메뉴 건너뛰기




Volumn 229, Issue 9, 2010, Pages 3065-3090

A unified approach to energy conservation and potential vorticity dynamics for arbitrarily-structured C-grids

Author keywords

C grid; Potential vorticity; Shallow water equations; Voronoi diagram

Indexed keywords

COMPUTATIONAL GEOMETRY; GRAPHIC METHODS; NONLINEAR EQUATIONS; NUMERICAL METHODS; VORTICITY;

EID: 77949326654     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.12.007     Document Type: Article
Times cited : (254)

References (38)
  • 1
    • 11844285712 scopus 로고    scopus 로고
    • Implementation of an atmosphere-ocean general circulation model on the expanded spherical cube
    • Adcroft A., Campin J., Hill C., Marshall J. Implementation of an atmosphere-ocean general circulation model on the expanded spherical cube. Monthly Weather Review 2004.
    • (2004) Monthly Weather Review
    • Adcroft, A.1    Campin, J.2    Hill, C.3    Marshall, J.4
  • 2
    • 0019704843 scopus 로고
    • A potential enstrophy and energy conserving scheme for the shallow water equations
    • Arakawa A., Lamb V. A potential enstrophy and energy conserving scheme for the shallow water equations. Monthly Weather Review 1981.
    • (1981) Monthly Weather Review
    • Arakawa, A.1    Lamb, V.2
  • 3
    • 85189836711 scopus 로고
    • Energy conserving and potential-enstrophy dissipating schemes for the shallow-water equations, Monthly Weather Review, (1960, 1969)
    • A. Arakawa, Y.J.G. Hsu, Energy conserving and potential-enstrophy dissipating schemes for the shallow-water equations, Monthly Weather Review, 118(10) (1960, 1969) 1981.
    • (1981) , vol.118 , Issue.10
    • Arakawa, A.1    Hsu, Y.J.G.2
  • 4
    • 0000094119 scopus 로고
    • Computational design of the basic dynamical processes in the ucla general circulation model
    • Arakawa A., Lamb V.R. Computational design of the basic dynamical processes in the ucla general circulation model. Methods in Computational Physics 1977, 17:173-265.
    • (1977) Methods in Computational Physics , vol.17 , pp. 173-265
    • Arakawa, A.1    Lamb, V.R.2
  • 5
    • 84976826673 scopus 로고
    • Voronoi diagrams - A survey of a fundamental geometric data structure
    • Aurenhammer F. Voronoi diagrams - A survey of a fundamental geometric data structure. ACM Computing Surveys 1991, 23(245):405.
    • (1991) ACM Computing Surveys , vol.23 , Issue.245 , pp. 405
    • Aurenhammer, F.1
  • 6
    • 24944461801 scopus 로고    scopus 로고
    • Analysis of discrete shallow-water models on geodesic Delaunay grids with c-type staggering
    • Bonaventura L., Ringler T. Analysis of discrete shallow-water models on geodesic Delaunay grids with c-type staggering. Monthly Weather Review 2005.
    • (2005) Monthly Weather Review
    • Bonaventura, L.1    Ringler, T.2
  • 8
    • 0000397713 scopus 로고
    • A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere
    • Cote J. A Lagrange multiplier approach for the metric terms of semi-Lagrangian models on the sphere. Quarterly Journal of the Royal Meteorological Society 1988, 114(483).
    • (1988) Quarterly Journal of the Royal Meteorological Society , vol.114 , Issue.483
    • Cote, J.1
  • 9
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal voronoi tessellations: applications and algorithms
    • Du Q., Faber V., Gunzburger M. Centroidal voronoi tessellations: applications and algorithms. SIAM Review 1999, 41(4):637-676.
    • (1999) SIAM Review , vol.41 , Issue.4 , pp. 637-676
    • Du, Q.1    Faber, V.2    Gunzburger, M.3
  • 10
    • 0042100528 scopus 로고    scopus 로고
    • Constrained centroidal voronoi tessellations for surfaces
    • Du Q., Gunzburger M.D., Ju L. Constrained centroidal voronoi tessellations for surfaces. SIAM Journal on Scientific Computing 2003, 24(5):488-1506.
    • (2003) SIAM Journal on Scientific Computing , vol.24 , Issue.5 , pp. 488-1506
    • Du, Q.1    Gunzburger, M.D.2    Ju, L.3
  • 11
    • 0042424790 scopus 로고    scopus 로고
    • Voronoi-based finite volume methods, optimal voronoi meshes, and pdes on the sphere
    • Du Q., Gunzburger M., Ju L. Voronoi-based finite volume methods, optimal voronoi meshes, and pdes on the sphere. Computer Methods in Applied Mechanics and Engineering 2003, 192(35-36):3933-3957.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.35-36 , pp. 3933-3957
    • Du, Q.1    Gunzburger, M.2    Ju, L.3
  • 12
    • 37849185181 scopus 로고    scopus 로고
    • The symmetry and stability of unstructured mesh C-grid shallow water models under the influence of Coriolis
