Journal	Applied Numerical Mathematics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1016/S0168-9274(97)00004-4
Publication status	Published - Jun 1997
Externally published	Yes

Keywords

Accuracy
Boundary conditions
Error bounds
Navier-Stokes equations
Stability

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/S0168-9274(97)00004-4

Cite this

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title = "On extrapolation procedures at artificial outflow boundaries for the time-dependent Navier-Stokes equations",

abstract = "The problem with extrapolation boundary conditions at artificial outflow boundaries is investigated. A linear semi-discrete model problem describing the error introduced by the artificial boundary is analyzed. The effect of large gradients in the basic flow field is included in the model problem and appropriate error bounds are derived.",

keywords = "Accuracy, Boundary conditions, Error bounds, Navier-Stokes equations, Stability",

author = "Jan Nordstr{\"o}m",

year = "1997",

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doi = "10.1016/S0168-9274(97)00004-4",

language = "English",

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T1 - On extrapolation procedures at artificial outflow boundaries for the time-dependent Navier-Stokes equations

AU - Nordström, Jan

PY - 1997/6

Y1 - 1997/6

N2 - The problem with extrapolation boundary conditions at artificial outflow boundaries is investigated. A linear semi-discrete model problem describing the error introduced by the artificial boundary is analyzed. The effect of large gradients in the basic flow field is included in the model problem and appropriate error bounds are derived.

AB - The problem with extrapolation boundary conditions at artificial outflow boundaries is investigated. A linear semi-discrete model problem describing the error introduced by the artificial boundary is analyzed. The effect of large gradients in the basic flow field is included in the model problem and appropriate error bounds are derived.

KW - Accuracy

KW - Boundary conditions

KW - Error bounds

KW - Navier-Stokes equations

KW - Stability

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U2 - 10.1016/S0168-9274(97)00004-4

DO - 10.1016/S0168-9274(97)00004-4

M3 - Article

AN - SCOPUS:0031162605

SN - 0168-9274

VL - 23

SP - 457

EP - 468

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 4

ER -

On extrapolation procedures at artificial outflow boundaries for the time-dependent Navier-Stokes equations

Abstract

Keywords

ASJC Scopus subject areas

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