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

Chiara Sorgentone, Cristina La Cognata, Jan Nordström

Research output: Contribution to journalArticlepeer-review

12 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 languageEnglish
Pages (from-to)167-177
Number of pages11
JournalJournal of Computational Physics
Volume301
DOIs
Publication statusPublished - 15 Nov 2015
Externally publishedYes

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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