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Steady-state computations using summation-by-parts operators
2005 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 24, no 1, 647-663 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2005. Vol. 24, no 1, 647-663 p.
Keyword [en]
high order finite differences, summation-by-parts operators, convergence to steady state, stability, finite-difference methods, navier-stokes equations, accuracy, boundary
URN: urn:nbn:se:kth:diva-14946ISI: 000230810300004OAI: diva2:332987
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Svärd, Magnus
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