    • Ham D.A., Kramer S.C., Stelling G.S., Pietrzak J. The symmetry and stability of unstructured mesh C-grid shallow water models under the influence of Coriolis. Ocean Modelling 2007, 16(1-2).
    • (2007) Ocean Modelling , vol.16 , Issue.1-2
    • Ham, D.A.1    Kramer, S.C.2    Stelling, G.S.3    Pietrzak, J.4
  • 13
    • 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., Randall D. Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part i: Basic design and results of tests. Monthly Weather Review 1995, 123:1862-1880.
    • (1995) Monthly Weather Review , vol.123 , pp. 1862-1880
    • Heikes, R.1    Randall, D.2
  • 15
    • 62849087970 scopus 로고    scopus 로고
    • On the accurate and stable reconstruction of tangential velocities in C-grid ocean models
    • Kleptsova O., Pietrzak J., Stelling G. On the accurate and stable reconstruction of tangential velocities in C-grid ocean models. Ocean Modelling 2009, 28.
    • (2009) Ocean Modelling , vol.28
    • Kleptsova, O.1    Pietrzak, J.2    Stelling, G.3
  • 16
    • 0031412460 scopus 로고    scopus 로고
    • An explicit flux-form semi-lagrangian shallow-water model on the sphere
    • Lin S.J., Rood R.B. An explicit flux-form semi-lagrangian shallow-water model on the sphere. Quarterly Journal of the Royal Meteorological Society 1997, 123(544):2477-2498.
    • (1997) Quarterly Journal of the Royal Meteorological Society , vol.123 , Issue.544 , pp. 2477-2498
    • Lin, S.J.1    Rood, R.B.2
  • 17
    • 24944497550 scopus 로고    scopus 로고
    • An incremental remapping transport scheme on a spherical geodesic grid
    • Lipscomb W., Ringler T. An incremental remapping transport scheme on a spherical geodesic grid. Monthly Weather Review 2005.
    • (2005) Monthly Weather Review
    • Lipscomb, W.1    Ringler, T.2
  • 18
    • 0027804895 scopus 로고
    • Potential vorticity constraints on the dynamics and hydrography of the southern ocean
    • Marshall J., Olbers D., Ross H., Wolf-Gladrow D. Potential vorticity constraints on the dynamics and hydrography of the southern ocean. Journal of Physical Oceanography 1993, 23(3):465-487.
    • (1993) Journal of Physical Oceanography , vol.23 , Issue.3 , pp. 465-487
    • Marshall, J.1    Olbers, D.2    Ross, H.3    Wolf-Gladrow, D.4
  • 19
    • 0000884741 scopus 로고
    • A note on a consistent quasigeostrophic model in a multiply connected domain
    • McWilliams J. A note on a consistent quasigeostrophic model in a multiply connected domain. Dynamics of Atmospheres and Oceans 1977, 1(5):427-441.
    • (1977) Dynamics of Atmospheres and Oceans , vol.1 , Issue.5 , pp. 427-441
    • McWilliams, J.1
  • 22
    • 0242505500 scopus 로고    scopus 로고
    • John Wiley & Sons, Inc., New York
    • Panton R.L. Incompressible Flow 1996, John Wiley & Sons, Inc., New York, pp. 1-840.
    • (1996) Incompressible Flow , pp. 1-840
    • Panton, R.L.1
  • 23
    • 0002868129 scopus 로고    scopus 로고
    • Conservation properties of unstructured staggered mesh schemes
    • Perot B. Conservation properties of unstructured staggered mesh schemes. Journal of Computational Physics 2000, 159(1):58-89.
    • (2000) Journal of Computational Physics , vol.159 , Issue.1 , pp. 58-89
    • Perot, B.1
  • 24
    • 0033832359 scopus 로고    scopus 로고
    • Modeling the atmospheric general circulation using a spherical geodesic grid: a new class of dynamical cores
    • Ringler T.D., Heikes R., Randall D. Modeling the atmospheric general circulation using a spherical geodesic grid: a new class of dynamical cores. Monthly Weather Review 2000, 128(7):2471-2490.
    • (2000) Monthly Weather Review , vol.128 , Issue.7 , pp. 2471-2490
    • Ringler, T.D.1    Heikes, R.2    Randall, D.3
  • 25
    • 0036566625 scopus 로고    scopus 로고
    • A potential enstrophy and energy conserving numerical scheme for solution of the shallow-water equations on a geodesic grid
    • Ringler T.D., Randall D.A. A potential enstrophy and energy conserving numerical scheme for solution of the shallow-water equations on a geodesic grid. Monthly Weather Review 2002, 130(5):1397-1410.
    • (2002) Monthly Weather Review , vol.130 , Issue.5 , pp. 1397-1410
    • Ringler, T.D.1    Randall, D.A.2
  • 26
    • 0016494621 scopus 로고
    • The dynamics of finite-difference models of the shallow-water equations
    • Sadourny R. The dynamics of finite-difference models of the shallow-water equations. Journal of the Atmospheric Sciences 1975, 32(4):680-689.
    • (1975) Journal of the Atmospheric Sciences , vol.32 , Issue.4 , pp. 680-689
