Finite volume methods, unstructured meshes and strict stability for hyperbolic problems

Authors:
Jan Nordström;Karl Forsberg;Carl Adamsson;Peter Eliasson
Affiliations:
Computational Aerodynamics Department, Aerodynamics Division (FFA), The Swedish Defense Research Agency (FOI), Stockholm, Sweden and Department of Scientific Computing, Information Technology, Upp ...;Computational Aerodynamics Department, Aerodynamics Division (FFA), The Swedish Defense Research Agency (FOI), Stockholm, Sweden;Department of Scientific Computing, Information Technology, Uppsala University, Uppsala, Sweden;Computational Aerodynamics Department, Aerodynamics Division (FFA), The Swedish Defense Research Agency (FOI), Stockholm, Sweden
Venue:
Applied Numerical Mathematics
Year:
2003

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Abstract

The unstructured node centered finite volume method is analyzed and it is shown that it can be interpreted in the framework of summation by parts operators. It is also shown that introducing boundary conditions weakly produces strictly stable formulations. Numerical experiments corroborate the analysis.