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Volumn 58, Issue 3-4, 2008, Pages 237-246

On the mathematical stability of stratified flow models with local turbulence closure schemes

Author keywords

Marine modelling; Stability; Turbulence closure; Vertical mixing

Indexed keywords

FLUID DYNAMICS; MOTION ESTIMATION;

EID: 55849137640     PISSN: 16167341     EISSN: 16167228     Source Type: Journal    
DOI: 10.1007/s10236-008-0145-6     Document Type: Article
Times cited : (10)

References (26)
  • 1
    • 0027884203 scopus 로고
    • Variability of tropical atlantic ocean simulated by a general circulation model with two different mixed-layer physics
    • B Blanke P Delecluse 1993 Variability of tropical atlantic ocean simulated by a general circulation model with two different mixed-layer physics J Phys Oceanogr 23 1363 1388
    • (1993) J Phys Oceanogr , vol.23 , pp. 1363-1388
    • Blanke, B.1    Delecluse, P.2
  • 2
    • 0020345123 scopus 로고
    • A numerical predictability problem in solution of the nonlinear diffusion equation
    • PS Brown JP Pandolfo 1982 A numerical predictability problem in solution of the nonlinear diffusion equation Mon Weather Rev 110 1214 1223
    • (1982) Mon Weather Rev , vol.110 , pp. 1214-1223
    • Brown, P.S.1    Pandolfo, J.P.2
  • 4
    • 0036367872 scopus 로고    scopus 로고
    • Energy-conserving discretization of turbulent shear and buoyancy production
    • H Burchard 2002 Energy-conserving discretization of turbulent shear and buoyancy production Ocean Model 4 347 361
    • (2002) Ocean Model , vol.4 , pp. 347-361
    • Burchard, H.1
  • 5
    • 0042910527 scopus 로고    scopus 로고
    • Stability of algebraic non-equilibrium second-order closure models
    • H Burchard E Deleersnijder 2001 Stability of algebraic non-equilibrium second-order closure models Ocean Model 3 33 50
    • (2001) Ocean Model , vol.3 , pp. 33-50
    • Burchard, H.1    Deleersnijder, E.2
  • 6
    • 0035358379 scopus 로고    scopus 로고
    • Ocean turbulence. Part I: One point closure model. Momentum and heat vertical diffusivities
    • VM Canuto A Howard Y Cheng MS Dubovikov 2001 Ocean turbulence. Part I: one point closure model. Momentum and heat vertical diffusivities J Phys Oceanogr 31 1413 1426
    • (2001) J Phys Oceanogr , vol.31 , pp. 1413-1426
    • Canuto, V.M.1    Howard, A.2    Cheng, Y.3    Dubovikov, M.S.4
  • 7
    • 0026416395 scopus 로고
    • On the numerical solution of the turbulence energy equations for wave and tidal flows
    • AM Davies JE Jones 1991 On the numerical solution of the turbulence energy equations for wave and tidal flows Int J Numer Methods Fluids 12 17 41
    • (1991) Int J Numer Methods Fluids , vol.12 , pp. 17-41
    • Davies, A.M.1    Jones, J.E.2
  • 8
    • 0342309908 scopus 로고
    • The stability of some planetary boundary layer diffusion equations
    • HC Davies 1983 The stability of some planetary boundary layer diffusion equations Mon Weather Rev 111 2140 2143
    • (1983) Mon Weather Rev , vol.111 , pp. 2140-2143
    • Davies, H.C.1
  • 9
    • 55849127498 scopus 로고    scopus 로고
    • Reply to Mellor's comments on "stability of algebraic non-equilibrium second-order closure models" by H. Burchard and E. Deleersnijder (Ocean Model 3:33-50 (2001))
    • E Deleersnijder H Burchard 2003 Reply to Mellor's comments on "Stability of algebraic non-equilibrium second-order closure models" by H. Burchard and E. Deleersnijder (Ocean Model 3:33-50 (2001)) Ocean Model 5 291 293
    • (2003) Ocean Model , vol.5 , pp. 291-293
    • Deleersnijder, E.1    Burchard, H.2
  • 10
    • 0028174774 scopus 로고
    • On the practical advantages of the quasi-equilibrium version of the Mellor and Yamada level 2.5 turbulence closure applied to marine modelling
    • E Deleersnijder P Luyten 1994 On the practical advantages of the quasi-equilibrium version of the Mellor and Yamada level 2.5 turbulence closure applied to marine modelling Appl Math Model 18 281 287
    • (1994) Appl Math Model , vol.18 , pp. 281-287
    • Deleersnijder, E.1    Luyten, P.2
  • 11
    • 0024192855 scopus 로고
    • A quasi-equilibrium turbulent energy model for geophysical flows
    • B Galperin LH Kantha S Hassid S Rosati 1988 A quasi-equilibrium turbulent energy model for geophysical flows J Atmos Sci 45 55 62
    • (1988) J Atmos Sci , vol.45 , pp. 55-62
    • Galperin, B.1    Kantha, L.H.2    Hassid, S.3    Rosati, S.4
  • 12
    • 0025659050 scopus 로고
    • Stable schemes for nonlinear vertical diffusion in atmospheric circulation models
    • C Girard Y Delage 1990 Stable schemes for nonlinear vertical diffusion in atmospheric circulation models Mon Weather Rev 118 737 745
    • (1990) Mon Weather Rev , vol.118 , pp. 737-745
    • Girard, C.1    Delage, Y.2
  • 13
    • 0032694630 scopus 로고    scopus 로고
