@TechReport{ it:2003-018, author = {Magnus Sv{\"a}rd and Ken Mattsson and Jan Nordstr{\"o}m}, title = {Steady State Computations Using Summation-by-Parts Operators}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Scientific Computing}, year = {2003}, number = {2003-018}, month = mar, 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 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. } }