메뉴 건너뛰기




Volumn 52, Issue 4, 2005, Pages 429-448

Nonlinear operator integration factor splitting for the shallow water equations

Author keywords

High order; Integration factor; Multistep methods; Spectral elements

Indexed keywords

HIGH-ORDER; INTEGRATION FACTOR; MULTISTEP METHODS; SPECTRAL ELEMENTS;

EID: 11444261639     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2004.08.038     Document Type: Article
Times cited : (14)

References (36)
  • 2
    • 0000016565 scopus 로고    scopus 로고
    • The cost-effectiveness of semi-Lagrangian advection
    • P. Bartello, and S.J. Thomas The cost-effectiveness of semi-Lagrangian advection Mon. Wea. Rev. 124 12 1996 2883 2897
    • (1996) Mon. Wea. Rev. , vol.124 , Issue.12 , pp. 2883-2897
    • Bartello, P.1    Thomas, S.J.2
  • 3
    • 0031430049 scopus 로고    scopus 로고
    • A high-order characteristics/finite element method for the incompressible Navier-Stokes equations
    • K. Boukir, Y. Maday, B. Métivet, and E. Razafindrakoto A high-order characteristics/finite element method for the incompressible Navier-Stokes equations Internat. J. Numer. Methods Fluids 25 1997 1421 1454
    • (1997) Internat. J. Numer. Methods Fluids , vol.25 , pp. 1421-1454
    • Boukir, K.1    Maday, Y.2    Métivet, B.3    Razafindrakoto, E.4
  • 6
    • 0001111470 scopus 로고
    • A generalized family of schemes that eliminates the spurious resonant response of semi-Lagrangian schemes to orographic forcing
    • J. Côté, S. Gravel, and A. Staniforth A generalized family of schemes that eliminates the spurious resonant response of semi-Lagrangian schemes to orographic forcing Mon. Wea. Rev. 123 1995 3605 3613 Notes and correspondence
    • (1995) Mon. Wea. Rev. , vol.123 , pp. 3605-3613
    • Côté, J.1    Gravel, S.2    Staniforth, A.3
  • 9
    • 0003250934 scopus 로고    scopus 로고
    • Numerical Methods for Wave Equations in Geophysical Fluid Dynamics
    • Springer Berlin
    • D.R. Durran Numerical Methods for Wave Equations in Geophysical Fluid Dynamics Texts in Applied Mathematics vol. 32 1999 Springer Berlin
    • (1999) Texts in Applied Mathematics , vol.32
    • Durran, D.R.1
  • 10
    • 0000504721 scopus 로고    scopus 로고
    • Convergence analysis for a class of high-order semi-Lagrangian advection schemes
    • M. Falcone, and R. Ferretti Convergence analysis for a class of high-order semi-Lagrangian advection schemes SIAM J. Numer. Anal. 35 3 1998 909 940
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.3 , pp. 909-940
    • Falcone, M.1    Ferretti, R.2
  • 13
    • 0000807869 scopus 로고    scopus 로고
    • The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids
    • F.X. Giraldo The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids J. Comput. Phys. 147 1998 114 146
    • (1998) J. Comput. Phys. , vol.147 , pp. 114-146
    • Giraldo, F.X.1
  • 14
    • 0141850274 scopus 로고    scopus 로고
    • A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations
    • F.X. Giraldo, J.B. Perot, and P.F. Fischer A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations J. Comput. Phys. 190 2003 623 650
    • (2003) J. Comput. Phys. , vol.190 , pp. 623-650
    • Giraldo, F.X.1    Perot, J.B.2    Fischer, P.F.3
  • 15
    • 1842587745 scopus 로고    scopus 로고
    • A scalable spectral element Eulerian atmospheric model (SEE-AM) for NWP: Dynamical core
    • F.X. Giraldo, and T.E.R. Rosmond A scalable spectral element Eulerian atmospheric model (SEE-AM) for NWP: Dynamical core Mon. Wea. Rev. 132 2004 133 153
