On flux-extrapolation at supersonic outflow boundaries

Jan Nordström

doi:10.1016/S0168-9274(98)00071-3

On flux-extrapolation at supersonic outflow boundaries

Jan Nordström

Swedish Defence Research Agency

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

6 Citations (Scopus)

Abstract

One way of imposing boundary conditions for the Navier-Stokes equations at artificial supersonic outflow boundaries is to use flux-extrapolation. This procedure is analyzed and compared with variable-extrapolation both for the semi-discrete and continuous problem using the Laplace transform technique. It is shown that flux-extrapolation leads to a loss of accuracy and an extra time growth. The numerical experiments support the analytical results.

Original language	English
Pages (from-to)	447-457
Number of pages	11
Journal	Applied Numerical Mathematics
Volume	30
Issue number	4
DOIs	https://doi.org/10.1016/S0168-9274(98)00071-3
Publication status	Published - 1 Jul 1999
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/S0168-9274(98)00071-3

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title = "On flux-extrapolation at supersonic outflow boundaries",

abstract = "One way of imposing boundary conditions for the Navier-Stokes equations at artificial supersonic outflow boundaries is to use flux-extrapolation. This procedure is analyzed and compared with variable-extrapolation both for the semi-discrete and continuous problem using the Laplace transform technique. It is shown that flux-extrapolation leads to a loss of accuracy and an extra time growth. The numerical experiments support the analytical results.",

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AU - Nordström, Jan

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N2 - One way of imposing boundary conditions for the Navier-Stokes equations at artificial supersonic outflow boundaries is to use flux-extrapolation. This procedure is analyzed and compared with variable-extrapolation both for the semi-discrete and continuous problem using the Laplace transform technique. It is shown that flux-extrapolation leads to a loss of accuracy and an extra time growth. The numerical experiments support the analytical results.

AB - One way of imposing boundary conditions for the Navier-Stokes equations at artificial supersonic outflow boundaries is to use flux-extrapolation. This procedure is analyzed and compared with variable-extrapolation both for the semi-discrete and continuous problem using the Laplace transform technique. It is shown that flux-extrapolation leads to a loss of accuracy and an extra time growth. The numerical experiments support the analytical results.

UR - https://www.scopus.com/pages/publications/0033164499

U2 - 10.1016/S0168-9274(98)00071-3

DO - 10.1016/S0168-9274(98)00071-3

M3 - Article

AN - SCOPUS:0033164499

SN - 0168-9274

VL - 30

SP - 447

EP - 457

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 4

ER -

On flux-extrapolation at supersonic outflow boundaries

Abstract

ASJC Scopus subject areas

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