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Volumn 10, Issue 2, 2015, Pages 121-162

An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere

Author keywords

Adaptive mesh refinement; Cubed sphere; Finite volume method; High order; Shallow water equations

Indexed keywords


EID: 84945271498     PISSN: 15593940     EISSN: 21575452     Source Type: Journal    
DOI: 10.2140/camcos.2015.10.121     Document Type: Article
Times cited : (27)

References (63)
  • 2
    • 84901275365 scopus 로고    scopus 로고
    • A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the cubed-sphere
    • MR 3209599
    • L. Bao, R. D. Nair, and H. M. Tufo, A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the cubed-sphere, J. Comput. Phys. 271 (2014), 224-243. MR 3209599
    • (2014) J. Comput. Phys. , vol.271 , pp. 224-243
    • Bao, L.1    Nair, R.D.2    Tufo, H.M.3
  • 3
    • 67649995714 scopus 로고    scopus 로고
    • An adaptive cut-cell method for environmental fluid mechanics, Internat
    • MR 2010d:76022
    • M. F. Barad, P. Colella, and S. G. Schladow, An adaptive cut-cell method for environmental fluid mechanics, Internat. J. Numer. Methods Fluids 60 (2009), no. 5, 473-514. MR 2010d:76022
    • (2009) J. Numer. Methods Fluids , vol.60 , Issue.5 , pp. 473-514
    • Barad, M.F.1    Colella, P.2    Schladow, S.G.3
  • 4
    • 0025591039 scopus 로고
    • Integration of the shallow water equations on the sphere using a vector semi-Lagrangian scheme with a multigrid solver
    • J. R. Bates, F. H. M. Semazzi, R. W. Higgins, and S. R. M. Barros, Integration of the shallow water equations on the sphere using a vector semi-Lagrangian scheme with a multigrid solver, Mon. Weather Rev. 118 (1990), no. 8, 1615-1627.
    • (1990) Mon. Weather Rev. , vol.118 , Issue.8 , pp. 1615-1627
    • Bates, J.R.1    Semazzi, F.H.M.2    Higgins, R.W.3    Barros, S.R.M.4
  • 5
    • 84857935944 scopus 로고    scopus 로고
    • A dynamic hp-adaptive discontinuous Galerkin method for shallowwater flows on the sphere with application to a global tsunami simulation
    • S. Blaise and A. St-Cyr, A dynamic hp-adaptive discontinuous Galerkin method for shallowwater flows on the sphere with application to a global tsunami simulation, Mon. Weather Rev. 140 (2012), no. 3, 978-996.
    • (2012) Mon. Weather Rev. , vol.140 , Issue.3 , pp. 978-996
    • Blaise, S.1    St-Cyr, A.2
  • 6
    • 84945311227 scopus 로고    scopus 로고
    • A single stage flux-corrected transport algorithm for high-order finite-volume methods
    • Tech. report, 2015, Submitted to Commun. Appl. Math. Comput. Sci. arXiv 1506.02999v1
    • C. Chaplin and P. Colella, A single stage flux-corrected transport algorithm for high-order finite-volume methods, Tech. report, 2015, Submitted to Commun. Appl. Math. Comput. Sci. arXiv 1506.02999v1
    • Chaplin, C.1    Colella, P.2
  • 7
    • 84901246414 scopus 로고    scopus 로고
    • Global shallow water models based on multi-moment constrained finite volume method and three quasi-uniform spherical grids
    • MR 3209598
    • C. Chen, X. Li, X. Shen, and F. Xiao, Global shallow water models based on multi-moment constrained finite volume method and three quasi-uniform spherical grids, J. Comput. Phys. 271 (2014), 191-223. MR 3209598
    • (2014) J. Comput. Phys. , vol.271 , pp. 191-223
    • Chen, C.1    Li, X.2    Shen, X.3    Xiao, F.4
  • 8
    • 41249090263 scopus 로고    scopus 로고
    • Shallow water model on cubed-sphere by multi-moment finite volume method
    • MR 2009e:86001
    • C. Chen and F. Xiao, Shallow water model on cubed-sphere by multi-moment finite volume method, J. Comput. Phys. 227 (2008), no. 10, 5019-5044. MR 2009e:86001
    • (2008) J. Comput. Phys. , vol.227 , Issue.10 , pp. 5019-5044
    • Chen, C.1    Xiao, F.2
  • 9
    • 79953204992 scopus 로고    scopus 로고
    • An adaptive multimoment global model on a cubed sphere
    • C. Chen, F. Xiao, and X. Li, An adaptive multimoment global model on a cubed sphere, Mon. Weather Rev. 139 (2011), no. 2, 523-548.
