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Energy Stable High Order Finite Difference Methods for Hyperbolic Equations in Moving Coordinate Systems
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
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, 1-14 p.Conference paper, Published paper (Other academic)
Abstract [en]

A time-dependent coordinate transformation of a constant coeffcient hyperbolic equation which results in a variable coeffcient problem is considered. By using the energy method, we derive well-posed boundary conditions for the continuous problem. It is shown that the number of boundary conditions depend on the coordinate transformation. By using Summation-by-Parts (SBP) operators for the space discretization and weak boundary conditions, an energy stable finite dieffrence scheme is obtained. We also show how to construct a time-dependent penalty formulation that automatically imposes the right number of boundary conditions. Numerical calculations corroborate the stability and accuracy of the approximations.

Place, publisher, year, edition, pages
2013. 1-14 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-96879DOI: 10.2514/6.2013-2579OAI: oai:DiVA.org:liu-96879DiVA: diva2:643630
Conference
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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fulltext(1043 kB)243 downloads
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Nikkar, SamiraNordström, Jan
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CiteExportLink to record
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  • apa
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  • de-DE
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