Steady-state computations using summation-by-parts operators

Magnus Svärd, Ken Mattsson, Jan Nordström

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)647-663
Number of pages17
JournalJournal of Scientific Computing
Issue number1
Publication statusPublished - Jul 2005
Externally publishedYes


  • Convergence to steady state
  • High order finite differences
  • Stability
  • Summation-by-parts operators

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • General Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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