ON THE HAMILTONIAN-FORMULATION OF THE QUASI-HYDROSTATIC EQUATIONS

被引：0
|
作者：
ROULSTONE, I
BRICE, SJ
机构：
来源：
QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY | 1995年 / 121卷 / 524期
关键词：
CONSERVATION LAWS; HAMILTONIAN FORMULATION; HYDROSTATIC; VARIATIONAL METHODS;
D O I：
10.1256/smsqj.52409
中图分类号：
P4 [大气科学（气象学）];
学科分类号：
0706 ; 070601 ;
摘要：
A variational approach to the Euler-Lagrange equations for the quasi-hydrostatic model is presented together with an explicit Hamiltonian (Poisson bracket) formulation. The bracket acts on functionals of the zonal and meridional angular momentum. Features of the relationships between the Hamiltonian formulations of the equations for an ideal fluid, the hydrostatic primitive equations and the quasi-hydrostatic equations are discussed.
引用
收藏
页码：927 / 936
页数：10
相关论文
共 50 条
  • [1] Unification of the Anelastic and Quasi-Hydrostatic Systems of Equations
    Arakawa, Akio
    Konor, Celal S.
    [J]. MONTHLY WEATHER REVIEW, 2009, 137 (02) : 710 - 726
  • [2] HAMILTONIAN-FORMULATION OF THE BAROCLINIC QUASIGEOSTROPHIC FLUID EQUATIONS
    HOLM, DD
    [J]. PHYSICS OF FLUIDS, 1986, 29 (01) : 7 - 8
  • [3] A HAMILTONIAN-FORMULATION FOR COUPLED-WAVE EQUATIONS
    HIRONO, T
    YOSHIKUNI, Y
    [J]. IEEE JOURNAL OF QUANTUM ELECTRONICS, 1994, 30 (08) : 1751 - 1755
  • [4] THE QUASI-HYDROSTATIC APPROXIMATION
    ORLANSKI, I
    [J]. JOURNAL OF THE ATMOSPHERIC SCIENCES, 1981, 38 (03) : 572 - 582
  • [5] HAMILTONIAN-FORMULATION OF MAGNETIC-FIELD LINE EQUATIONS
    JANAKI, MS
    GHOSH, G
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (12): : 3679 - 3685
  • [6] HAMILTONIAN-FORMULATION OF THE SUPERMEMBRANE
    BERGSHOEFF, E
    SEZGIN, E
    TANII, Y
    [J]. NUCLEAR PHYSICS B, 1988, 298 (01) : 187 - 204
  • [7] Quasi-hydrostatic Primitive Equations for Ocean Global Circulation Models
    Carine LUCAS
    Madalina PETCU
    Antoine ROUSSEAU
    [J]. Chinese Annals of Mathematics,Series B, 2010, 31 (06) : 939 - 952
  • [8] THE HAMILTONIAN-FORMULATION OF OPTICS
    SEKIGUCHI, T
    WOLF, KB
    [J]. AMERICAN JOURNAL OF PHYSICS, 1987, 55 (09) : 830 - 835
  • [9] Quasi-hydrostatic primitive equations for ocean global circulation models
    Lucas, Carine
    Petcu, Madalina
    Rousseau, Antoine
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2010, 31 (06) : 939 - 952
  • [10] Quasi-hydrostatic primitive equations for ocean global circulation models
    Carine Lucas
    Madalina Petcu
    Antoine Rousseau
    [J]. Chinese Annals of Mathematics, Series B, 2010, 31 : 939 - 952
12345