    • Sadourny, R.1
  • 27
    • 0022165074 scopus 로고
    • Parameterization of subgrid scale barotropic and baroclinic eddies in quasi-geostrophic models: anticipated potential vorticity method
    • Sadourny R., Basdevant C. Parameterization of subgrid scale barotropic and baroclinic eddies in quasi-geostrophic models: anticipated potential vorticity method. Journal of the Atmospheric Sciences 1985, 42(13):1353-1363.
    • (1985) Journal of the Atmospheric Sciences , vol.42 , Issue.13 , pp. 1353-1363
    • Sadourny, R.1    Basdevant, C.2
  • 28
    • 85189842675 scopus 로고    scopus 로고
    • A linear analysis of the ncar ccsm finite-volume dynamical core, Monthly Weather Review, January.
    • W. Skamarock, A linear analysis of the ncar ccsm finite-volume dynamical core, Monthly Weather Review, January 2008.
    • (2008)
    • Skamarock, W.1
  • 29
    • 85189840650 scopus 로고
    • Curvilinear coordinates for global ocean models, Los Alamos National Laboratory Technical Report, LA-UR-95-1146
    • R.D. Smith, S. Kortas, Curvilinear coordinates for global ocean models, Los Alamos National Laboratory Technical Report, LA-UR-95-1146, 1995.
    • (1995)
    • Smith, R.D.1    Kortas, S.2
  • 30
    • 32644450693 scopus 로고    scopus 로고
    • A robust unstructured grid discretization for 3-dimensional hydrostatic flows in spherical geometry: a new numerical structure for ocean general circulation modeling
    • Stuhne G.R., Peltier W.R. A robust unstructured grid discretization for 3-dimensional hydrostatic flows in spherical geometry: a new numerical structure for ocean general circulation modeling. Journal of Computational Physics 2006, 213(2).
    • (2006) Journal of Computational Physics , vol.213 , Issue.2
    • Stuhne, G.R.1    Peltier, W.R.2
  • 31
    • 0001366216 scopus 로고    scopus 로고
    • Spectral transform methods for solving the shallow water equations on the sphere
    • Swarztrauber P. Spectral transform methods for solving the shallow water equations on the sphere. Monthly Weather Review 1996, 124:730-744.
    • (1996) Monthly Weather Review , vol.124 , pp. 730-744
    • Swarztrauber, P.1
  • 32
    • 0029685033 scopus 로고    scopus 로고
    • Multidimensional flux-limited advection schemes
    • Thuburn J. Multidimensional flux-limited advection schemes. Journal of Computational Physics 1996, 123(1):74-83.
    • (1996) Journal of Computational Physics , vol.123 , Issue.1 , pp. 74-83
    • Thuburn, J.1
  • 33
    • 0031234065 scopus 로고    scopus 로고
    • A pv-based shallow-water model on a hexagonal-icosahedral grid
    • Thuburn J. A pv-based shallow-water model on a hexagonal-icosahedral grid. Monthly Weather Review 1997, 125(9):2328-2347.
    • (1997) Monthly Weather Review , vol.125 , Issue.9 , pp. 2328-2347
    • Thuburn, J.1
  • 34
    • 39549109059 scopus 로고    scopus 로고
    • Some conservation issues for the dynamical cores of nwp and climate models
    • Thuburn J. Some conservation issues for the dynamical cores of nwp and climate models. Journal of Computational Physics 2008, 227(7):3715-3730.
    • (2008) Journal of Computational Physics , vol.227 , Issue.7 , pp. 3715-3730
    • Thuburn, J.1
  • 35
    • 70349233739 scopus 로고    scopus 로고
    • Numerical representation of geostrophic modes on arbitrarily structured C-grids
    • Thuburn J., Ringler T., Klemp J., Skamarock W. Numerical representation of geostrophic modes on arbitrarily structured C-grids. Journal of Computational Physics 2009, 228:8321-8335.
    • (2009) Journal of Computational Physics , vol.228 , pp. 8321-8335
    • Thuburn, J.1    Ringler, T.2    Klemp, J.3    Skamarock, W.4
  • 37
    • 85066350454 scopus 로고
    • A standard test set for numerical approximations to the shallow water equations in spherical geometry
    • Williamson, Drake J., Hack J., Jakob R., Swarztrauber P. A standard test set for numerical approximations to the shallow water equations in spherical geometry. Journal of Computational Physics 1992, 102:211-224.
    • (1992) Journal of Computational Physics , vol.102 , pp. 211-224
    • Williamson1    Drake, J.2    Hack, J.3    Jakob, R.4    Swarztrauber, P.5
  • 38
    • 3743101779 scopus 로고
    • Fully multidimensional flux-corrected transport algorithms for fluids
    • Zalesak S.T. Fully multidimensional flux-corrected transport algorithms for fluids. Journal of Computational Physics 1979, 31(3):335-362.
    • (1979) Journal of Computational Physics , vol.31 , Issue.3 , pp. 335-362
    • Zalesak, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.