메뉴 건너뛰기




Volumn 8, Issue 3-4, 2003, Pages 415-442

Singularity formation during relaxation of jets and fronts toward the state of geostrophic equilibrium

Author keywords

Fronts; Geostrophic adjustment; Inertia gravity waves; Potential vorticity; Shocks; Singularity formation

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; OSCILLATIONS; RELAXATION PROCESSES;

EID: 0041743760     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(03)00050-9     Document Type: Article
Times cited : (16)

References (35)
  • 1
    • 0029535007 scopus 로고
    • Geostrophic adjustment: Frontogenesis and energy conversion
    • Blumen W. Wu R. Geostrophic adjustment: frontogenesis and energy conversion J. Phys. Oceanogr. 25 1995 428-438
    • (1995) J. Phys. Oceanogr. , vol.25 , pp. 428-438
    • Blumen, W.1    Wu, R.2
  • 3
    • 0020872374 scopus 로고
    • Solutions to a model of a front forced by deformation
    • Cullen M.J.P. Solutions to a model of a front forced by deformation Q. J. R. Meteorol. Soc. 109 1983 565-573
    • (1983) Q. J. R. Meteorol. Soc. , vol.109 , pp. 565-573
    • Cullen, M.J.P.1
  • 4
    • 0026112879 scopus 로고
    • Generalized Lagrangian solutions for atmospheric and oceanic fows
    • Cullen M.J.P. Norbury J. Purser R.J. Generalized Lagrangian solutions for atmospheric and oceanic fows SIAM J. Appl. Math. 51 1 1991 20-31
    • (1991) SIAM J. Appl. Math. , vol.51 , Issue.1 , pp. 20-31
    • Cullen, M.J.P.1    Norbury, J.2    Purser, R.J.3
  • 5
    • 0021641025 scopus 로고
    • An extended Lagrangian theory of semi-geostrophic frontogenesis
    • Cullen M.J.P. Purser R.J. An extended Lagrangian theory of semi-geostrophic frontogenesis J. Atmos. Sci. 41 1984 1477-149
    • (1984) J. Atmos. Sci. , vol.41 , pp. 1477-1497
    • Cullen, M.J.P.1    Purser, R.J.2
  • 6
    • 0024799742 scopus 로고
    • Properties of the Lagrangian semi-geostrophic equations
    • Cullen M.J.P. Purser R.J. Properties of the Lagrangian semi-geostrophic equations J. Atmos. Sci. 46 1989 2684-2697
    • (1989) J. Atmos. Sci. , vol.46 , pp. 2684-2697
    • Cullen, M.J.P.1    Purser, R.J.2
  • 8
    • 0034087979 scopus 로고    scopus 로고
    • Balance and the slow quasi-manifold: Some explicit results
    • Ford R. McIntyre M.E. Norton W.A. Balance and the slow quasi-manifold: some explicit results J. Atmos. Sci. 57 2000 1236-1254
    • (2000) J. Atmos. Sci. , vol.57 , pp. 1236-1254
    • Ford, R.1    McIntyre, M.E.2    Norton, W.A.3
  • 12
    • 0002101294 scopus 로고
    • Atmospheric frontogenesis models: Mathematical formulation and solution
    • Hoskins B.J. Bretherton F.P. Atmospheric frontogenesis models: mathematical formulation and solution J. Atmos. Sci. 29 1972 11-37
    • (1972) J. Atmos. Sci. , vol.29 , pp. 11-37
    • Hoskins, B.J.1    Bretherton, F.P.2
  • 14
    • 0032463827 scopus 로고    scopus 로고
    • Forming of frontal zones during geostrophic adjustment in a continuously stratified fluid
    • Kalashnik M.V. Forming of frontal zones during geostrophic adjustment in a continuously stratified fluid Izv. Atmos. Ocean. Phys. 34 6 1998 785-792
    • (1998) Izv. Atmos. Ocean. Phys. , vol.34 , Issue.6 , pp. 785-792
    • Kalashnik, M.V.1
  • 15
    • 0033924306 scopus 로고    scopus 로고
    • Geostrophic adjustment and frontogenesis in a continuously stratified fluid
    • Kalashnik M.V. Geostrophic adjustment and frontogenesis in a continuously stratified fluid Izv. Atmos. Ocean. Phys. 36 3 2000 386-395
    • (2000) Izv. Atmos. Ocean. Phys. , vol.36 , Issue.3 , pp. 386-395
    • Kalashnik, M.V.1
  • 16
    • 0037575359 scopus 로고    scopus 로고
    • Wave-vortex interaction in rotating shallow water. Part 1. One space dimension
    • Kuo A.C. Polvani L.M. Wave-vortex interaction in rotating shallow water. Part 1. One space dimension J. Fluid Mech. 394 1999 1-27
    • (1999) J. Fluid Mech. , vol.394 , pp. 1-27
    • Kuo, A.C.1    Polvani, L.M.2
  • 17
    • 0034121221 scopus 로고    scopus 로고
    • Nonlinear geostrophic adjustment, cyclone/anticyclone asymmetry, and potential vorticity rearrangement
    • Kuo A.C. Polvani L.M. Nonlinear geostrophic adjustment, cyclone/anticyclone asymmetry, and potential vorticity rearrangement Phys. Fluids 12 5 2000 1087-1100
    • (2000) Phys. Fluids , vol.12 , Issue.5 , pp. 1087-1100
    • Kuo, A.C.1    Polvani, L.M.2
  • 20
    • 0001315315 scopus 로고    scopus 로고
    • Balancing source terms and flux gradients in high resolution Godunov methods: The quasi-steady wave propagation algorithm
