SIMPLE WAVES AND SHOCKS IN THE SHALLOW 2-LAYER FLUID

被引:3
|
作者
MULLER, D
机构
[1] Institute of Geophysics and Planetary Physics, University of California, Los Angeles
来源
PHYSICAL REVIEW A | 1990年 / 41卷 / 08期
关键词
D O I
10.1103/PhysRevA.41.4298
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The two-layer fluid is considered in the shallow-water approximation. Vertical integration of the spatially three-dimensional, scaled Euler equations yields a spatially two-dimensional, Galilei-invariant system. Diagnostic relations appear formally as the thermodynamics of a two-component, nonideal gas. Certain aspects of the theory are reminiscent of the hydrodynamics of superfluid helium. Nonlinear wave dynamics can be studied analytically: simple waves and shocks are discussed in detail. © 1990 The American Physical Society.
引用
收藏
页码:4298 / 4305
页数:8
相关论文
共 50 条
  • [31] THEORETICAL MODELING OF INTERNAL WAVES IN A 2-LAYER OCEAN
    KHABAKHPASHEV, GA
    [J]. IZVESTIYA AKADEMII NAUK SSSR FIZIKA ATMOSFERY I OKEANA, 1990, 26 (01): : 72 - 82
  • [32] INTERNAL LEE WAVES IN TURBULENT 2-LAYER FLOW
    KRANENBURG, C
    PIETRZAK, JD
    [J]. JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1989, 115 (10): : 1352 - 1370
  • [33] A 2-LAYER STACKING PROCEDURE TO ENHANCE CONVERTED WAVES
    KENNETT, BLN
    [J]. GEOPHYSICS, 1993, 58 (07) : 997 - 1001
  • [34] PROPAGATION OF HARMONIC-WAVES IN A 2-LAYER STRIP
    KIIKO, IA
    ILYASOV, MK
    [J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1976, (05): : 103 - 106
  • [35] Inertia-gravity waves generated by near balanced flow in 2-layer shallow water turbulence on the β-plane
    Wirth, A.
    [J]. NONLINEAR PROCESSES IN GEOPHYSICS, 2013, 20 (01) : 25 - 34
  • [36] SIMPLE 2-LAYER MODEL FOR ULTRATHIN SUPERCONDUCTING FILMS
    GRANQVIST, CG
    [J]. FERROELECTRICS, 1977, 16 (1-4) : 189 - 190
  • [37] THE EVOLUTION OF AN ISOLATED TURBULENT REGION IN A 2-LAYER FLUID
    FLOR, JB
    FERNANDO, HJS
    VANHEIJST, GJF
    [J]. PHYSICS OF FLUIDS, 1994, 6 (01) : 287 - 296
  • [38] STABILITY OF A 2-LAYER FLUID MODEL TO NONGEOSTROPIC DISTURBANCES
    BLUMEN, W
    [J]. TELLUS, 1973, 25 (01): : 12 - 19
  • [39] ON THE PYCNOCLINE DEFORMATION AT TOPOGRAPHIC CYCLOGENESIS IN 2-LAYER FLUID
    TIMONOV, MB
    SHELKOVNIKOV, NK
    BELOBROV, AA
    [J]. IZVESTIYA AKADEMII NAUK SSSR FIZIKA ATMOSFERY I OKEANA, 1987, 23 (06): : 635 - 641
  • [40] MODEL OF 2-DIMENSIONAL CONVECTION IN 2-LAYER FLUID
    ALEKSEEV, VV
    ALEKSAND.AA
    [J]. IZVESTIYA AKADEMII NAUK SSSR FIZIKA ATMOSFERY I OKEANA, 1973, 9 (08): : 837 - 850