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Volumn 133, Issue 11, 2005, Pages 3335-3344

Stability analysis of geostrophic adjustment on hexagonal grids for regions with variable depth

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; STABILITY; VECTORS;

EID: 28944438254     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/MWR3036.1     Document Type: Article
Times cited : (5)

References (25)
  • 1
    • 33744482805 scopus 로고
    • Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow
    • Arakawa, A., 1966: Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part I. J. Comput. Phys., 1, 119-143.
    • (1966) J. Comput. Phys. , vol.1 , Issue.PART I , pp. 119-143
    • Arakawa, A.1
  • 2
    • 0019704843 scopus 로고
    • A potential enstrophy and energy conserving scheme for the shallow water equations
    • Arakawa, A., and V. Lamb, 1981: A potential enstrophy and energy conserving scheme for the shallow water equations. Mon. Wea. Rev., 109, 18-36.
    • (1981) Mon. Wea. Rev. , vol.109 , pp. 18-36
    • Arakawa, A.1    Lamb, V.2
  • 3
    • 0000520914 scopus 로고
    • Frequency filters for time integration
    • Asselin, R., 1972: Frequency filters for time integration. Mon. Wea. Rev., 100, 487-490.
    • (1972) Mon. Wea. Rev. , vol.100 , pp. 487-490
    • Asselin, R.1
  • 4
    • 0000157495 scopus 로고
    • A description of a three-dimensional coastal ocean circulation model
    • N. Heaps, Ed., Coastal and Estuarine Series, Amer. Geophys. Union
    • Blumberg, A., and G. Mellor, 1987: A description of a three-dimensional coastal ocean circulation model. Three-Dimensional Coastal Ocean Models, N. Heaps, Ed., Coastal and Estuarine Series, Vol. 4, Amer. Geophys. Union, 1-16.
    • (1987) Three-Dimensional Coastal Ocean Models , vol.4 , pp. 1-16
    • Blumberg, A.1    Mellor, G.2
  • 5
    • 0031932779 scopus 로고    scopus 로고
    • Production of monthly mean climatological archives of salinity, temperature, current and sea level for the Nordic Seas
    • Engedahl, H., B. Ådlandsvik, and E. Martinsen, 1998: Production of monthly mean climatological archives of salinity, temperature, current and sea level for the Nordic Seas. J. Mar. Syst., 14, 1-26.
    • (1998) J. Mar. Syst. , vol.14 , pp. 1-26
    • Engedahl, H.1    Ådlandsvik, B.2    Martinsen, E.3
  • 6
    • 0034521590 scopus 로고    scopus 로고
    • Conservation of energy for schemes applied to the propagation of shallow-water inertia-gravity waves in regions with varying depth
    • Espelid, T., J. Berntsen, and K. Barthel, 2000: Conservation of energy for schemes applied to the propagation of shallow-water inertia-gravity waves in regions with varying depth. Int. J. Numer. Meth. Eng., 49, 1521-1545.
    • (2000) Int. J. Numer. Meth. Eng. , vol.49 , pp. 1521-1545
    • Espelid, T.1    Berntsen, J.2    Barthel, K.3
  • 7
    • 0003591291 scopus 로고    scopus 로고
    • Series on Environmental Science and Management Imperial College Press
    • Haidvogel, D., and A. Beckmann, 1999: Numerical Ocean Circulation Modeling. Series on Environmental Science and Management, Vol. 2, Imperial College Press, 318 pp.
    • (1999) Numerical Ocean Circulation Modeling , vol.2 , pp. 318
    • Haidvogel, D.1    Beckmann, A.2
  • 9
    • 0000631097 scopus 로고
    • Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part I: Basic design and results of tests
    • Heikes, R., and D. Randall, 1995a: Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part I: Basic design and results of tests. Mon. Wea. Rev., 123, 1862-1880.
    • (1995) Mon. Wea. Rev. , vol.123 , pp. 1862-1880
    • Heikes, R.1    Randall, D.2
  • 10
    • 0000631098 scopus 로고
    • Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part II: A detailed description of the grid and an analysis of numerical accuracy
    • Heikes, R., and D. Randall, 1995b: Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part II: A detailed description of the grid and an analysis of numerical accuracy. Mon. Wea. Rev., 123, 1881-1887.
    • (1995) Mon. Wea. Rev. , vol.123 , pp. 1881-1887
    • Heikes, R.1    Randall, D.2
  • 11
    • 1542318154 scopus 로고    scopus 로고
    • On a class of ocean model instabilities that may occur when applying small time steps, implicit methods, and low viscosities
    • Heimsund, B.-O., and J. Berntsen, 2004: On a class of ocean model instabilities that may occur when applying small time steps, implicit methods, and low viscosities. Ocean Modell., 7, 135-144.
    • (2004) Ocean Modell. , vol.7 , pp. 135-144