    • (2011) Mon. Weather Rev. , vol.139 , Issue.2 , pp. 523-548
    • Chen, C.1    Xiao, F.2    Li, X.3
  • 10
    • 79951775257 scopus 로고    scopus 로고
    • High-order, finite-volume methods in mapped coordinates
    • MR 2012d:65245 Zbl 1218.65119
    • P. Colella, M. R. Dorr, J. A. F. Hittinger, and D. F. Martin, High-order, finite-volume methods in mapped coordinates, J. Comput. Phys. 230 (2011), no. 8, 2952-2976. MR 2012d:65245 Zbl 1218.65119
    • (2011) J. Comput. Phys. , vol.230 , Issue.8 , pp. 2952-2976
    • Colella, P.1    Dorr, M.R.2    Hittinger, J.A.F.3    Martin, D.F.4
  • 11
    • 62849096630 scopus 로고    scopus 로고
    • A finite element method for solving the shallow water equations on the sphere
    • R. Comblen, S. Legrand, E. Deleersnijder, and V. Legat, A finite element method for solving the shallow water equations on the sphere, Ocean Model. 38 (2009), no. 1-3, 12-23.
    • (2009) Ocean Model. , vol.38 , Issue.1-3 , pp. 12-23
    • Comblen, R.1    Legrand, S.2    Deleersnijder, E.3    Legat, V.4
  • 12
    • 0025528134 scopus 로고
    • An accurate and efficient finite-element global model of the shallowwater equations
    • J. Côté and A. Staniforth, An accurate and efficient finite-element global model of the shallowwater equations, Mon. Weather Rev. 118 (1990), no. 12, 2707-2717.
    • (1990) Mon. Weather Rev. , vol.118 , Issue.12 , pp. 2707-2717
    • Côté, J.1    Staniforth, A.2
  • 14
    • 0001721218 scopus 로고
    • On the use of a coordinate transformation for the solution of the Navier-Stokes equations
    • MR 51 #2470 Zbl 0297.76020
    • T. Gal-Chen and R. C. J. Somerville, On the use of a coordinate transformation for the solution of the Navier-Stokes equations, J. Computational Phys. 17 (1975), 209-228. MR 51 #2470 Zbl 0297.76020
    • (1975) J. Computational Phys , vol.17 , pp. 209-228
    • Gal-Chen, T.1    Somerville, R.C.J.2
  • 15
    • 8744312833 scopus 로고    scopus 로고
    • An initial-value problem for testing numerical models of the global shallow-water equations
    • J. Galewsky, R. K. Scott, and L. M. Polvani, An initial-value problem for testing numerical models of the global shallow-water equations, Tellus A 56 (2004), no. 5, 429-440.
    • (2004) Tellus A , vol.56 , Issue.5 , pp. 429-440
    • Galewsky, J.1    Scott, R.K.2    Polvani, L.M.3
  • 16
    • 84873302432 scopus 로고    scopus 로고
    • A global hexagonal C-grid non-hydrostatic dynamical core (ICON-IAP) designed for energetic consistency
    • A. Gassmann, A global hexagonal C-grid non-hydrostatic dynamical core (ICON-IAP) designed for energetic consistency, Q. J. Roy. Meteor. Soc. 139 (2013), no. 670, 152-175.
