Steady-state computations using summation-by-parts operators

Magnus Svärd; Ken Mattsson; Jan Nordström

doi:10.1007/s10915-004-4788-2

Steady-state computations using summation-by-parts operators

Magnus Svärd, Ken Mattsson, Jan Nordström

Research output: Contribution to journal › Article › peer-review

47 Citations (Scopus)

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 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 language	English
Pages (from-to)	647-663
Number of pages	17
Journal	Journal of Scientific Computing
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/s10915-004-4788-2
Publication status	Published - Jul 2005
Externally published	Yes

Keywords

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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10.1007/s10915-004-4788-2

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AB - 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.

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Steady-state computations using summation-by-parts operators

Abstract

Keywords

ASJC Scopus subject areas

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