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

Yukihito Suzuki, Masashi Ohnawa

研究成果: Article査読

13 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)690-708
ページ数19
ジャーナルJournal of Computational and Applied Mathematics
296
DOI
出版ステータスPublished - 2016 4 1

ASJC Scopus subject areas

  • 計算数学
  • 応用数学

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