    • (2013) Q. J. Roy. Meteor. Soc. , vol.139 , Issue.670 , pp. 152-175
    • Gassmann, A.1
  • 17
    • 0037144878 scopus 로고    scopus 로고
    • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
    • MR 2003g:86004 Zbl 1178.76268
    • F. X. Giraldo, J. S. Hesthaven, and T. Warburton, Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations, J. Comput. Phys. 181 (2002), no. 2, 499-525. MR 2003g:86004 Zbl 1178.76268
    • (2002) J. Comput. Phys. , vol.181 , Issue.2 , pp. 499-525
    • Giraldo, F.X.1    Hesthaven, J.S.2    Warburton, T.3
  • 18
    • 77954909361 scopus 로고    scopus 로고
    • Running the NIM next-generation weather model on GPUs
    • 10th IEEE/ACM international conference on cluster, cloud and grid computing (Melbourne, 2010) (M. Parashar and R. Buyya, eds.), IEEE Computer Society, Los Lamitos, CA
    • M. Govett, J. Middlecoff, and T. Henderson, Running the NIM next-generation weather model on GPUs, 10th IEEE/ACM international conference on cluster, cloud and grid computing (Melbourne, 2010) (M. Parashar and R. Buyya, eds.), IEEE Computer Society, Los Lamitos, CA, 2010, pp. 792-796.
    • (2010) , pp. 792-796
    • Govett, M.1    Middlecoff, J.2    Henderson, T.3
  • 19
    • 84873858910 scopus 로고    scopus 로고
    • A freestream-preserving high-order finite-volume method for mapped grids with adaptive-mesh refinement
    • 50th AIAA aerospace sciences meeting (Nashville, TN, 2012), AIAA, Reston, VA
    • S. M. Guzik, P. McCorquodale, and P. Colella, A freestream-preserving high-order finite-volume method for mapped grids with adaptive-mesh refinement, 50th AIAA aerospace sciences meeting (Nashville, TN, 2012), AIAA, Reston, VA, 2012, p. 0574.
    • (2012) , pp. 0574
    • Guzik, S.M.1    McCorquodale, P.2    Colella, P.3
  • 20
    • 0003589989 scopus 로고
    • Solving ordinary differential equations, I: Nonstiffproblems
    • 2nd ed., Springer, Berlin. MR 94c:65005
    • E. Hairer, S. P. Nørsett, and G. Wanner, Solving ordinary differential equations, I: Nonstiffproblems, 2nd ed., Springer Series in Computational Mathematics, no. 8, Springer, Berlin, 1993. MR 94c:65005
    • (1993) Springer Series in Computational Mathematics , Issue.8
    • Hairer, E.1    Nørsett, S.P.2    Wanner, G.3
  • 21
    • 0000631097 scopus 로고
    • Numerical integration of the shallow-water equations on a twisted icosahedral grid. I: Basic design and results of tests
    • R. Heikes and D. A. Randall, Numerical integration of the shallow-water equations on a twisted icosahedral grid, I: Basic design and results of tests, Mon. Weather Rev. 123 (1995), no. 6, 1862-1880.
    • (1995) Mon. Weather Rev. , vol.123 , Issue.6 , pp. 1862-1880
    • Heikes, R.1    Randall, D.A.2
  • 22
    • 84983103084 scopus 로고    scopus 로고
    • A projection method for low Mach number fast chemistry reacting flow
    • 35th AIAA aerospace sciences meeting (Reno, NV, 1997), AIAA, Reston, VA
    • J. Hilditch and P. Colella, A projection method for low Mach number fast chemistry reacting flow, 35th AIAA aerospace sciences meeting (Reno, NV, 1997), AIAA, Reston, VA, 1997, p. 0263.
    • (1997) , pp. 0263
    • Hilditch, J.1    Colella, P.2
  • 24
    • 72449128695 scopus 로고    scopus 로고
    • A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid
    • MR 2010i:65179
    • S. Ii and F. Xiao, A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid, J. Comput. Phys. 229 (2010), no. 5, 1774-1796. MR 2010i:65179
    • (2010) J. Comput. Phys. , vol.229 , Issue.5 , pp. 1774-1796
    • Ii, S.1    Xiao, F.2
  • 25
    • 0001178530 scopus 로고
    • Spectral transform solutions to the shallow water test set
    • Zbl 0878.76059
    • R. Jakob-Chien, J. J. Hack, and D. L. Williamson, Spectral transform solutions to the shallow water test set, J. Comput. Phys. 119 (1995), no. 1, 164-187. Zbl 0878.76059
    • (1995) J. Comput. Phys. , vol.119 , Issue.1 , pp. 164-187
    • Jakob-Chien, R.1    Hack, J.J.2    Williamson, D.L.3
  • 26
    • 85028817675 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates
    • MR 2467951 Zbl 1218.76028
    • M. Läuter, F. X. Giraldo, D. Handorf, and K. Dethloff, A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates, J. Comput. Phys. 227 (2008), no. 24, 10226-10242. MR 2467951 Zbl 1218.76028
    • (2008) J. Comput. Phys. , vol.227 , Issue.24 , pp. 10226-10242
    • Läuter, M.1    Giraldo, F.X.2    Handorf, D.3    Dethloff, K.4
  • 27
    • 53249107909 scopus 로고    scopus 로고
    • A multimoment finite-volume shallow-water model on the Yin-Yang overset spherical grid
    • X. Li, D. Chen, X. Peng, K. Takahashi, and F. Xiao, A multimoment finite-volume shallow-water model on the Yin-Yang overset spherical grid, Mon. Weather Rev. 136 (2008), no. 8, 3066-3086.
