Analysis of extrapolation boundary conditions for the linearized Euler equations

Authors:
Thomas Hagstrom;Jan Nordström
Affiliations:
Department of Mathematics and Statistics, The University of New Mexico, Albuquerque, NM;The Swedish Defense Research Agency (FOI), Aerodynamics Division (FFA), Computational Aerodynamics Department, SE-172 90, Stockholm, Sweden and The Department of Scientific Computing, Information ...
Venue:
Applied Numerical Mathematics
Year:
2003

Citing 4
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Abstract

The often-used practice of extrapolating all variables at a subsonic, outflow boundary is investigated. For steady state calculations, we show that the L2 error in a subdomain of fixed size decreases with the distance to the far field boundary. Thus, error reduction can be obtained by expanding the size of the computational domain. Numerical experiments using the Euler equations corroborate the theoretical prediction.