Uppsala University Department of Information Technology

Technical Report 2003-018

Steady State Computations Using Summation-by-Parts Operators

Magnus Svärd, Ken Mattsson, and Jan Nordström

March 2003

This paper concerns energy stability on curvilinear grids and its impact on steady state calulations. We have done computations for the Euler equations using both high order summation-by-parts block and diagonal norm schemes. 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. The numerical experiments also reveal the importance of high quality grids when high order finite difference methods are used.

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