    • (2008) Mon. Weather Rev. , vol.136 , Issue.8 , pp. 3066-3086
    • Li, X.1    Chen, D.2    Peng, X.3    Takahashi, K.4    Xiao, F.5
  • 28
    • 2442585001 scopus 로고    scopus 로고
    • A "vertically Lagrangian" finite-volume dynamical core for global models
    • S.-J. Lin, A "vertically Lagrangian" finite-volume dynamical core for global models, Mon. Weather Rev. 132 (2004), no. 10, 2293-2307.
    • (2004) Mon. Weather Rev , vol.132 , Issue.10 , pp. 2293-2307
    • Lin, S.-J.1
  • 29
    • 0031412460 scopus 로고    scopus 로고
    • An explicit flux-form semi-Lagrangian shallow-water model on the sphere
    • S.-J. Lin and R. B. Rood, An explicit flux-form semi-Lagrangian shallow-water model on the sphere, Q. J. Roy. Meteor. Soc. 123 (1997), no. 544, 2477-2498.
    • (1997) Q. J. Roy. Meteor. Soc. , vol.123 , Issue.544 , pp. 2477-2498
    • Lin, S.-J.1    Rood, R.B.2
  • 30
    • 77953175953 scopus 로고    scopus 로고
    • An immersed boundary method for the weather research and forecasting model
    • K. A. Lundquist, F. K. Chow, and J. K. Lundquist, An immersed boundary method for the weather research and forecasting model, Mon. Weather Rev. 138 (2010), no. 3, 796-817.
    • (2010) Mon. Weather Rev. , vol.138 , Issue.3 , pp. 796-817
    • Lundquist, K.A.1    Chow, F.K.2    Lundquist, J.K.3
  • 31
    • 84925538356 scopus 로고    scopus 로고
    • High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids
    • MR 3320206
    • P. McCorquodale, M. R. Dorr, J. A. F. Hittinger, and P. Colella, High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids, J. Comput. Phys. 288 (2015), 181-195. MR 3320206
    • (2015) J. Comput. Phys. , vol.288 , pp. 181-195
    • McCorquodale, P.1    Dorr, M.R.2    Hittinger, J.A.F.3    Colella, P.4
  • 32
    • 80052821943 scopus 로고    scopus 로고
    • A high-order finite-volume method for conservation laws on locally refined grids
    • MR 2012h:65181 Zbl 1252.65163
    • P. McCorquodale and P. Colella, A high-order finite-volume method for conservation laws on locally refined grids, Commun. Appl. Math. Comput. Sci. 6 (2011), no. 1, 1-25. MR 2012h:65181 Zbl 1252.65163
    • (2011) Commun. Appl. Math. Comput. Sci. , vol.6 , Issue.1 , pp. 1-25
    • McCorquodale, P.1    Colella, P.2
  • 33
    • 18544381244 scopus 로고    scopus 로고
    • A discontinuous Galerkin transport scheme on the cubed sphere
    • R. D. Nair, S. J. Thomas, and R. D. Loft, A discontinuous Galerkin transport scheme on the cubed sphere, Mon. Weather Rev. 133 (2005), no. 4, 814-828.