    • (2004) Mon. Wea. Rev. , vol.132 , pp. 133-153
    • Giraldo, F.X.1    Rosmond, T.E.R.2
  • 16
    • 0344006664 scopus 로고    scopus 로고
    • Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
    • F.Q. Hu, M.Y. Hussaini, and J.L. Manthey Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics J. Comput. Phys. 124 1996 177 191
    • (1996) J. Comput. Phys. , vol.124 , pp. 177-191
    • Hu, F.Q.1    Hussaini, M.Y.2    Manthey, J.L.3
  • 17
    • 2142821340 scopus 로고    scopus 로고
    • Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
    • Springer Berlin
    • W. Hundsdorfer, and J.G. Verwer Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations Series in Computational Mathematics 2003 Springer Berlin
    • (2003) Series in Computational Mathematics
    • Hundsdorfer, W.1    Verwer, J.G.2
  • 18
    • 11444270668 scopus 로고    scopus 로고
    • Generalized integrating factor methods for stiff PDEs
    • in press
    • S. Krogstad, Generalized integrating factor methods for stiff PDEs, J. Comput. Phys. (2004), in press
    • (2004) J. Comput. Phys.
    • Krogstad, S.1
  • 19
    • 0025532444 scopus 로고
    • An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
    • Y. Maday, A.T. Patera, and E.M. Rønquist An operator-integration- factor splitting method for time-dependent problems: Application to incompressible fluid flow J. Sci. Comput. 5 4 1990 263 292
    • (1990) J. Sci. Comput. , vol.5 , Issue.4 , pp. 263-292
    • Maday, Y.1    Patera, A.T.2    Rønquist, E.M.3
  • 20
    • 0024194194 scopus 로고    scopus 로고
    • A quantitative analysis of the dissipation inherent in semi-Lagrangian advection
    • J.D. McCalpin A quantitative analysis of the dissipation inherent in semi-Lagrangian advection Mon. Wea. Rev. 116 1998 2330 2336
    • (1998) Mon. Wea. Rev. , vol.116 , pp. 2330-2336
    • McCalpin, J.D.1
  • 21
    • 0344177529 scopus 로고    scopus 로고
    • Monotonic cascade interpolation for semi-Lagrangian advection
    • R.D. Nair, J. Côté, and A. Staniforth Monotonic cascade interpolation for semi-Lagrangian advection Quart. J. Roy. Met. Soc. 125 1999 197 212
    • (1999) Quart. J. Roy. Met. Soc. , vol.125 , pp. 197-212
    • Nair, R.D.1    Côté, J.2    Staniforth, A.3
  • 22
    • 0026282642 scopus 로고
    • An efficient interpolation procedure for high-order three-dimensional semi-Lagrangian models
    • R.J. Purser, and L.M. Leslie An efficient interpolation procedure for high-order three-dimensional semi-Lagrangian models Mon. Wea. Rev. 119 1991 2492 2498
    • (1991) Mon. Wea. Rev. , vol.119 , pp. 2492-2498
    • Purser, R.J.1    Leslie, L.M.2
  • 23
    • 0030452194 scopus 로고    scopus 로고
    • A global-shallow water model using an expanded spherical cube
    • M.R. Rančić, J. Purser, and F. Mesinger A global-shallow water model using an expanded spherical cube Quart. J. Roy. Met. Soc. 122 1996 959 982
    • (1996) Quart. J. Roy. Met. Soc. , vol.122 , pp. 959-982
    • Rančić, M.R.1    Purser, J.2    Mesinger, F.3
  • 24
    • 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. Wea. Rev. 116 1988 1587 1598
    • (1988) Mon. Wea. Rev. , vol.116 , pp. 1587-1598
    • Ritchie, H.1
  • 25
    • 33748737180 scopus 로고
    • A stable numerical integration scheme for the primitive meteorological equations
    • A.J. Robert A stable numerical integration scheme for the primitive meteorological equations Atmos. Ocean 19 1981 35 46
