Summation-by-Parts Operators with Minimal Dispersion Error for Coarse Grid Flow Calculations

• 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 a higher order non-optimised Summation-by-Parts operator. 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.

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

Summation-by-Parts

Dispersion relation

Finite differences

Wave Propagation

Publication and Content Type

ref (subject category)

art (subject category)