    • (2005) Mon. Weather Rev. , vol.133 , Issue.4 , pp. 814-828
    • Nair, R.D.1    Thomas, S.J.2    Loft, R.D.3
  • 34
    • 77956913688 scopus 로고    scopus 로고
    • A class of deformational flow test cases for linear transport problems on the sphere
    • MR 2011f:86010 Zbl 1282.86012
    • R. D. Nair and P. H. Lauritzen, A class of deformational flow test cases for linear transport problems on the sphere, J. Comput. Phys. 229 (2010), no. 23, 8868-8887. MR 2011f:86010 Zbl 1282.86012
    • (2010) J. Comput. Phys. , vol.229 , Issue.23 , pp. 8868-8887
    • Nair, R.D.1    Lauritzen, P.H.2
  • 35
    • 0022266328 scopus 로고
    • A climatology of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft
    • G. D. Nastrom and K. S. Gage, A climatology of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft, J. Atmos. Sci. 42 (1985), no. 9, 950-960.
    • (1985) J. Atmos. Sci. , vol.42 , Issue.9 , pp. 950-960
    • Nastrom, G.D.1    Gage, K.S.2
  • 36
    • 80052187053 scopus 로고    scopus 로고
    • A finite-volume dynamical core on the cubed-sphere grid
    • Numerical modeling of space plasma flows: ASTRONUM 2008 (Saint John, United States Virgin Islands, 2008) (N. V. Pogorelov, E. Audit, P. Colella, and G. P. Zank, eds.), ASP Conference Series, no. 406, Astronomical Society of the Pacific, San Francisco
    • W. M. Putman and S.-J. Lin, A finite-volume dynamical core on the cubed-sphere grid, Numerical modeling of space plasma flows: ASTRONUM 2008 (Saint John, United States Virgin Islands, 2008) (N. V. Pogorelov, E. Audit, P. Colella, and G. P. Zank, eds.), ASP Conference Series, no. 406, Astronomical Society of the Pacific, San Francisco, 2009, pp. 268-276.
    • (2009) , pp. 268-276
    • Putman, W.M.1    Lin, S.-J.2
  • 37
    • 35348927504 scopus 로고    scopus 로고
    • Finite-volume transport on various cubed-sphere grids
    • MR 2008j:86001 Zbl 1126.76038
    • W. M. Putman and S.-J. Lin, Finite-volume transport on various cubed-sphere grids, J. Comput. Phys. 227 (2007), no. 1, 55-78. MR 2008j:86001 Zbl 1126.76038
    • (2007) J. Comput. Phys. , vol.227 , Issue.1 , pp. 55-78
    • Putman, W.M.1    Lin, S.-J.2
  • 38
    • 84862226429 scopus 로고    scopus 로고
    • Experiments with different discretizations for the shallow-water equations on a sphere
    • A. Qaddouri, J. Pudykiewicz, M. Tanguay, C. Girard, and J. Côté, Experiments with different discretizations for the shallow-water equations on a sphere, Q. J. Roy. Meteor. Soc. 138 (2012), no. 665, 989-1003.
    • (2012) Q. J. Roy. Meteor. Soc. , vol.138 , Issue.665 , pp. 989-1003
    • Qaddouri, A.1    Pudykiewicz, J.2    Tanguay, M.3    Girard, C.4    Côté, J.5
  • 39
    • 57849126275 scopus 로고    scopus 로고
    • A multiresolution method for climate system modeling: application of spherical centroidal Voronoi tessellations
    • T. Ringler, L. Ju, and M. Gunzburger, A multiresolution method for climate system modeling: application of spherical centroidal Voronoi tessellations, Ocean Dynam. 58 (2008), no. 5-6, 475-498.
    • (2008) Ocean Dynam. , vol.58 , Issue.5-6 , pp. 475-498
    • Ringler, T.1    Ju, L.2    Gunzburger, M.3
  • 40
    • 80052417414 scopus 로고    scopus 로고
    • Exploring a multiresolution modeling approach within the shallow-water equations
    • T. D. Ringler, D. Jacobsen, M. Gunzburger, L. Ju, M. Duda, and W. Skamarock, Exploring a multiresolution modeling approach within the shallow-water equations, Mon. Weather Rev. 139 (2011), no. 11, 3348-3368.