    • (1981) Atmos. Ocean , vol.19 , pp. 35-46
    • Robert, A.J.1
  • 26
    • 0030096121 scopus 로고    scopus 로고
    • The "cubed-sphere": A new method for the solution of partial differential equations in spherical geometry
    • C. Ronchi, R. Ianoco, 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 93 114
    • (1996) J. Comput. Phys. , vol.124 , pp. 93-114
    • Ronchi, C.1    Ianoco, R.2    Paolucci, P.S.3
  • 27
    • 0000644762 scopus 로고
    • Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids
    • R. Sadourny Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids Mon. Wea. Rev. 100 1972 136 144
    • (1972) Mon. Wea. Rev. , vol.100 , pp. 136-144
    • Sadourny, R.1
  • 29
    • 0026291228 scopus 로고
    • Semi-Lagrangian integration schemes for atmospheric models - A review
    • A. Staniforth, and J. Côté Semi-Lagrangian integration schemes for atmospheric models - A review Mon. Wea. Rev. 119 1991 2206 2223
    • (1991) Mon. Wea. Rev. , vol.119 , pp. 2206-2223
    • Staniforth, A.1    Côté, J.2
  • 30
    • 0022835975 scopus 로고
    • Semi-implicit semi-Lagrangian integration schemes for a barotropic finite-element regional model
    • A. Staniforth, and C. Temperton Semi-implicit semi-Lagrangian integration schemes for a barotropic finite-element regional model Mon. Wea. Rev. 114 1986 2078 2090
    • (1986) Mon. Wea. Rev. , vol.114 , pp. 2078-2090
    • Staniforth, A.1    Temperton, C.2
  • 31
    • 1842822222 scopus 로고    scopus 로고
    • Semi-implicit spectral element atmospheric model
    • S.J. Thomas, and R.D. Loft Semi-implicit spectral element atmospheric model J. Sci. Comput. 17 2002 339 350
    • (2002) J. Sci. Comput. , vol.17 , pp. 339-350
    • Thomas, S.J.1    Loft, R.D.2
  • 32
    • 0034190405 scopus 로고    scopus 로고
    • Stable and unstable formulation of the convection operator in spectral element simulations
    • D. Wilhelm, and L. Kleiser Stable and unstable formulation of the convection operator in spectral element simulations Appl. Numer. Math. 33 2000 275 280
    • (2000) Appl. Numer. Math. , vol.33 , pp. 275-280
    • Wilhelm, D.1    Kleiser, L.2
  • 33
    • 0001440358 scopus 로고
    • A standard test set for numerical approximations to the shallow water equations in spherical geometry
    • 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 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
  • 34
    • 0035922242 scopus 로고    scopus 로고
    • A semi-Lagrangian high-order method for Navier-Stokes equations
    • D. Xiu, and G.E. Karniadakis A semi-Lagrangian high-order method for Navier-Stokes equations J. Comput. Phys. 172 2001 658 684
    • (2001) J. Comput. Phys. , vol.172 , pp. 658-684
    • Xiu, D.1    Karniadakis, G.E.2
  • 35
    • 11444262432 scopus 로고    scopus 로고
    • Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows
    • D. Xiu, S.J. Sherwin, S. Dong, and G.E. Karniadakis Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows J. Sci. Comput. 2004 in press
    • (2004) J. Sci. Comput.
    • Xiu, D.1    Sherwin, S.J.2    Dong, S.3    Karniadakis, G.E.4
  • 36
    • 1942475353 scopus 로고    scopus 로고
    • A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations
    • J. Xu, D. Xiu, and G.E. Karniadakis A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations J. Sci. Comput. 17 2002 585 597
    • (2002) J. Sci. Comput. , vol.17 , pp. 585-597
    • Xu, J.1    Xiu, D.2    Karniadakis, G.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.