Well-posedness and Stability of Exact Non-reflecting Boundary Conditions
2013 (English)In: AIAA Aerospace Sciences - Fluid Sciences Event, 2013, 1-18 p.Conference paper (Other academic)
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.
IdentifiersURN: urn:nbn:se:liu:diva-96883DOI: 10.2514/6.2013-2960OAI: oai:DiVA.org:liu-96883DiVA: diva2:643665
21st AIAA Computational Fluid Dynamics Conference 24 - 27 June 2013 San Diego, California