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Volumn 45, Issue 1-3, 2003, Pages 97-121

Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations

Author keywords

Finite element; Lagrange Gaterkin; Semi Lagrangian; Shallow water equations; Spectral element

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; FLUID DYNAMICS; INTEGRATION; INTERPOLATION;

EID: 0037287484     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)80010-X     Document Type: Article
Times cited : (38)

References (27)
  • 2
    • 0001272090 scopus 로고
    • A spectral element basin model for the shallow water equations
    • H. Ma, A spectral element basin model for the shallow water equations, Journal of Computational Physics 109, 133-149, (1993).
    • (1993) Journal of Computational Physics , vol.109 , pp. 133-149
    • Ma, H.1
  • 3
    • 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, Journal of Computational Physics 147, 114-146, (1998).
    • (1998) Journal of Computational Physics , vol.147 , pp. 114-146
    • Giraldo, F.X.1
  • 5
    • 0001295713 scopus 로고
    • A Galerkin-characteristic algorithm for transport-diffusion equations
    • R. Bermejo, A Galerkin-characteristic algorithm for transport-diffusion equations, SIAM Journal on Numerical Analysis 32, 425-454, (1995).
    • (1995) SIAM Journal on Numerical Analysis , vol.32 , pp. 425-454
    • Bermejo, R.1
  • 6
    • 0001235787 scopus 로고
    • Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • J. Douglas and T.F. Russell, Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM Journal on Numerical Analysis 19, 871-885, (1982).
    • (1982) SIAM Journal on Numerical Analysis , vol.19 , pp. 871-885
    • Douglas, J.1    Russell, T.F.2
  • 7
    • 0001463591 scopus 로고
    • Exact projections and the Lagrange-Galerkin method: A realistic alternative to quadrature
    • A. Priestley, Exact projections and the Lagrange-Galerkin method: A realistic alternative to quadrature, Journal of Computational Physics 112, 316-333, (1994).
    • (1994) Journal of Computational Physics , vol.112 , pp. 316-333
    • Priestley, A.1
  • 8
    • 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, Monthly Weather Review 119, 2206-2223, (1991).
    • (1991) Monthly Weather Review , vol.119 , pp. 2206-2223
    • Staniforth, A.1    Côté, J.2
  • 13
    • 0000647401 scopus 로고
    • Quelques difficultes de modules numerique en hydralique
    • (Edited by R. Glowinski and J.L. Lions), North-Holland, New York
    • J.P. Benque and J. Ronat, Quelques difficultes de modules numerique en hydralique, In Computing Method in Applied Sciences and Engineering, Volume V, (Edited by R. Glowinski and J.L. Lions), p. 471, North-Holland, New York, (1982).
    • (1982) Computing Method in Applied Sciences and Engineering , vol.5 , pp. 471
    • Benque, J.P.1    Ronat, J.2
  • 15
    • 0034233712 scopus 로고    scopus 로고
    • The Lagrange-Galerkin method for the 2D shallow water equations on adaptive grids
    • F.X. Giraldo, The Lagrange-Galerkin method for the 2D shallow water equations on adaptive grids, International Journal for Numerical Methods in Fluids 33, 789-832, (2000).
    • (2000) International Journal for Numerical Methods in Fluids , vol.33 , pp. 789-832
    • Giraldo, F.X.1
  • 16
    • 0030427887 scopus 로고    scopus 로고
    • A new two-dimensional finite element model for the shallow water equations using a Lagrangian framework constructed along fluid particle trajectories
    • J. Petera and V. Nassehi, A new two-dimensional finite element model for the shallow water equations using a Lagrangian framework constructed along fluid particle trajectories, International Journal for Numerical Methods in Fluids 39, 4159-4182, (1996).
    • (1996) International Journal for Numerical Methods in Fluids , vol.39 , pp. 4159-4182
    • Petera, J.1    Nassehi, V.2
  • 18
    • 0001004448 scopus 로고    scopus 로고
    • Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations
    • F.X. Giraldo, Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations, Journal of Computational Physics 160, 336-368, (2000).
    • (2000) Journal of Computational Physics , vol.160 , pp. 336-368
    • Giraldo, F.X.1
  • 19
    • 0018955697 scopus 로고
    • Equatorial solitary waves. Part 1: Rossby solitons
    • J.P. Boyd, Equatorial solitary waves. Part 1: Rossby solitons, Journal of Physical Oceanography 10, 1699-1717, (1980).
    • (1980) Journal of Physical Oceanography , vol.10 , pp. 1699-1717
    • Boyd, J.P.1
  • 20
    • 0002528064 scopus 로고
    • Equatorial solitary waves. Part 3: Westward-traveling modons
    • J.P. Boyd, Equatorial solitary waves. Part 3: Westward-traveling modons, Journal of Physical Oceanography 15, 46-54, (1985).
    • (1985) Journal of Physical Oceanography , vol.15 , pp. 46-54
    • Boyd, J.P.1
  • 22
    • 0024797479 scopus 로고
    • Semi-Lagrangian integration of a gridpoint shallow water model on the sphere
    • A. McDonald and J.R. Bates, Semi-Lagrangian integration of a gridpoint shallow water model on the sphere, Monthly Weather Review 117, 130-137, (1989).
    • (1989) Monthly Weather Review , vol.117 , pp. 130-137
    • McDonald, A.1    Bates, J.R.2
  • 23
    • 0023468442 scopus 로고
    • Semi-Lagrangian advection on a Gaussian grid
    • H. Ritchie, Semi-Lagrangian advection on a Gaussian grid, Monthly Weather Review 115, 608-619, (1987).
    • (1987) Monthly Weather Review , vol.115 , pp. 608-619
    • Ritchie, H.1
  • 24
    • 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 Journal on Numerical Analysis 35, 909-940, (1998).
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , pp. 909-940
    • Falcone, M.1    Ferretti, R.2
  • 25
    • 85207647845 scopus 로고    scopus 로고
    • A semi-Lagrangian high-order method for Navier-Stokes equations
    • (to appear)
    • D. Xiu and G.E. Karniadakis, A semi-Lagrangian high-order method for Navier-Stokes equations, Journal of Computational Physics (to appear).
    • Journal of Computational Physics
    • Xiu, D.1    Karniadakis, G.E.2
  • 27
    • 85207650218 scopus 로고    scopus 로고
    • Naval Research Laboratory, Marine Meteorology Division, (private communication)
    • T. Rosmond, Naval Research Laboratory, Marine Meteorology Division, (private communication).
    • Rosmond, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.