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Volumn 80, Issue , 2011, Pages 251-311

Emerging Numerical Methods for Atmospheric Modeling

Author keywords

[No Author keywords available]

Indexed keywords

GALERKIN METHODS; NUMERICAL METHODS; STORMS;

EID: 85028878087     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-11640-7_9     Document Type: Chapter
Times cited : (15)

References (81)
  • 1
    • 0000094119 scopus 로고
    • Computational design of the basic dynamical process of the ucla general circulation model
    • In: Chang J
    • Arakawa A, Lamb VR (1977) Computational design of the basic dynamical process of the UCLA general circulation model. In: Chang J (ed) Methods in Computational Physics, Academic Press, pp 173-265
    • (1977) Methods in Computational Physics, Academic Press , pp. 173-265
    • Arakawa, A.1    Lamb, V.R.2
  • 3
    • 34548438386 scopus 로고    scopus 로고
    • Sub-cell based indicator for troubled zones in rkdg schemes and a novel class of hybrid rkdg+hweno schemes
    • Balsara DS, Altman C, Munz CD, Dumbser M (2007) Sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. J Comput Phys 226(1):586-620
    • (2007) J Comput Phys , vol.226 , Issue.1 , pp. 586-620
    • Balsara, D.S.1    Altman, C.2    Munz, C.D.3    Dumbser, M.4
  • 4
    • 0001416032 scopus 로고    scopus 로고
    • A high-order accurate discontinuous finite element method for the numerical solution of the compressible navier-stokes equations
    • Bassi F, Rebay S (1997) A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. J Comput Phys 131:267-279
    • (1997) J Comput Phys , vol.131 , pp. 267-279
    • Bassi, F.1    Rebay, S.2
  • 5
    • 67649973934 scopus 로고    scopus 로고
    • High-order accurate p-multigrid discontinuous galerkin solution of the euler equations
    • Bassi F, Ghidoni A, Rebay S, Tesini P (2009) High-order accurate p-multigrid discontinuous Galerkin solution of the Euler equations. Int J Numer Meth Fluids 60:847-865, doi:10.1002/fld.1917
    • (2009) Int J Numer Meth Fluids , vol.60 , pp. 847-865
    • Bassi, F.1    Ghidoni, A.2    Rebay, S.3    Tesini, P.4
  • 6
    • 0028407037 scopus 로고
    • Parallel adaptive finite-element methods for conservation laws
    • Biswas R, Devine K, Flaherty J (1994) Parallel adaptive finite-element methods for conservation laws. Appl Num Math 14:255-283
    • (1994) Appl Num Math , vol.14 , pp. 255-283
    • Biswas, R.1    Devine, K.2    Flaherty, J.3
  • 7
    • 33749583060 scopus 로고
    • Flux-corrected transport I. Sashsta, a fluid transport algorithm that works
    • Boris JP, Book DL (1973) Flux-Corrected Transport. I. SASHSTA, a fluid transport algorithm that works. J Comput Phys 11(1):38-69
    • (1973) J Comput Phys , vol.11 , Issue.1 , pp. 38-69
    • Boris, J.P.1    Book, D.L.2
  • 10
    • 41249090263 scopus 로고    scopus 로고
    • Shallow water model on cubed-sphere by multi-moment finite volume method
    • Chen C, Xiao F (2008) Shallow water model on cubed-sphere by multi-moment finite volume method. J Comput Phys 227(10):5019-5044
    • (2008) J Comput Phys , vol.227 , Issue.10 , pp. 5019-5044
    • Chen, C.1    Xiao, F.2
  • 11
    • 34250831446 scopus 로고    scopus 로고
