Legendre integrators, post-processing and quasiequilibrium

Описание

Тип публикации: статья из журнала (материалы конференций, опубликованные в журналах)

Конференция: International Workshop on Nonequilibrium Thermodynamics and Complex Fluids; Princeton, NJ; Princeton, NJ

Год издания: 2004

Идентификатор DOI: 10.1016/j.jnnfm.2003.12.005

Ключевые слова: nonequilibrium systems; mathematical modeling; entropy; thermodynamic projector; post-processing; Fokker-Planck equation, Entropy, Fokker-Planck equation, Mathematical modeling, Nonequilibrium systems, Post-processing, Thermodynamic projector, Approximation theory, Linear equations, Nonlinear equations, Reaction kinetics, Thermodynamics, Thermodynamic projectors, Fluid mechanics, fluid dynamics, mathematical analysis

Аннотация: A toolbox for the development and reduction of the dynamical models of nonequilibrium systems is presented. The main components of this toolbox are: Legendre integrators, dynamical post-processing, and the thermodynamic projector. The thermodynamic projector is the tool to transform almost any anzatz to a thermodynamically consisteПоказать полностьюnt model. The post-processing is the cheapest way to improve the solution obtained by the Legendre integrators. Legendre integrators give the opportunity to solve linear equations instead of nonlinear ones for quasiequilibrium ("maximum entropy", MaxEnt) approximations. The essentially new element of this toolbox, the method of thermodynamic projector, is demonstrated on application to the FENE-P model of polymer kinetic theory. The multi-peak model of polymer dynamics is developed. (C) 2004 Elsevier B.V. All rights reserved.

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Издание

Журнал: JOURNAL OF NON-NEWTONIAN FLUID MECHANICS

Выпуск журнала: Vol. 120, Is. 1-3

Номера страниц: 149-167

ISSN журнала: 03770257

Место издания: AMSTERDAM

Издатель: ELSEVIER SCIENCE BV

Авторы

  • Gorban A.N. (KRASNOYARSK STATE UNIV)
  • Gorban P.A. (KRASNOYARSK STATE UNIV)
  • Karlin I.V. (KRASNOYARSK STATE UNIV)

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