Summation-by-Parts operators with minimal dispersion error for coarse grid flow calculations

Viktor Linders; Marco Kupiainen; Jan Nordström

doi:10.1016/j.jcp.2017.03.039

Summation-by-Parts operators with minimal dispersion error for coarse grid flow calculations

Viktor Linders, Marco Kupiainen, Jan Nordström

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

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	160-176
Number of pages	17
Journal	Journal of Computational Physics
Volume	340
DOIs	https://doi.org/10.1016/j.jcp.2017.03.039
Publication status	Published - 1 Jul 2017
Externally published	Yes

Keywords

Dispersion relation
Finite differences
Summation-by-Parts
Wave propagation

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2017.03.039

Cite this

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title = "Summation-by-Parts operators with minimal dispersion error for coarse grid flow calculations",

abstract = "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.",

keywords = "Dispersion relation, Finite differences, Summation-by-Parts, Wave propagation",

author = "Viktor Linders and Marco Kupiainen and Jan Nordstr{\"o}m",

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AU - Linders, Viktor

AU - Kupiainen, Marco

AU - Nordström, Jan

PY - 2017/7/1

Y1 - 2017/7/1

N2 - 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.

AB - 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.

KW - Dispersion relation

KW - Finite differences

KW - Summation-by-Parts

KW - Wave propagation

UR - https://www.scopus.com/pages/publications/85016419853

U2 - 10.1016/j.jcp.2017.03.039

DO - 10.1016/j.jcp.2017.03.039

M3 - Article

AN - SCOPUS:85016419853

SN - 0021-9991

VL - 340

SP - 160

EP - 176

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Summation-by-Parts operators with minimal dispersion error for coarse grid flow calculations

Abstract

Keywords

ASJC Scopus subject areas

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