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A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.
2015 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 301, 167-177 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
[Sorgentone, Chiara] Royal Inst Technol KTH, Dept Math, SE-10044 Stockholm, Sweden. [La Cognata, Cristina; Nordstrom, Jan] Linkoping Univ, Dept Math, Div Computat Math, SE-58183 Linkoping, Sweden., 2015. Vol. 301, 167-177 p.
Keyword [en]
Non-linear problems, Summation-by-parts operators, Jacobian, Mimetic schemes, High-order schemes, Stability, Finite difference
National Category
Computer Science Physical Sciences
URN: urn:nbn:se:kth:diva-176324DOI: 10.1016/ 000362379300010ScopusID: 2-s2.0-84940395964OAI: diva2:871900

QC 20151117

Available from: 2015-11-17 Created: 2015-11-03 Last updated: 2015-11-17Bibliographically approved

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