    • A spectral finite volume transport scheme on the cubed-sphere
    • Cheruvu V, Nair RD, Tufo HM (2007) A spectral finite volume transport scheme on the cubed-sphere. Appl Num Math 57:1021-1032
    • (2007) Appl Num Math , vol.57 , pp. 1021-1032
    • Cheruvu, V.1    Nair, R.D.2    Tufo, H.M.3
  • 12
    • 84966246413 scopus 로고
    • Tvb runge-kutta local projection discontinuous galerkin finite element method for conservative laws ii
    • Cockburn B, Shu CW (1989) TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservative laws II. Math Comp 52:411-435
    • (1989) Math Comp , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.W.2
  • 13
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous galerkin method for time-dependent convection-diffusion schemes
    • Cockburn B, Shu CW (1998) The local discontinuous Galerkin method for time-dependent convection-diffusion schemes. SIAM J Numer Anal 35:2440-2463
    • (1998) SIAM J Numer Anal , vol.35 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.W.2
  • 14
    • 0000076512 scopus 로고    scopus 로고
    • The runge-kutta discontinuous galerkin method for convection-dominated problems
    • Cockburn B, Shu CW (2001) The Runge-Kutta discontinuous Galerkin method for convection-dominated problems. J Sci Computing 16:173-261
    • (2001) J Sci Computing , vol.16 , pp. 173-261
    • Cockburn, B.1    Shu, C.W.2
  • 15
    • 84966261380 scopus 로고
    • Tvb runge-kutta local projection discontinuous galerkin finite element method for conservation laws iv
    • Cockburn B, Hou S, Shu CW (1990) TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV. Math Comp 54:545-581
    • (1990) Math Comp , vol.54 , pp. 545-581
    • Cockburn, B.1    Hou, S.2    Shu, C.W.3
  • 17
    • 0002084927 scopus 로고    scopus 로고
    • The development of discontinuous galerkin methods
    • In: Cockburn B, Karniadakis GE, Shu CW, Theory, Computation, and Applications. Lecture Notes in Computational Science and Engineering, vol, Springer
    • Cockburn B, Karniadakis GE, Shu CW (2000) The development of discontinuous Galerkin methods. In: Cockburn B, Karniadakis GE, Shu CW (eds) Discontinuous Galerkin Methods: Theory, Computation, and Applications. Lecture Notes in Computational Science and Engineering, vol 11, Springer, 470 pp.
    • (2000) Discontinuous Galerkin Methods , vol.11 , pp. 470
    • Cockburn, B.1    Karniadakis, G.E.2    Shu, C.W.3
  • 18
    • 34547419627 scopus 로고
    • The piecewise parabolic method (Ppm) for gas-dynamical simulations
    • Colella P, Woodward PR (1984) The Piecewise Parabolic Method (PPM) for gas-dynamical simulations. J Comput Phys 54:174-201
    • (1984) J Comput Phys , vol.54 , pp. 174-201
    • Colella, P.1    Woodward, P.R.2
  • 20
    • 0022172256 scopus 로고
    • Tropical cyclone motion in a nondivergent barotropic model
    • DeMaria M (1985) Tropical cyclone motion in a nondivergent barotropic model. Mon Wea Rev 113:119-1210
    • (1985) Mon Wea Rev , vol.113 , pp. 119-1210
    • De Maria, M.1
  • 21
  • 22
    • 85028887494 scopus 로고    scopus 로고
    • High-Order Methods for Incompressible Fluid Flow
    • Deville MO, Fisher PF, Mund EM (2002) High-Order Methods for Incompressible Fluid Flow.
