A variational formulation for fluid dynamics with irreversible processes

François Gay-Balmaz, Hiroaki Yoshimura

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    In this paper, we present a variational formulation for heat conducting viscous fluids, which extends the Hamilton principle of continuum mechanics to include irreversible processes. This formulation follows from the general variational description of nonequilibrium thermodynamics introduced in [3, 4] for discrete and continuum systems. It relies on the concept of thermodynamic displacement. The irreversibility is encoded into a nonlinear nonholonomic constraint given by the expression of the entropy production associated to the irreversible processes involved.

    Original languageEnglish
    Title of host publicationGeometric Science of Information - 3rd International Conference, GSI 2017, Proceedings
    PublisherSpringer-Verlag
    Pages401-409
    Number of pages9
    ISBN (Print)9783319684444
    DOIs
    Publication statusPublished - 2017 Jan 1
    Event3rd International Conference on Geometric Science of Information, GSI 2017 - Paris, France
    Duration: 2017 Nov 72017 Nov 9

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume10589 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Other

    Other3rd International Conference on Geometric Science of Information, GSI 2017
    CountryFrance
    CityParis
    Period17/11/717/11/9

    Fingerprint

    Irreversible Processes
    Variational Formulation
    Fluid Dynamics
    Fluid dynamics
    Thermodynamics
    Nonholonomic Constraints
    Non-equilibrium Thermodynamics
    Hamilton's Principle
    Continuum mechanics
    Irreversibility
    Nonlinear Constraints
    Entropy Production
    Continuum Mechanics
    Viscous Fluid
    Continuum
    Entropy
    Heat
    Fluids
    Formulation
    Concepts

    Keywords

    • Heat conduction
    • Nonequilibrium thermodynamics
    • Variational formalism
    • Viscosity

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Computer Science(all)

    Cite this

    Gay-Balmaz, F., & Yoshimura, H. (2017). A variational formulation for fluid dynamics with irreversible processes. In Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings (pp. 401-409). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10589 LNCS). Springer-Verlag. https://doi.org/10.1007/978-3-319-68445-1_47

    A variational formulation for fluid dynamics with irreversible processes. / Gay-Balmaz, François; Yoshimura, Hiroaki.

    Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Springer-Verlag, 2017. p. 401-409 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10589 LNCS).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Gay-Balmaz, F & Yoshimura, H 2017, A variational formulation for fluid dynamics with irreversible processes. in Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10589 LNCS, Springer-Verlag, pp. 401-409, 3rd International Conference on Geometric Science of Information, GSI 2017, Paris, France, 17/11/7. https://doi.org/10.1007/978-3-319-68445-1_47
    Gay-Balmaz F, Yoshimura H. A variational formulation for fluid dynamics with irreversible processes. In Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Springer-Verlag. 2017. p. 401-409. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-68445-1_47
    Gay-Balmaz, François ; Yoshimura, Hiroaki. / A variational formulation for fluid dynamics with irreversible processes. Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Springer-Verlag, 2017. pp. 401-409 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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