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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:296

Article

Suzuki, Yukihito¹  Ohnawa, Masashi² 

[1] Waseda Univ, Fac Sci & Engn, Sch Fundamental Sci & Engn, Dept Math,Shinjuku Ku, Tokyo 1698555, Japan

[2] Tokyo Univ Marine Sci & Technol, Fac Marine Sci, Dept Ocean Sci, Minato Ku, Tokyo 1088477, Japan

关键词: Discrete variational derivative method;    Vorticity equations;    GENERIC formulation;   

DOI  :  10.1016/j.cam.2015.10.018

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free