Summation-by-Parts Operators with Minimal Dispersion Error for Coarse Grid Flow Calculations
2016 (English)Report (Other academic)
We present a procedure for constructing Summation-by-Parts operators with minimal dispersion error both near and far from numerical interfaces. Examples of such operators are constructed and compared with purely periodic stencils as well as non-optimised Summation-by-Parts operators of higher order. Experiments show that the optimised operators are superior for wave propagation and turbulent flows involving large wavenumbers, long solution times and large ranges of resolution scales.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2016. , 34 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2016:7
Summation-by-Parts; Dispersion relation; Finite differences; Wave propagation
Computational Mathematics Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-129447OAI: oai:DiVA.org:liu-129447DiVA: diva2:939543