    • (2002)
    • Deville, M.O.1    Fisher, P.F.2    Mund, E.M.3
  • 24
    • 64049109873 scopus 로고    scopus 로고
    • Preconditioning methods for discontinuous galerkin solutions of the compressible navier-stokes equations
    • Diosady LT, Darmofal DL (2009) Preconditioning methods for discontinuous Galerkin solutions of the compressible Navier-Stokes equations. J Comput Phys 228:3835-3917
    • (2009) J Comput Phys , vol.228 , pp. 3835-3917
    • Diosady, L.T.1    Darmofal, D.L.2
  • 25
    • 8744312833 scopus 로고    scopus 로고
    • An initial-value problem to test numerical models of the shallow water equations
    • Galewsky J, Polvani LM, Scott RK (2004) An initial-value problem to test numerical models of the shallow water equations. Tellus 56A:429-440
    • (2004) Tellus , vol.56A , pp. 429-440
    • Galewsky, J.1    Polvani, L.M.2    Scott, R.K.3
  • 26
    • 66149134905 scopus 로고    scopus 로고
    • An improvement of classical slope limiters for high-order discontinuous galerkin method
    • Ghostine R, Kessewani G, Mosé R, Vazquez J, Ghenaim A (2009) An improvement of classical slope limiters for high-order discontinuous Galerkin method. Int J Numer Meth Fluids 59: 423-442
    • (2009) Int J Numer Meth Fluids , vol.59 , pp. 423-442
    • Ghostine, R.1    Kessewani, G.2    Mosé, R.3    Vazquez, J.4    Ghenaim, A.5
  • 27
    • 40249104589 scopus 로고    scopus 로고
    • A study of spectral element and discontinuous galerkin methods for the navier-stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases
    • Giraldo FX, Restelli M (2008) A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases. J Comput Phys 227:3849-3877
    • (2008) J Comput Phys , vol.227 , pp. 3849-3877
    • Giraldo, F.X.1    Restelli, M.2
  • 28
    • 0037144878 scopus 로고    scopus 로고
    • Nodal high-order discontinous galerkin methods for the shallow water equations
    • Giraldo FX, Hesthaven JS, Wartburton T (2002) Nodal high-order discontinous Galerkin methods for the shallow water equations. J Comput Phys 181:499-525
    • (2002) J Comput Phys , vol.181 , pp. 499-525
    • Giraldo, F.X.1    Hesthaven, J.S.2    Wartburton, T.3
  • 29
    • 0000935266 scopus 로고
    • A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics
    • Godunov SK (1959) A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics. Mat Sb 47:271-306
    • (1959) Mat Sb , vol.47 , pp. 271-306
    • Godunov, S.K.1
  • 30
    • 0035273564 scopus 로고    scopus 로고
    • Strong stability preserving high-order time discretization methods
    • Gottlieb S, Shu CW, Tadmor E (2001) Strong stability preserving high-order time discretization methods. SIAM Rev 43:89-112
    • (2001) SIAM Rev , vol.43 , pp. 89-112
    • Gottlieb, S.1    Shu, C.W.2    Tadmor, E.3
  • 31
    • 33749725182 scopus 로고
    • Uniformly high order essentially nonoscillatory schemes, iii
    • Harten A, Engquist B, Osher S, Chakravarthy S (1987) Uniformly high order essentially nonoscillatory schemes, III. J Comput Phys 71:231-303
    • (1987) J Comput Phys , vol.71 , pp. 231-303
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 33
    • 14744303015 scopus 로고    scopus 로고
    • Comparison of advection schemes for highorder h-p finite element and finite volume methods
    • Iskandarani M, Levin J, Choi BJ, Haidgovel D (2005) Comparison of advection schemes for highorder h-p finite element and finite volume methods. Ocean Modeling 10:233-252
    • (2005) Ocean Modeling , vol.10 , pp. 233-252
    • Iskandarani, M.1    Levin, J.2    Choi, B.J.3    Haidgovel, D.4
  • 34
    • 34547533181 scopus 로고    scopus 로고
    • Application of implicit-explicit high order runge-kutta methods to discontinuous-galerkin schemes
    • Kanevsky A, Carpenter MH, Gottlieb D, Hasthevan JS (2007) Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes. J Comput Phys 225: 1753-1781
    • (2007) J Comput Phys , vol.225 , pp. 1753-1781
    • Kanevsky, A.1    Carpenter, M.H.2    Gottlieb, D.3    Hasthevan, J.S.4
  • 35
    • 46049095444 scopus 로고    scopus 로고
    • Spectral/hp element methods for computational fluid dynamics
    • ISBN 0-19-852869-8
    • Karniadakis GE, Sherwin S (2005) Spectral/hp Element Methods for Computational Fluid Dynamics. Oxford University Press, ISBN 0-19-852869-8, 657 pp.
