Summation-by-Parts Operators with Minimal Dispersion Error for Accurate and Efficient Flow Calculations

Viktor Linders, Marco Kupiainen, Steven H. Frankel, Yann Delorme, Jan Nordstrom
2016 54th AIAA Aerospace Sciences Meeting   unpublished
We develop summation-by-parts operators with minimal dispersion errors both near and far from boundaries and interfaces. Such operators are superior to classical stencils for problems involving high frequency waves or multi-frequency solutions over long time intervals with a relatively coarse spatial mesh. This is demonstrated by solving the Taylor-Green vortex flow with optimised and classical operators both in a purely periodic setting as well as in the presence of numerical interfaces.
doi:10.2514/6.2016-1329 fatcat:hribssvydjgs5eoinfcokssh3m