    • Sensitivity of a global coupled ocean-sea ice model to the parametrisation of vertical mixing
    • H Goosse E Deleersnijder T Fichefet MH England 1999 Sensitivity of a global coupled ocean-sea ice model to the parametrisation of vertical mixing J Geophys Res 104 13681 13695
    • (1999) J Geophys Res , vol.104 , pp. 13681-13695
    • Goosse, H.1    Deleersnijder, E.2    Fichefet, T.3    England, M.H.4
  • 14
    • 0020870290 scopus 로고
    • A turbulent energy model for geophysical flows
    • S Hassid B Galperin 1983 A turbulent energy model for geophysical flows Bound Layer Meteorol 26 397 412
    • (1983) Bound Layer Meteorol , vol.26 , pp. 397-412
    • Hassid, S.1    Galperin, B.2
  • 15
    • 84958444643 scopus 로고
    • On the penetration of a turbulent layer into stratified fluid
    • H Kato OM Phillips 1969 On the penetration of a turbulent layer into stratified fluid J Fluid Mech 37 643 655
    • (1969) J Fluid Mech , vol.37 , pp. 643-655
    • Kato, H.1    Phillips, O.M.2
  • 16
    • 0043038663 scopus 로고
    • On the stability of turbulent density-stratified shear flows
    • C Kranenburg 1980 On the stability of turbulent density-stratified shear flows J Phys Oceanogr 10 1131 1133
    • (1980) J Phys Oceanogr , vol.10 , pp. 1131-1133
    • Kranenburg, C.1
  • 17
    • 0019927261 scopus 로고
    • Stability conditions for gradient-transport models of turbulent density-stratified shear flows
    • C Kranenburg 1982 Stability conditions for gradient-transport models of turbulent density-stratified shear flows Geophys Astrophys Fluid Dyn 19 93 104
    • (1982) Geophys Astrophys Fluid Dyn , vol.19 , pp. 93-104
    • Kranenburg, C.1
  • 18
    • 0037064632 scopus 로고    scopus 로고
    • Comments on "stability of algebraic non-equilibrium second-order closure models" by H. Burchard and E. Deleersnijder (Ocean Model 3:33-50 (2001))
    • GL Mellor 2003 Comments on "Stability of algebraic non-equilibrium second-order closure models" by H. Burchard and E. Deleersnijder (Ocean Model 3:33-50 (2001)) Ocean Model 5 193 194
    • (2003) Ocean Model , vol.5 , pp. 193-194
    • Mellor, G.L.1
  • 19
    • 0000265493 scopus 로고
    • A hierarchy of turbulence closure models for planetary boundary layers
    • GL Mellor T Yamada 1974 A hierarchy of turbulence closure models for planetary boundary layers J Atmos Sci 31 1791 1806
    • (1974) J Atmos Sci , vol.31 , pp. 1791-1806
    • Mellor, G.L.1    Yamada, T.2
  • 20
    • 0020330926 scopus 로고
    • Development of a turbulence closure model for geophysical fluids problems
    • GL Mellor T Yamada 1982 Development of a turbulence closure model for geophysical fluids problems Rev Geophys Space Phys 20 851 875
    • (1982) Rev Geophys Space Phys , vol.20 , pp. 851-875
    • Mellor, G.L.1    Yamada, T.2
  • 21
    • 0000726939 scopus 로고
    • Notes on a theory of the thermocline
    • WH Munk ER Anderson 1948 Notes on a theory of the thermocline J Mar Res 3 276 295
    • (1948) J Mar Res , vol.3 , pp. 276-295
    • Munk, W.H.1    Anderson, E.R.2
  • 22
    • 0019374417 scopus 로고
    • Parametrization of vertical mixing in numerical models of tropical oceans
    • RC Pacanowski SGH Philander 1981 Parametrization of vertical mixing in numerical models of tropical oceans J Phys Oceanogr 11 1443 1451
    • (1981) J Phys Oceanogr , vol.11 , pp. 1443-1451
    • Pacanowski, R.C.1    Philander, S.G.H.2
  • 23
    • 0002036850 scopus 로고
    • Turbulence in a strongly stratified fluid-is it unstable?
    • OM Phillips 1972 Turbulence in a strongly stratified fluid-is it unstable? Deep Sea Res 19 79 81
    • (1972) Deep Sea Res , vol.19 , pp. 79-81
    • Phillips, O.M.1
  • 24
    • 0343771733 scopus 로고
    • Examples of calculation methods for flow and mixing in stratified fluids
    • C5
    • W Rodi 1987 Examples of calculation methods for flow and mixing in stratified fluids J Geophys Res 92 C5 5305 5328
    • (1987) J Geophys Res , vol.92 , pp. 5305-5328
    • Rodi, W.1
  • 25
    • 0029538542 scopus 로고
    • Haline stratification in the Rhine-Meuse freshwater plume: A three-dimensional model sensitivity analysis
    • KG Ruddick E Deleersnijder PJ Luyten J Ozer 1995 Haline stratification in the Rhine-Meuse freshwater plume: a three-dimensional model sensitivity analysis Cont Shelf Res 15 1597 1630
    • (1995) Cont Shelf Res , vol.15 , pp. 1597-1630
    • Ruddick, K.G.1    Deleersnijder, E.2    Luyten, P.J.3    Ozer, J.4
  • 26
    • 0017669101 scopus 로고
    • A numerical experiment on pollutant dispersion in a horizontally- homogeneous atmospheric boundary layer
    • T Yamada 1977 A numerical experiment on pollutant dispersion in a horizontally-homogeneous atmospheric boundary layer Atmos Environ 11 1015 1024
    • (1977) Atmos Environ , vol.11 , pp. 1015-1024
    • Yamada, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.