    • (2005) Oxford University Press , pp. 657
    • Karniadakis, G.E.1    Sherwin, S.2
  • 36
    • 33845968162 scopus 로고    scopus 로고
    • An arbitrary high-order discontinuous galerkin method for elastic waves on unstructured meshes-iii
    • Käser M, Dumbser M, Puente J, Igel H (2007) An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes-III. Geophys J Int 168:224-242
    • (2007) Geophys J Int , vol.168 , pp. 224-242
    • Käser, M.1    Dumbser, M.2    Puente, J.3    Igel, H.4
  • 38
    • 78651357257 scopus 로고    scopus 로고
    • On the quadrature and weak form choices in collocation type discontinuous galerkin spectral element methods
    • Kopriva DA, Gassner G (2010) On the quadrature and weak form choices in collocation type discontinuous Galerkin spectral element methods. J Sci Comput 44:136-155
    • (2010) J Sci Comput , vol.44 , pp. 136-155
    • Kopriva, D.A.1    Gassner, G.2
  • 39
    • 34548444530 scopus 로고    scopus 로고
    • Limiters for high-order dicontinuous galerkin methods
    • Krivodonova L (2007) Limiters for high-order dicontinuous Galerkin methods. J Comput Phys 226:879-896
    • (2007) J Comput Phys , vol.226 , pp. 879-896
    • Krivodonova, L.1
  • 40
    • 63249134383 scopus 로고    scopus 로고
    • Dynamic p-adaptive runge-kutta discontinuous galerkin methods for the shallow water equations
    • Kubatko EJ, Bunya S, Dawson C, Westerink JJ (2009) Dynamic p-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations. Comput Methods Appl Mech Engrg 198:1766-1774
    • (2009) Comput Methods Appl Mech Engrg , vol.198 , pp. 1766-1774
    • Kubatko, E.J.1    Bunya, S.2    Dawson, C.3    Westerink, J.J.4
  • 41
    • 72449122767 scopus 로고    scopus 로고
    • A conservative semi-lagrangian multi-tracer transport scheme (Cslam) on the cubed-sphere grid
    • Lauritzen PH, Nair RD, Ullrich PA (2010) A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid. J Comput Phys 229:1401-1424
    • (2010) J Comput Phys , vol.229 , pp. 1401-1424
    • Lauritzen, P.H.1    Nair, R.D.2    Ullrich, P.A.3
  • 42
    • 85028817675 scopus 로고    scopus 로고
    • A discontinuous galerkin method for shallow water equations in spherical traingular coordinates
    • Luter M, Giraldo FX, Handorf D, Dethloff K (2008) A discontinuous Galerkin method for shallow water equations in spherical traingular coordinates. J Comput Phys 227:10, 226-10, 242
    • (2008) J Comput Phys , vol.227-242 , Issue.10 , pp. 226-310
    • Läuter, M.1    Giraldo, F.X.2    Handorf, D.3    Dethloff, K.4
  • 43
    • 34249988639 scopus 로고
    • Towards the ultimate conservative difference scheme II. Monotonicity and conservation combined in a second-order scheme
    • van Leer B (1974) Towards the ultimate conservative difference scheme II. Monotonicity and conservation combined in a second-order scheme. J Comput Phys 14:361-370
    • (1974) J Comput Phys , vol.14 , pp. 361-370
    • Van Leer, B.1
  • 44
    • 49449129017 scopus 로고
    • Towards the ultimate conservative difference scheme Iv. A new approach to numerical convection
    • van Leer B (1977) Towards the ultimate conservative difference scheme IV. A new approach to numerical convection. J Comput Phys 23:276-299
    • (1977) J Comput Phys , vol.23 , pp. 276-299
    • Van Leer, B.1
  • 46
    • 21244460410 scopus 로고    scopus 로고
    • Finite volume methods for hyperbolic problems
    • ISBN 0-19-00924-3
    • LeVeque RJ (2002) Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, ISBN 0-19-00924-3, 558 pp.