    • (2011) Mon. Weather Rev. , vol.139 , Issue.11 , pp. 3348-3368
    • Ringler, T.D.1    Jacobsen, D.2    Gunzburger, M.3    Ju, L.4    Duda, M.5    Skamarock, W.6
  • 41
    • 0000050506 scopus 로고
    • Application of the semi-Lagrangian method to a spectral model of the shallow water equations
    • H. Ritchie, Application of the semi-Lagrangian method to a spectral model of the shallow water equations, Mon. Weather Rev. 116 (1988), no. 8, 1587-1598.
    • (1988) Mon. Weather Rev. , vol.116 , Issue.8 , pp. 1587-1598
    • Ritchie, H.1
  • 42
    • 0030096121 scopus 로고    scopus 로고
    • The "cubed sphere": a new method for the solution of partial differential equations in spherical geometry
    • MR 96k:86001
    • C. Ronchi, R. Iacono, and P. S. Paolucci, The "cubed sphere": a new method for the solution of partial differential equations in spherical geometry, J. Comput. Phys. 124 (1996), no. 1, 93-114. MR 96k:86001
    • (1996) J. Comput. Phys. , vol.124 , Issue.1 , pp. 93-114
    • Ronchi, C.1    Iacono, R.2    Paolucci, P.S.3
  • 43
    • 32644450000 scopus 로고    scopus 로고
    • A wave propagation method for hyperbolic systems on the sphere
    • MR 2007i:65065 Zbl 1089.65088
    • J. A. Rossmanith, A wave propagation method for hyperbolic systems on the sphere, J. Comput. Phys. 213 (2006), no. 2, 629-658. MR 2007i:65065 Zbl 1089.65088
    • (2006) J. Comput. Phys. , vol.213 , Issue.2 , pp. 629-658
    • Rossmanith, J.A.1
  • 44
    • 0000644762 scopus 로고
    • Conservative finite-difference approximations of the primitive equations on quasiuniform spherical grids
    • R. Sadourny, Conservative finite-difference approximations of the primitive equations on quasiuniform spherical grids, Mon. Weather Rev. 100 (1972), no. 2, 136-144.
    • (1972) Mon. Weather Rev. , vol.100 , Issue.2 , pp. 136-144
    • Sadourny, R.1
  • 45
    • 39549096002 scopus 로고    scopus 로고
    • Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations
    • MR 2009b:86006 Zbl 1132.86311
    • M. Satoh, T. Matsuno, H. Tomita, H. Miura, T. Nasuno, and S. Iga, Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations, J. Comput. Phys. 227 (2008), no. 7, 3486-3514. MR 2009b:86006 Zbl 1132.86311
    • (2008) J. Comput. Phys. , vol.227 , Issue.7 , pp. 3486-3514
    • Satoh, M.1    Matsuno, T.2    Tomita, H.3    Miura, H.4    Nasuno, T.5    Iga, S.6
  • 46
    • 0036792954 scopus 로고    scopus 로고
    • A new terrain-following vertical coordinate formulation for atmospheric prediction models
    • C. Schär, D. Leuenberger, O. Fuhrer, D. Lüthi, and C. Girard, A new terrain-following vertical coordinate formulation for atmospheric prediction models, Mon. Weather Rev. 130 (2002), no. 10, 2459-2480.
    • (2002) Mon. Weather Rev. , vol.130 , Issue.10 , pp. 2459-2480
    • Schär, C.1    Leuenberger, D.2    Fuhrer, O.3    Lüthi, D.4    Girard, C.5
  • 47
    • 11844275361 scopus 로고    scopus 로고
    • Evaluating mesoscale NWP models using kinetic energy spectra
    • W. C. Skamarock, Evaluating mesoscale NWP models using kinetic energy spectra, Mon. Weather Rev. 132 (2004), no. 12, 3019-3032.
    • (2004) Mon. Weather Rev. , vol.132 , Issue.12 , pp. 3019-3032
    • Skamarock, W.C.1
  • 48
    • 84861385507 scopus 로고    scopus 로고
    • A multiscale nonhydrostatic atmospheric model using centroidal Voronoi tesselations and C-grid staggering
    • W. C. Skamarock, J. B. Klemp, M. G. Duda, L. D. Fowler, S.-H. Park, and T. D. Ringler, A multiscale nonhydrostatic atmospheric model using centroidal Voronoi tesselations and C-grid staggering, Mon. Weather Rev. 140 (2012), no. 9, 3090-3105.
