Stable and Accurate Artificial Dissipation

Authors:
Ken Mattsson;Magnus Svärd;Jan Nordström
Affiliations:
Department of Scientific Computing, Information Technology, Uppsala University, P.O. Box 337, S-751 05 Uppsala, Sweden. ken@tdb.uu.se;Department of Information Technology, Uppsala University, Uppsala, Sweden;Computational Aerodynamics Department, Aeronautics Division, The Swedish Defence Research Agency, SE-172 90 Stockholm, Sweden. Department of Information Technology, Uppsala University, Uppsala, Sw ...
Venue:
Journal of Scientific Computing
Year:
2004

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Abstract

Stability for nonlinear convection problems using centered difference schemes require the addition of artificial dissipation. In this paper we present dissipation operators that preserve both stability and accuracy for high order finite difference approximations of initial boundary value problems.