    • (2002) Cambridge University Press , pp. 558
    • Le Veque, R.J.1
  • 48
    • 34250633578 scopus 로고    scopus 로고
    • High-order galerkin methods for scalable global atmospheric models
    • Levy MN, Nair RD, Tufo HM (2007) High-order Galerkin methods for scalable global atmospheric models. Computers & Geosciences 33(8):1022-1035
    • (2007) Computers & Geosciences , vol.33 , Issue.8 , pp. 1022-1035
    • Levy, M.N.1    Nair, R.D.2    Tufo, H.M.3
  • 49
    • 66149105965 scopus 로고    scopus 로고
    • A high-order element-based galerkin method for the barotropic vorticity equation
    • Levy MN, Nair RD, Tufo HM (2009) A high-order element-based Galerkin method for the barotropic vorticity equation. Int J Numer Meth Fluids 59(12):1369-1387
    • (2009) Int J Numer Meth Fluids , vol.59 , Issue.12 , pp. 1369-1387
    • Levy, M.N.1    Nair, R.D.2    Tufo, H.M.3
  • 50
    • 0000592595 scopus 로고
    • Weighted essentially non-oscillatory schemes
    • Liu XD, Osher S, Chan T (1994) Weighted essentially non-oscillatory schemes. J Comput Phys 115:200-212
    • (1994) J Comput Phys , vol.115 , pp. 200-212
    • Liu, X.D.1    Osher, S.2    Chan, T.3
  • 52
    • 34447291101 scopus 로고    scopus 로고
    • A hermite weno-based limiter for discontinuous galerkin method on unstructured grids
    • Luo H, Baum JD, Lhner R (2007) A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids. J Comput Phys 225(1):686-713
    • (2007) J Comput Phys , vol.225 , Issue.1 , pp. 686-713
    • Luo, H.1    Baum, J.D.2    Löhner, R.3
  • 53
    • 39549091063 scopus 로고    scopus 로고
    • The origins of computer weather prediction and climate modeling
    • Lynch P (2008) The origins of computer weather prediction and climate modeling. J Comput Phys 227:3431-3444
    • (2008) J Comput Phys , vol.227 , pp. 3431-3444
    • Lynch, P.1
  • 54
    • 70449093424 scopus 로고    scopus 로고
    • Diffusion experiments with a global discontinuous galerkin shallow-water model
    • Nair RD (2009) Diffusion experiments with a global discontinuous Galerkin shallow-water model. MonWeaRev 137:3339-3350
    • (2009) Monwearev , vol.137 , pp. 3339-3350
    • Nair, R.D.1
  • 55
    • 77956913688 scopus 로고    scopus 로고
    • A class of deformational flow test cases for linear transport problems on the sphere
    • Nair RD, Lauritzen PH (2010) A class of deformational flow test cases for linear transport problems on the sphere. J Comput Phys 229:8868-8887
    • (2010) J Comput Phys , vol.229 , pp. 8868-8887
    • Nair, R.D.1    Lauritzen, P.H.2
  • 56
    • 18544370717 scopus 로고    scopus 로고
    • A discontinuous galerkin global shallow water model
    • Nair RD, Thomas SJ, Loft RD (2005a) A discontinuous Galerkin global shallow water model. Mon Wea Rev 133:876-888
    • (2005) Mon Wea Rev , vol.133 , pp. 876-888
    • Nair, R.D.1    Thomas, S.J.2    Loft, R.D.3
  • 57
    • 18544381244 scopus 로고    scopus 로고
    • A discontinuous galerkin transport scheme on the cubed-sphere
    • Nair RD, Thomas SJ, Loft RD (2005b) A discontinuous Galerkin transport scheme on the cubed-sphere. MonWeaRev 133:814-828
