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Well-posedness and Stability of Exact Non-reflecting Boundary Conditions
Department of Information Technology, Uppsala University, Uppsala, Sweden.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2013 (English)In: AIAA Aerospace Sciences - Fluid Sciences Event, 2013, 1-18 p.Conference paper (Other academic)
Abstract [en]

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, efficient and accurate method. The theory is supported by numerical simulations.

Place, publisher, year, edition, pages
2013. 1-18 p.
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-96883DOI: 10.2514/6.2013-2960OAI: diva2:643665
21st AIAA Computational Fluid Dynamics Conference 24 - 27 June 2013 San Diego, California
Available from: 2013-08-28 Created: 2013-08-28 Last updated: 2014-12-03

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Nordström, Jan
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Computational MathematicsThe Institute of Technology
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