    • (2012) Mon. Weather Rev. , vol.140 , Issue.9 , pp. 3090-3105
    • Skamarock, W.C.1    Klemp, J.B.2    Duda, M.G.3    Fowler, L.D.4    Park, S.-H.5    Ringler, T.D.6
  • 49
    • 49749109144 scopus 로고    scopus 로고
    • A comparison of two shallow-water models with nonconforming adaptive grids
    • A. St-Cyr, C. Jablonowski, J. M. Dennis, H. M. Tufo, and S. J. Thomas, A comparison of two shallow-water models with nonconforming adaptive grids, Mon. Weather Rev. 136 (2008), no. 6, 1898-1922.
    • (2008) Mon. Weather Rev. , vol.136 , Issue.6 , pp. 1898-1922
    • St-Cyr, A.1    Jablonowski, C.2    Dennis, J.M.3    Tufo, H.M.4    Thomas, S.J.5
  • 50
    • 84856228752 scopus 로고    scopus 로고
    • Horizontal grids for global weather and climate prediction models: a review
    • A. Staniforth and J. Thuburn, Horizontal grids for global weather and climate prediction models: a review, Q. J. Roy. Meteor. Soc. 138 (2012), no. 662, 1-26.
    • (2012) Q. J. Roy. Meteor. Soc. , vol.138 , Issue.662 , pp. 1-26
    • Staniforth, A.1    Thuburn, J.2
  • 51
    • 0030640666 scopus 로고    scopus 로고
    • The spectral element method for the shallow water equations on the sphere
    • Zbl 0868.76072
    • M. Taylor, J. Tribbia, and M. Iskandarani, The spectral element method for the shallow water equations on the sphere, J. Comput. Phys. 130 (1997), no. 1, 92-108. Zbl 0868.76072
    • (1997) J. Comput. Phys. , vol.130 , Issue.1 , pp. 92-108
    • Taylor, M.1    Tribbia, J.2    Iskandarani, M.3
  • 52
    • 23844527361 scopus 로고    scopus 로고
    • The NCAR spectral element climate dynamical core: semiimplicit Eulerian formulation
    • MR 2007b:86019 Zbl 1203.86013
    • S. J. Thomas and R. D. Loft, The NCAR spectral element climate dynamical core: semiimplicit Eulerian formulation, J. Sci. Comput. 25 (2005), no. 1-2, 307-322. MR 2007b:86019 Zbl 1203.86013
    • (2005) J. Sci. Comput. , vol.25 , Issue.1-2 , pp. 307-322
    • Thomas, S.J.1    Loft, R.D.2
  • 53
    • 0037054390 scopus 로고    scopus 로고
    • Vorticity-divergence semi-Lagrangian shallow-water model of the sphere based on compact finite differences
    • MR 2003e:76085a Zbl 1060.76086
    • M. A. Tolstykh, Vorticity-divergence semi-Lagrangian shallow-water model of the sphere based on compact finite differences, J. Comput. Phys. 179 (2002), no. 1, 180-200. MR 2003e:76085a Zbl 1060.76086
    • (2002) J. Comput. Phys. , vol.179 , Issue.1 , pp. 180-200
    • Tolstykh, M.A.1
  • 54
    • 84859213360 scopus 로고    scopus 로고
    • Vorticity-divergence mass-conserving semi-Lagrangian shallow-water model using the reduced grid on the sphere
    • MR 2911791
    • M. A. Tolstykh and V. V. Shashkin, Vorticity-divergence mass-conserving semi-Lagrangian shallow-water model using the reduced grid on the sphere, J. Comput. Phys. 231 (2012), no. 11, 4205-4233. MR 2911791
    • (2012) J. Comput. Phys. , vol.231 , Issue.11 , pp. 4205-4233
    • Tolstykh, M.A.1    Shashkin, V.V.2
  • 55
    • 84905004987 scopus 로고    scopus 로고
    • Understanding the treatment of waves in atmospheric models, I: The shortest resolved waves of the 1D linearized shallow-water equations
    • P. A. Ullrich, Understanding the treatment of waves in atmospheric models, I: The shortest resolved waves of the 1D linearized shallow-water equations, Q. J. Roy. Meteor. Soc. 140 (2014), no. 682, 1426-1440.
