A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator

Chiara Sorgentone; Cristina La Cognata; Jan Nordström

doi:10.1016/j.jcp.2015.08.028

A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator

Chiara Sorgentone, Cristina La Cognata, Jan Nordström

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

14 Citations (Scopus)

Abstract

A new high order Arakawa-like method for the incompressible vorticity equation in two-dimensions has been developed. Mimetic properties such as skew-symmetry, energy and enstrophy conservations for the semi-discretization are proved for periodic problems using arbitrary high order summation-by-parts operators. Numerical simulations corroborate the theoretical findings.

Original language	English
Pages (from-to)	167-177
Number of pages	11
Journal	Journal of Computational Physics
Volume	301
DOIs	https://doi.org/10.1016/j.jcp.2015.08.028
Publication status	Published - 15 Nov 2015
Externally published	Yes

Keywords

Finite difference
High-order schemes
Jacobian
Mimetic schemes
Non-linear problems
Stability
Summation-by-parts operators

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.2015.08.028

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title = "A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator",

abstract = "A new high order Arakawa-like method for the incompressible vorticity equation in two-dimensions has been developed. Mimetic properties such as skew-symmetry, energy and enstrophy conservations for the semi-discretization are proved for periodic problems using arbitrary high order summation-by-parts operators. Numerical simulations corroborate the theoretical findings.",

keywords = "Finite difference, High-order schemes, Jacobian, Mimetic schemes, Non-linear problems, Stability, Summation-by-parts operators",

author = "Chiara Sorgentone and \{La Cognata\}, Cristina and Jan Nordstr{\"o}m",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

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day = "15",

doi = "10.1016/j.jcp.2015.08.028",

language = "English",

volume = "301",

pages = "167--177",

journal = "Journal of Computational Physics",

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T1 - A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator

AU - Sorgentone, Chiara

AU - La Cognata, Cristina

AU - Nordström, Jan

PY - 2015/11/15

Y1 - 2015/11/15

N2 - A new high order Arakawa-like method for the incompressible vorticity equation in two-dimensions has been developed. Mimetic properties such as skew-symmetry, energy and enstrophy conservations for the semi-discretization are proved for periodic problems using arbitrary high order summation-by-parts operators. Numerical simulations corroborate the theoretical findings.

AB - A new high order Arakawa-like method for the incompressible vorticity equation in two-dimensions has been developed. Mimetic properties such as skew-symmetry, energy and enstrophy conservations for the semi-discretization are proved for periodic problems using arbitrary high order summation-by-parts operators. Numerical simulations corroborate the theoretical findings.

KW - Finite difference

KW - High-order schemes

KW - Jacobian

KW - Mimetic schemes

KW - Non-linear problems

KW - Stability

KW - Summation-by-parts operators

UR - https://www.scopus.com/pages/publications/84940395964

U2 - 10.1016/j.jcp.2015.08.028

DO - 10.1016/j.jcp.2015.08.028

M3 - Article

AN - SCOPUS:84940395964

SN - 0021-9991

VL - 301

SP - 167

EP - 177

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator

Abstract

Keywords

ASJC Scopus subject areas

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