Steady-State Computations Using Summation-by-Parts Operators

Authors:
Magnus Svärd;Ken Mattsson;Jan Nordström
Affiliations:
Department of Information Technology, Uppsala University, Uppsala, Sweden;Department of Information Technology, Uppsala University, Uppsala, Sweden;Division of Systems Technology, Department of Computational Physics, Department of Information Technology, The Swedish Defence Research Agency, Uppsala University, Uppsala, Sweden SE-164 90
Venue:
Journal of Scientific Computing
Year:
2005

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Abstract

This paper concerns energy stability on curvilinear grids and its impact on steady-state calulations. We have done computations for the Euler equations using fifth order summation-by-parts block and diagonal norm schemes. By imposing the boundary conditions weakly we obtain a fifth order energy-stable scheme. The calculations indicate the significance of energy stability in order to obtain convergence to steady state. Furthermore, the difference operators are improved such that faster convergence to steady state are obtained.