    • (2005) Monwearev , vol.133 , pp. 814-828
    • Nair, R.D.1    Thomas, S.J.2    Loft, R.D.3
  • 58
    • 56149090550 scopus 로고    scopus 로고
    • Computational aspects of a scalable high-order discontinuous galerkin atmospheric dynamical core
    • Nair RD, Choi HW, Tufo HM (2009) Computational aspects of a scalable high-order discontinuous Galerkin atmospheric dynamical core. Computers and Fluids 38:309-319
    • (2009) Computers and Fluids , vol.38 , pp. 309-319
    • Nair, R.D.1    Choi, H.W.2    Tufo, H.M.3
  • 59
    • 0001759056 scopus 로고
    • Numerical advection by conservation of second-order moments
    • Prather MJ (1986) Numerical advection by conservation of second-order moments. J Geophys Res 91:6671-6681
    • (1986) J Geophys Res , vol.91 , pp. 6671-6681
    • Prather, M.J.1
  • 60
    • 29144512019 scopus 로고    scopus 로고
    • A numerical study for the performance of the runge-kutta discontinuous galerkin method based on different numerical fluxes
    • Qiu J, Khoo BC, Shu CW (2006) A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. J Comput Phys 212(2):540-565
    • (2006) J Comput Phys , vol.212 , Issue.2 , pp. 540-565
    • Qiu, J.1    Khoo, B.C.2    Shu, C.W.3
  • 61
    • 13644274379 scopus 로고    scopus 로고
    • Hermite weno schemes and their application as limiters for runge-kutta discontinuous galerkin methods ii: Two dimesional case
    • Qui J, Shu CW (2005a) Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin methods II: Two dimesional case. Computers & Fluids 34:642-663
    • (2005) Computers & Fluids , vol.34 , pp. 642-663
    • Qui, J.1    Shu, C.W.2
  • 62
    • 19644381369 scopus 로고    scopus 로고
    • Runge-kutta discontinuous galerkin methods using weno limiters
    • Qui J, Shu CW (2005b) Runge-Kutta discontinuous Galerkin methods using WENO limiters. SIAM J Sci Computing 26:907-927
    • (2005) SIAM J Sci Computing , vol.26 , pp. 907-927
    • Qui, J.1    Shu, C.W.2
  • 63
    • 0030452194 scopus 로고    scopus 로고
    • A global shallow water model using an expanded spherical cube
    • Rancic M, Purser R, Mesinger F (1996) A global shallow water model using an expanded spherical cube. Q J R Meteorol Soc 122:959-982
    • (1996) Q J R Meteorol Soc , vol.122 , pp. 959-982
    • Rancic, M.1    Purser, R.2    Mesinger, F.3
  • 66
    • 77954393950 scopus 로고    scopus 로고
    • A conservative discontinuous galerkin semi-implicit formulation for the navier-stokes equations in nonhydrostatic mesoscale modeling
    • Restelli M, Giraldo FX (2009) A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling. SIAM J Sci Comput 31:2231-2257
    • (2009) SIAM J Sci Comput , vol.31 , pp. 2231-2257
    • Restelli, M.1    Giraldo, F.X.2
  • 67
    • 78649630284 scopus 로고    scopus 로고
    • Discontinuous galerkin method for solving elliptic and parabolic equations: Theory and implementation
    • ISBN 978-0-898716-56-6
    • Rivire B (2008) Discontinuous Galerkin Method for Solving Elliptic and Parabolic Equations: Theory and Implementation. SIAM, ISBN 978-0-898716-56-6, 187 pp.
