GENERIC formalism and discrete variational derivative method for the two-dimensional vorticity equation

Yukihito Suzuki, Masashi Ohnawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The vorticity equation for two-dimensional incompressible viscous flows is formulated within the GENERIC formalism for non-equilibrium thermodynamics. The laws of conservation of energy and increasing entropy derived from the GENERIC formulation are properly inherited by the finite difference equations obtained by invoking the discrete variational derivative method. The law of increasing entropy corresponds to the dissipation of enstrophy for the vorticity equation. Some numerical experiments have been done to examine the usefulness of the proposed method.

Original languageEnglish
Pages (from-to)690-708
Number of pages19
JournalJournal of Computational and Applied Mathematics
Volume296
DOIs
Publication statusPublished - 2016 Apr 1

Fingerprint

Vorticity
Entropy
Derivatives
Derivative
Finite Difference Equation
Non-equilibrium Thermodynamics
Incompressible Viscous Flow
Difference equations
Viscous flow
Conservation
Dissipation
Numerical Experiment
Thermodynamics
Formulation
Energy
Experiments

Keywords

  • Discrete variational derivative method
  • GENERIC formulation
  • Vorticity equations

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this

GENERIC formalism and discrete variational derivative method for the two-dimensional vorticity equation. / Suzuki, Yukihito; Ohnawa, Masashi.

In: Journal of Computational and Applied Mathematics, Vol. 296, 01.04.2016, p. 690-708.

Research output: Contribution to journalArticle

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