Well-posedness and stability of exact non-reflecting boundary conditions

Sofia Eriksson; Jan Nordström

doi:10.2514/6.2013-2960

Well-posedness and stability of exact non-reflecting boundary conditions

Research output: Contribution to conference › Paper › peer-review

Abstract

Exact non-reflecting boundary conditions for an incompletely parabolic system have been studied. It is shown that well-posedness is a fundamental property of the non-reflecting boundary conditions. By using summation by parts operators for the numerical approximation and a weak boundary implementation, energy stability follows automatically. The stability in combination with the high order accuracy results in a reliable, effcient and accurate method. The theory is supported by numerical simulations.

Original language	English
DOIs	https://doi.org/10.2514/6.2013-2960
Publication status	Published - 2013
Externally published	Yes
Event	21st AIAA Computational Fluid Dynamics Conference - San Diego, CA, United States Duration: 24 Jun 2013 → 27 Jun 2013

Conference

Conference	21st AIAA Computational Fluid Dynamics Conference
Country/Territory	United States
City	San Diego, CA
Period	24/06/13 → 27/06/13

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Energy Engineering and Power Technology
Aerospace Engineering
Mechanical Engineering

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10.2514/6.2013-2960

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title = "Well-posedness and stability of exact non-reflecting boundary conditions",

abstract = "Exact non-reflecting boundary conditions for an incompletely parabolic system have been studied. It is shown that well-posedness is a fundamental property of the non-reflecting boundary conditions. By using summation by parts operators for the numerical approximation and a weak boundary implementation, energy stability follows automatically. The stability in combination with the high order accuracy results in a reliable, effcient and accurate method. The theory is supported by numerical simulations.",

author = "Sofia Eriksson and Jan Nordstr{\"o}m",

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doi = "10.2514/6.2013-2960",

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AU - Eriksson, Sofia

AU - Nordström, Jan

PY - 2013

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AB - Exact non-reflecting boundary conditions for an incompletely parabolic system have been studied. It is shown that well-posedness is a fundamental property of the non-reflecting boundary conditions. By using summation by parts operators for the numerical approximation and a weak boundary implementation, energy stability follows automatically. The stability in combination with the high order accuracy results in a reliable, effcient and accurate method. The theory is supported by numerical simulations.

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U2 - 10.2514/6.2013-2960

DO - 10.2514/6.2013-2960

M3 - Paper

AN - SCOPUS:85085719978

T2 - 21st AIAA Computational Fluid Dynamics Conference

Y2 - 24 June 2013 through 27 June 2013

ER -

Well-posedness and stability of exact non-reflecting boundary conditions

Abstract

Conference

ASJC Scopus subject areas

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