    • (2014) Q. J. Roy. Meteor. Soc. , vol.140 , Issue.682 , pp. 1426-1440
    • Ullrich, P.A.1
  • 56
    • 84861785780 scopus 로고    scopus 로고
    • MCore: a non-hydrostatic atmospheric dynamical core utilizing high-order finite-volume methods
    • MR 2929934 Zbl 1247.86007
    • P. A. Ullrich and C. Jablonowski, MCore: a non-hydrostatic atmospheric dynamical core utilizing high-order finite-volume methods, J. Comput. Phys. 231 (2012), no. 15, 5078-5108. MR 2929934 Zbl 1247.86007
    • (2012) J. Comput. Phys. , vol.231 , Issue.15 , pp. 5078-5108
    • Ullrich, P.A.1    Jablonowski, C.2
  • 57
    • 77953649561 scopus 로고    scopus 로고
    • High-order finite-volume methods for the shallow-water equations on the sphere
    • MR 2011d:76069
    • P. A. Ullrich, C. Jablonowski, and B. van Leer, High-order finite-volume methods for the shallow-water equations on the sphere, J. Comput. Phys. 229 (2010), no. 17, 6104-6134. MR 2011d:76069
    • (2010) J. Comput. Phys. , vol.229 , Issue.17 , pp. 6104-6134
    • Ullrich, P.A.1    Jablonowski, C.2    van Leer, B.3
  • 58
    • 84926680307 scopus 로고    scopus 로고
    • US climate variability & predictability program science plan
    • US CLIVAR Project Office
    • US CLIVAR Scientific Steering Committee, US climate variability & predictability program science plan, Tech. Report 2013-7, US CLIVAR Project Office, 2013.
    • (2013)
  • 59
    • 53749092407 scopus 로고    scopus 로고
    • The Ocean-Land-Atmosphere Model (OLAM). II: Formulation and tests of the nonhydrostatic dynamic core
    • R. L. Walko and R. Avissar, The Ocean-Land-Atmosphere Model (OLAM), II: Formulation and tests of the nonhydrostatic dynamic core, Mon. Weather Rev. 136 (2008), no. 11, 4045-4062.
    • (2008) Mon. Weather Rev. , vol.136 , Issue.11 , pp. 4045-4062
    • Walko, R.L.1    Avissar, R.2
  • 60
    • 84867977546 scopus 로고    scopus 로고
    • Controlling the computational modes of the arbitrarily structured C grid
    • H. Weller, Controlling the computational modes of the arbitrarily structured C grid, Mon. Weather Rev. 140 (2012), no. 10, 3220-3234.
    • (2012) Mon. Weather Rev , vol.140 , Issue.10 , pp. 3220-3234
    • Weller, H.1
  • 61
    • 0001440358 scopus 로고
    • A standard test set for numerical approximations to the shallow water equations in spherical geometry
    • MR 93d:86006 Zbl 0756.76060
    • D. L. Williamson, J. B. Drake, J. J. Hack, R. Jakob, and P. N. Swarztrauber, A standard test set for numerical approximations to the shallow water equations in spherical geometry, J. Comput. Phys. 102 (1992), no. 1, 211-224. MR 93d:86006 Zbl 0756.76060
    • (1992) J. Comput. Phys. , vol.102 , Issue.1 , pp. 211-224
    • Williamson, D.L.1    Drake, J.B.2    Hack, J.J.3    Jakob, R.4    Swarztrauber, P.N.5
  • 63
    • 70149116559 scopus 로고    scopus 로고
    • An inherently massconserving semi-implicit semi-Lagrangian discretisation of the shallow-water equations on the sphere
    • M. Zerroukat, N. Wood, A. Staniforth, A. A. White, and J. Thuburn, An inherently massconserving semi-implicit semi-Lagrangian discretisation of the shallow-water equations on the sphere, Q. J. Roy. Meteor. Soc. 135 (2009), no. 642, 1104-1116.
    • (2009) Q. J. Roy. Meteor. Soc. , vol.135 , Issue.642 , pp. 1104-1116
    • Zerroukat, M.1    Wood, N.2    Staniforth, A.3    White, A.A.4    Thuburn, J.5


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