    • Leveque R.J. Balancing source terms and flux gradients in high resolution Godunov methods: the quasi-steady wave propagation algorithm JCP 146 1998 346-365
    • (1998) JCP , vol.146 , pp. 346-365
    • Leveque, R.J.1
  • 21
    • 0017889140 scopus 로고
    • Cambridge: Cambridge University Press
    • Lighthill J.M. Waves in fluids 1978 Cambridge University Press Cambridge
    • (1978) Waves in Fluids
    • Lighthill, J.M.1
  • 24
    • 0027790505 scopus 로고
    • The dynamics of long frontal waves in the shallow-water equations
    • Nycander J. Dritschel D.G. Sutyrin G.G. The dynamics of long frontal waves in the shallow-water equations Phys. Fluids 5 5 1986 1089-1091
    • (1986) Phys. Fluids , vol.5 , Issue.5 , pp. 1089-1091
    • Nycander, J.1    Dritschel, D.G.2    Sutyrin, G.G.3
  • 25
    • 0000264864 scopus 로고
    • Geostrophic adjustment: A mechanism for frontogenesis
    • Ou H.W. Geostrophic adjustment: a mechanism for frontogenesis J. Atmos. Sci. 14 1984 994-1000
    • (1984) J. Atmos. Sci. , vol.14 , pp. 994-1000
    • Ou, H.W.1
  • 26
    • 0035950218 scopus 로고    scopus 로고
    • Nonlinear theory of geostrophic adjustment. Part 1. Rotating shallow-water model
    • Reznik G.M. Zeitlin V. Ben Jelloul M. Nonlinear theory of geostrophic adjustment. Part 1. Rotating shallow-water model J. Fluid Mech. 445 2001 93-120
    • (2001) J. Fluid Mech. , vol.445 , pp. 93-120
    • Reznik, G.M.1    Zeitlin, V.2    Ben Jelloul, M.3
  • 27
    • 0001112051 scopus 로고
    • On the mutual adjustment of pressure and velocity distributions in certain simple current systems II
    • Rossby C.G. On the mutual adjustment of pressure and velocity distributions in certain simple current systems II J. Mar. Res. 1 1938 239-263
    • (1938) J. Mar. Res. , vol.1 , pp. 239-263
    • Rossby, C.G.1
  • 28
    • 0029412437 scopus 로고
    • Vorticity generation in the shallow-water equations as applied to hydraulic jumps
    • Rotunno R. Smolarkiewicz P.K. Vorticity generation in the shallow-water equations as applied to hydraulic jumps J. Atmos. Sci. 52 3 1995 320-330
    • (1995) J. Atmos. Sci. , vol.52 , Issue.3 , pp. 320-330
    • Rotunno, R.1    Smolarkiewicz, P.K.2
  • 29
    • 0037683306 scopus 로고
    • Parcel stability and its relation to semi-geostrophic theory
    • Shutts G.J. Cullen M.J.P. Parcel stability and its relation to semi-geostrophic theory J. Atmos. Sci. 44 1987 1318-1330
    • (1987) J. Atmos. Sci. , vol.44 , pp. 1318-1330
    • Shutts, G.J.1    Cullen, M.J.P.2
  • 30
    • 0027789662 scopus 로고
    • Shallow-water flow past an isolated topography. Part 1: Vorticity production and wake formation
    • Smith R.B. Schar C. Shallow-water flow past an isolated topography. Part 1: vorticity production and wake formation JAS 50 10 1993 1373-1400
    • (1993) JAS , vol.50 , Issue.10 , pp. 1373-1400
    • Smith, R.B.1    Schar, C.2
  • 31
    • 0013123314 scopus 로고    scopus 로고
    • Oblique boundary value problems for equations of Monge-Ampère type
    • Urbas J. Oblique boundary value problems for equations of Monge-Ampère type Calc. Var. 7 1998 19-39
    • (1998) Calc. Var. , vol.7 , pp. 19-39
    • Urbas, J.1
  • 33
    • 0029535426 scopus 로고
    • Geostrophic adjustment of a zero potential vorticity flow initiated by a mass imbalance
    • Wu R. Blumen W. Geostrophic adjustment of a zero potential vorticity flow initiated by a mass imbalance J. Phys. Oceanogr. 25 1995 439-445
    • (1995) J. Phys. Oceanogr. , vol.25 , pp. 439-445
    • Wu, R.1    Blumen, W.2
  • 34
    • 0037900069 scopus 로고    scopus 로고
    • 1d rotating shallow water: Nonlinear semi-geostrophic adjustment, slow manifold and nonlinear wave phenomena
    • Zeitlin V. Medvedev S.B. Plougonven R. 1d rotating shallow water: nonlinear semi-geostrophic adjustment, slow manifold and nonlinear wave phenomena J. Fluid Mech. 481 2003 269-290
    • (2003) J. Fluid Mech. , vol.481 , pp. 269-290
    • Zeitlin, V.1    Medvedev, S.B.2    Plougonven, R.3
  • 35
    • 0041896020 scopus 로고    scopus 로고
    • Nonlinear theory of geostrophic adjustment. Part 2: Two-layer and continuously stratified primitive equations
    • to be published
    • Zeitlin V, Reznik GM, Ben Jelloul M. Nonlinear theory of geostrophic adjustment. Part 2: two-layer and continuously stratified primitive equations. J Fluid Mech 2003, to be published
    • (2003) J Fluid Mech
    • Zeitlin, V.1    Reznik, G.M.2    Ben Jelloul, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.