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Duality based boundary treatment for the Euler and Navier-Stokes equations
Uppsala University, Department of Information Technology.
Linköpings universitet, Matematiska institutionen, Beräkningsmatematik. Linköpings universitet, Tekniska högskolan.ORCID-id: 0000-0002-7972-6183
2013 (engelsk)Inngår i: AIAA Aerospace Sciences - Fluid Sciences Event, 2013, s. 1-19Konferansepaper, Publicerat paper (Annet vitenskapelig)
Abstract [en]

In this paper we construct well-posed boundary conditions for the compressible Euler and Navier-Stokes equations in two space dimensions. When also considering the dual equations, we show how to construct the boundary conditions so that both the primal and dual problems are well-posed. By considering the primal and dual problems simultaneously, we construct energy stable and dual consistent finite difference schemes on summation-by-  parts form with weak imposition of the boundary conditions.

According to linear theory, the stable and dual consistent discretization can be used to compute linear integral functionals from the solution at a superconvergent rate. Here we evaluate numerically the superconvergence property for the non-linear Euler and Navier{ Stokes equations with linear and non-linear integral functionals.

sted, utgiver, år, opplag, sider
2013. s. 1-19
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-96812DOI: 10.2514/6.2013-2959OAI: oai:DiVA.org:liu-96812DiVA, id: diva2:643644
Konferanse
21st AIAA Computational Fluid Dynamics Conference, San Diego, CA, USA, 2013
Tilgjengelig fra: 2013-08-28 Laget: 2013-08-27 Sist oppdatert: 2014-12-03

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