    • Heimsund, B.-O.1    Berntsen, J.2
  • 13
    • 0000585457 scopus 로고
    • Implementation of a posteriori methods for enforcing conservation of potential enstrophy and mass in discretized shallow-water equations models
    • Navon, I., 1981: Implementation of a posteriori methods for enforcing conservation of potential enstrophy and mass in discretized shallow-water equations models. Mon. Wea. Rev., 109, 946-958.
    • (1981) Mon. Wea. Rev. , vol.109 , pp. 946-958
    • Navon, I.1
  • 14
    • 0028553524 scopus 로고
    • On the use of hexagonal grids for simulation of atmospheric processes
    • Ničković, S., 1994: On the use of hexagonal grids for simulation of atmospheric processes. Beitr. Phys. Atmos., 67 (2), 103-107.
    • (1994) Beitr. Phys. Atmos. , vol.67 , Issue.2 , pp. 103-107
    • Ničković, S.1
  • 15
    • 0036509430 scopus 로고    scopus 로고
    • Geostrophic adjustment on hexagonal grids
    • Ničković, S., M. Gavrilov, and I. Tošić, 2002: Geostrophic adjustment on hexagonal grids. Mon. Wea. Rev., 130, 668-683.
    • (2002) Mon. Wea. Rev. , vol.130 , pp. 668-683
    • Ničković, S.1    Gavrilov, M.2    Tošić, I.3
  • 16
    • 21844481026 scopus 로고    scopus 로고
    • Frequency of quasi-geostrophic modes on hexagonal grids
    • Popović, J., S. Ničović, and M. Gavrilov, 1996: Frequency of quasi-geostrophic modes on hexagonal grids. Meteor. Atmos. Phys., 58, 41-49.
    • (1996) Meteor. Atmos. Phys. , vol.58 , pp. 41-49
    • Popović, J.1    Ničović, S.2    Gavrilov, M.3
  • 18
    • 0036566625 scopus 로고    scopus 로고
    • A potential enstrophy and energy conserving numerical scheme for the solution of the shallow-water equations on a geodesic grid
    • Ringler, T., and D. Randall, 2002: A potential enstrophy and energy conserving numerical scheme for the solution of the shallow-water equations on a geodesic grid. Mon. Wea. Rev., 130, 1397-1410.
    • (2002) Mon. Wea. Rev. , vol.130 , pp. 1397-1410
    • Ringler, T.1    Randall, D.2
  • 19
    • 0016570632 scopus 로고
    • Compressible model flows on the sphere
    • Sadourny, R., 1975a: Compressible model flows on the sphere. J. Atmos. Sci., 32, 680-689.
    • (1975) J. Atmos. Sci. , vol.32 , pp. 680-689
    • Sadourny, R.1
  • 20
    • 0016494621 scopus 로고
    • The dynamics of finite-difference models of the shallow-water equations
    • Sadourny, R., 1975b: The dynamics of finite-difference models of the shallow-water equations. J. Atmos. Sci., 32, 680-689.
    • (1975) J. Atmos. Sci. , vol.32 , pp. 680-689
    • Sadourny, R.1
  • 21
    • 0000244497 scopus 로고
    • A finite-difference approximation of the primitive equations for a hexagonal grid on a plane
    • Sadourny, R., and P. Morel, 1969: A finite-difference approximation of the primitive equations for a hexagonal grid on a plane. Mon. Wea. Rev., 97, 439-445.
    • (1969) Mon. Wea. Rev. , vol.97 , pp. 439-445
    • Sadourny, R.1    Morel, P.2
  • 22
    • 0000184292 scopus 로고
    • Integration of nondivergent barotropic velocity equation with an icosahedral-hexagonal grid for the sphere
    • Sadourny, R., A. Arakawa, and Y. Mintz, 1968: Integration of nondivergent barotropic velocity equation with an icosahedral-hexagonal grid for the sphere. Mon. Wea. Rev., 96, 351-356.
    • (1968) Mon. Wea. Rev. , vol.96 , pp. 351-356
    • Sadourny, R.1    Arakawa, A.2    Mintz, Y.3
  • 23
    • 0001691367 scopus 로고
    • Variational design of finite-difference schemes for initial value problems with an internal invariant
    • Sasaki, Y., 1976: Variational design of finite-difference schemes for initial value problems with an internal invariant. J. Comput. Phys., 21, 270-278.
    • (1976) J. Comput. Phys. , vol.21 , pp. 270-278
    • Sasaki, Y.1
  • 24
    • 1542318151 scopus 로고    scopus 로고
    • Grid geometry effects on convection in ocean climate models: A conceptual study
    • Titz, S., T. Kuhlbrodt, and U. Feudel, 2004: Grid geometry effects on convection in ocean climate models: A conceptual study. Ocean Modell., 7, 165-181.
    • (2004) Ocean Modell. , vol.7 , pp. 165-181
    • Titz, S.1    Kuhlbrodt, T.2    Feudel, U.3
  • 25
    • 0000762234 scopus 로고
    • Integration of the barotropic vorticity equation on a spherical geodesic grid
    • Williamson, D., 1968: Integration of the barotropic vorticity equation on a spherical geodesic grid. Tellus, 20, 642-653.
    • (1968) Tellus , vol.20 , pp. 642-653
    • Williamson, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.