    • (2008) SIAM , pp. 187
    • Rivière, B.1
  • 68
    • 0000644762 scopus 로고
    • Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids
    • Sadourny R (1972) Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids. MonWeaRev 100:136-144
    • (1972) Monwearev , vol.100 , pp. 136-144
    • Sadourny, R.1
  • 70
    • 0019711229 scopus 로고
    • An energy and angular-momentum conserving vertical finite-difference scheme and hybrid vertical coordinates
    • Simmons AJ, Burridge DM (1981) An energy and angular-momentum conserving vertical finite-difference scheme and hybrid vertical coordinates. Mon Wea Rev 109:758-766
    • (1981) Mon Wea Rev , vol.109 , pp. 758-766
    • Simmons, A.J.1    Burridge, D.M.2
  • 71
    • 0020894170 scopus 로고
    • The multi-dimensional crowley advection scheme
    • Smolarkiewicz PK (1982) The multi-dimensional Crowley advection scheme. Mon Wea Rev 110:1968-1983
    • (1982) Mon Wea Rev , vol.110 , pp. 1968-1983
    • Smolarkiewicz, P.K.1
  • 72
    • 0001097416 scopus 로고
    • A fully muliti-dimensional positive definite advection transport algorithm with small implicit diffusion
    • Smolarkiewicz PK (1984) A fully muliti-dimensional positive definite advection transport algorithm with small implicit diffusion. J Comput Phys 54:325-362
    • (1984) J Comput Phys , vol.54 , pp. 325-362
    • Smolarkiewicz, P.K.1
  • 74
    • 49749109144 scopus 로고    scopus 로고
    • A comparison of two shallow water models with nonconforming advaptive grids
    • St-Cyr A, Jablonowski C, Dennis JM, Tufo HM, Thomas SJ (2008) A comparison of two shallow water models with nonconforming advaptive grids. Mon Wea Rev 136:1898-1922
    • (2008) Mon Wea Rev , vol.136 , pp. 1898-1922
    • St-Cyr, A.1    Jablonowski, C.2    Dennis, J.M.3    Tufo, H.M.4    Thomas, S.J.5
  • 75
    • 0000563582 scopus 로고
    • Comments on “smolarkiewicz’s deformational flow”
    • Staniforth A, CotJ, Pudickiewicz J (1987) Comments on “Smolarkiewicz&s deformational flow”. Mon Wea Rev 115:894-900
    • (1987) Mon Wea Rev , vol.115 , pp. 894-900
    • Staniforth, A.1    Coté, J.2    Pudickiewicz, J.3
  • 76
    • 0034879509 scopus 로고    scopus 로고
    • Positivity preserving schemes in multidimensions
    • Suresh A (2000) Positivity preserving schemes in multidimensions. SIAM J Sci Comput 22:1184-1198
    • (2000) SIAM J Sci Comput , vol.22 , pp. 1184-1198
    • Suresh, A.1
  • 77
    • 84889809594 scopus 로고    scopus 로고
    • Riemann solvers and numerical methods for fluid dynamics
    • 2nd Ed. Springer-Verlag, New York
    • Toro EF (1999) Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction (2nd Ed.). Springer-Verlag, New York
    • (1999) A Practical Introduction
    • Toro, E.F.1
  • 79
    • 84871955773 scopus 로고    scopus 로고
    • Atmopsheric and ocenaic fluid dynamics
    • ISBN 978-0-521-84969-2
    • Vallis GK (2006) Atmopsheric and Ocenaic Fluid Dynamics. Cambridge University Press, ISBN 978-0-521-84969-2, 745 pp.
    • (2006) Cambridge University Press , pp. 745
    • Vallis, G.K.1
  • 80
    • 34848828535 scopus 로고    scopus 로고
    • The evolution of dynamical cores for global atmospheric models
    • Williamson DL (2007) The evolution of dynamical cores for global atmospheric models. J Meteo Soc of Japan 85:241-269
    • (2007) J Meteo Soc of Japan , vol.85 , pp. 241-269
    • Williamson, D.L.1
  • 81
    • 0001440358 scopus 로고
    • A standard test set for numerical approximations to the shallow water equations in spherical geometry
    • Williamson DL, Drake JB, Hack JJ, Jakob R, Swarztrauber PN (1992) A standard test set for numerical approximations to the shallow water equations in spherical geometry. J Comput Phys 102:211-224
    • (1992) J Comput Phys , vol.102 , pp. 211-224
    • Williamson, D.L.1    Drake, J.B.2    Hack, J.J.3    Jakob, R.4    Swarztrauber, P.N.5


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