A variational formulation for fluid dynamics with irreversible processes

François Gay-Balmaz; Hiroaki Yoshimura

doi:10.1007/978-3-319-68445-1_47

A variational formulation for fluid dynamics with irreversible processes

François Gay-Balmaz
, Hiroaki Yoshimura

Waseda University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings
Editors	Frank Nielsen, Frederic Barbaresco, Frank Nielsen
Publisher	Springer Verlag
Pages	401-409
Number of pages	9
ISBN (Print)	9783319684444
DOIs	https://doi.org/10.1007/978-3-319-68445-1_47
Publication status	Published - 1 Jan 2017
Event	3rd International Conference on Geometric Science of Information, GSI 2017 - Paris, France Duration: 7 Nov 2017 → 9 Nov 2017

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10589 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	3rd International Conference on Geometric Science of Information, GSI 2017
Country/Territory	France
City	Paris
Period	7/11/17 → 9/11/17

Keywords

Heat conduction
Nonequilibrium thermodynamics
Variational formalism
Viscosity

Access to Document

10.1007/978-3-319-68445-1_47

Cite this

Gay-Balmaz, F., & Yoshimura, H. (2017). A variational formulation for fluid dynamics with irreversible processes. In F. Nielsen, F. Barbaresco, & F. Nielsen (Eds.), 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

Gay-Balmaz, François ; Yoshimura, Hiroaki. / A variational formulation for fluid dynamics with irreversible processes. Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. editor / Frank Nielsen ; Frederic Barbaresco ; Frank Nielsen. Springer Verlag, 2017. pp. 401-409 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{b642f4dd03de4d7493dab98ac789d12b,

title = "A variational formulation for fluid dynamics with irreversible processes",

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.",

keywords = "Heat conduction, Nonequilibrium thermodynamics, Variational formalism, Viscosity",

author = "Fran{\c c}ois Gay-Balmaz and Hiroaki Yoshimura",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; 3rd International Conference on Geometric Science of Information, GSI 2017 ; Conference date: 07-11-2017 Through 09-11-2017",

year = "2017",

month = jan,

day = "1",

doi = "10.1007/978-3-319-68445-1\_47",

language = "English",

isbn = "9783319684444",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "401--409",

editor = "Frank Nielsen and Frederic Barbaresco and Frank Nielsen",

booktitle = "Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings",

}

Gay-Balmaz, F & Yoshimura, H 2017, A variational formulation for fluid dynamics with irreversible processes. in F Nielsen, F Barbaresco & F Nielsen (eds), 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, 7/11/17. 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. ed. / Frank Nielsen; Frederic Barbaresco; Frank Nielsen. 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 proceeding › Conference contribution › peer-review

TY - GEN

T1 - A variational formulation for fluid dynamics with irreversible processes

AU - Gay-Balmaz, François

AU - Yoshimura, Hiroaki

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Heat conduction

KW - Nonequilibrium thermodynamics

KW - Variational formalism

KW - Viscosity

U2 - 10.1007/978-3-319-68445-1_47

DO - 10.1007/978-3-319-68445-1_47

M3 - Conference contribution

AN - SCOPUS:85033718710

SN - 9783319684444

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 401

EP - 409

BT - Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings

A2 - Nielsen, Frank

A2 - Barbaresco, Frederic

A2 - Nielsen, Frank

PB - Springer Verlag

T2 - 3rd International Conference on Geometric Science of Information, GSI 2017

Y2 - 7 November 2017 through 9 November 2017

ER -

Gay-Balmaz F, Yoshimura H. A variational formulation for fluid dynamics with irreversible processes. In Nielsen F, Barbaresco F, Nielsen F, editors, 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)). doi: 10.1007/978-3-319-68445-1_47

A variational formulation for fluid dynamics with irreversible processes

Abstract

Publication series

Conference

Keywords

Access to Document

Fingerprint

Cite this