Lagrange hydrodynamics as extended Euler hydrodynamics: Hamiltonian and GENERIC structures

被引：25
|
作者：
Grmela, M [1 ]
机构：
[1] Ecole Polytech, Montreal, PQ H3C 3A7, Canada
来源：
PHYSICS LETTERS A | 2002年 / 296卷 / 2-3期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1016/S0375-9601(02)00190-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The extended Euler hydrodynamics proposed in Phys. Rev. Lett. 84 (2000) 3228 as hydrodynamics with correct solid limit is interpreted as a reconstruction of Lagrange hydrodynamics in the Eulerian setting. The geometrical formulation of the classical Euler and the classical Navier-Stokes-Fourier hydrodynamics is shown to be applicable also to the extended theory. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：97 / 104
页数：8
相关论文
共 50 条
  • [1] Numerical modelling of the hydrodynamics in a bubble column using the Euler-Lagrange approach
    Laín, S
    Bröder, D
    Sommerfeld, M
    INTERNATIONAL SYMPOSIUM ON MULTI-PHASE FLOW AND TRANSPORT PHENOMENA, 2001, : 49 - 56
  • [2] Modelling hydrodynamics and turbulence in a bubble column using the Euler-Lagrange procedure
    Laín, S
    Bröder, D
    Sommerfeld, M
    Göz, MF
    INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2002, 28 (08) : 1381 - 1407
  • [3] Hamiltonian particle hydrodynamics
    Fahrenthold, EP
    Koo, JC
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 146 (1-2) : 43 - 52
  • [4] Hamiltonian hydrodynamics of eccentric discs
    Ogilvie, Gordon I.
    Lynch, Elliot M.
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2019, 483 (04) : 4453 - 4469
  • [5] HYDRODYNAMICS OF HAMILTONIAN SYSTEMS.
    Kozlov, V.V.
    Moscow University mechanics bulletin, 1983, 38 (06): : 9 - 23
  • [6] A NEW PROOF OF LAGRANGE THEOREM IN HYDRODYNAMICS
    MASUDA, H
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1953, 8 (03) : 390 - 393
  • [7] Resurgence in extended hydrodynamics
    Aniceto, Ines
    Spalinski, Michal
    PHYSICAL REVIEW D, 2016, 93 (08)
  • [8] EXTENDED EQUATIONS OF HYDRODYNAMICS
    SLEZKIN, NA
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1975, (03): : 97 - 105
  • [9] Stochastic Lagrange Approach to Viscous Hydrodynamics
    Gliklikh Y.E.
    Journal of Mathematical Sciences, 2024, 278 (1) : 82 - 90
  • [10] COMPARISON OF COUPLED EULER-LAGRANGE AND SMOOTHED PARTICLE HYDRODYNAMICS IN FLUID-STRUCTURE INTERACTION
    Zehetner, Christian
    Schoergenhumer, Markus
    Hammelmueller, Franz
    Humer, Alexander
    Coupled Problems in Science and Engineering VI, 2015, : 1080 - 1088
12345