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Steady-State Computations Using Summation-by-Parts Operators

2005; Springer Science+Business Media; Volume: 24; Issue: 1 Linguagem: Inglês

10.1007/s10915-004-4788-2

1573-7691

Magnus Svärd, Ken Mattsson, Jan Nordström,

Electromagnetic Simulation and Numerical Methods

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.