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Volumn 59, Issue 7, 2009, Pages 767-790

Impact of mass lumping on gravity and Rossby waves in 2D finite-element shallow-water models

Author keywords

Finite elements; Gravity waves; Mass lumping; Rossby waves; Shallow water equations

Indexed keywords

ANALYTICAL RESULTS; DISPERSION PROPERTIES; DISPERSION RELATIONS; DISPERSIVE PROPERTIES; FINITE ELEMENTS; FINITE-ELEMENT; MASS LUMPING; MASS MATRICES; ROSSBY WAVE; ROSSBY WAVES; SHALLOW-WATER EQUATIONS; SHALLOW-WATER MODELS; TEST PROBLEM;

EID: 66149136924     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1837     Document Type: Article
Times cited : (14)

References (26)
  • 1
    • 6044255328 scopus 로고
    • Finite element, finite volume and finite differences approximation to the shallow water equations
    • Morgan K, Oñate E, Periaux J, Peraire J, Zienkiewicz OC eds, Pineridge Press
    • Agoshkov V, Ovtchinnikov E, Pennati V, Ambrosi D, Saleri F. Finite element, finite volume and finite differences approximation to the shallow water equations. In Finite Elements in Fluids, Morgan K, Oñate E, Periaux J, Peraire J, Zienkiewicz OC (eds). Pineridge Press, 1993; 1001-1009.
    • (1993) Finite Elements in Fluids , pp. 1001-1009
    • Agoshkov, V.1    Ovtchinnikov, E.2    Pennati, V.3    Ambrosi, D.4    Saleri, F.5
  • 3
    • 0345454778 scopus 로고    scopus 로고
    • A finite-element ocean model: Principles and evaluation
    • Danilov S, Kivman G, Schröter J. A finite-element ocean model: principles and evaluation. Ocean Modelling 2004; 6:125-150.
    • (2004) Ocean Modelling , vol.6 , pp. 125-150
    • Danilov, S.1    Kivman, G.2    Schröter, J.3
  • 5
    • 0018514925 scopus 로고
    • A wave-equation model for finite-element tidal computations
    • Lynch DR, Gray WG. A wave-equation model for finite-element tidal computations. Computers and Fluids 1979; 7:207-228.
    • (1979) Computers and Fluids , vol.7 , pp. 207-228
    • Lynch, D.R.1    Gray, W.G.2
  • 6
    • 0003121009 scopus 로고
    • A three-dimensional finite-element model for coastal and estuarine circulation
    • Walters RA. A three-dimensional finite-element model for coastal and estuarine circulation. Continental Shelf Research 1992; 12:83-102.
    • (1992) Continental Shelf Research , vol.12 , pp. 83-102
    • Walters, R.A.1
  • 9
    • 0016495122 scopus 로고
    • Finite element mass matrix lumping by numerical integration with no convergence rate loss
    • Fried I, Malkus DS. Finite element mass matrix lumping by numerical integration with no convergence rate loss. International Journal of Solids and Structures 1975; 11:461-466.
    • (1975) International Journal of Solids and Structures , vol.11 , pp. 461-466
    • Fried, I.1    Malkus, D.S.2
  • 10
    • 0001269315 scopus 로고
    • A two-dimensional dispersion analysis of selected methods for solving the linearized shallow-water equations
    • Foreman MGG. A two-dimensional dispersion analysis of selected methods for solving the linearized shallow-water equations. Journal of Computational Physics 1984; 56:287-323.
    • (1984) Journal of Computational Physics , vol.56 , pp. 287-323
    • Foreman, M.G.G.1
  • 11
    • 18344384762 scopus 로고    scopus 로고
    • Stability/dispersion analysis of the discontinuous Galerkin linearized shallow-water system
    • Le Roux DY, Carey GF. Stability/dispersion analysis of the discontinuous Galerkin linearized shallow-water system. International Journal for Numerical Methods in Fluids 2005; 48:325-347.
    • (2005) International Journal for Numerical Methods in Fluids , vol.48 , pp. 325-347
    • Le Roux, D.Y.1    Carey, G.F.2
  • 13
    • 44249091389 scopus 로고    scopus 로고
    • Analysis of numerically-induced oscillations in 2D finite-element shallow-water models. Part I: Inertia-gravity waves
    • Le Roux DY, Rostand V, Pouliot B. Analysis of numerically-induced oscillations in 2D finite-element shallow-water models. Part I: inertia-gravity waves. SIAM Journal on Scientific Computing 2007; 29:331-360.
    • (2007) SIAM Journal on Scientific Computing , vol.29 , pp. 331-360
    • Le Roux, D.Y.1    Rostand, V.2    Pouliot, B.3
  • 14
    • 55549095664 scopus 로고    scopus 로고
    • Analysis of numerically-induced oscillations in 2D finite-element shallow-water models. Part II: Free planetary waves
    • Le Roux DY, Pouliot B. Analysis of numerically-induced oscillations in 2D finite-element shallow-water models. Part II: free planetary waves. SIAM Journal on Scientific Computing 2008; 30(4):1971-1991.
    • (2008) SIAM Journal on Scientific Computing , vol.30 , Issue.4 , pp. 1971-1991
    • Le Roux, D.Y.1    Pouliot, B.2
  • 15
    • 47849112053 scopus 로고    scopus 로고
    • Rostand V, Le Roux DY. Raviart-Thomas and Brezzi-Douglas-Marini finite element approximations of the shallow-water equations. International Journal for Numerical Methods in Fluids 2007. DOI: 10.1002/fld.1668.
    • Rostand V, Le Roux DY. Raviart-Thomas and Brezzi-Douglas-Marini finite element approximations of the shallow-water equations. International Journal for Numerical Methods in Fluids 2007. DOI: 10.1002/fld.1668.
  • 17
    • 0008718718 scopus 로고
    • Atmosphere-Ocean Dynamics
    • Academic Press: New York
    • Gill AE. Atmosphere-Ocean Dynamics. International Geophysics Series, vol. 31. Academic Press: New York, 1982.
    • (1982) International Geophysics Series , vol.31
    • Gill, A.E.1
  • 19
    • 34250917346 scopus 로고
    • A generalization of quantum conditions for the purposes of wave mechanics
    • Wentzel G. A generalization of quantum conditions for the purposes of wave mechanics. Zeitschrift fur Physik 1926; 38:518-529.
    • (1926) Zeitschrift fur Physik , vol.38 , pp. 518-529
    • Wentzel, G.1
  • 20
    • 0001175293 scopus 로고
    • A mixed finite element method for 2nd order elliptic problems
    • Mathematical Aspects of the Finite Element Methods, Galligani I, Magenes E eds, Springer: Berlin
    • Raviart P, Thomas J. A mixed finite element method for 2nd order elliptic problems. In Mathematical Aspects of the Finite Element Methods, Galligani I, Magenes E (eds). Lecture Notes in Mathematics. Springer: Berlin, 1977; 292-315.
    • (1977) Lecture Notes in Mathematics , pp. 292-315
    • Raviart, P.1    Thomas, J.2
  • 21
    • 0021626975 scopus 로고
    • A noise-free finite-element scheme for the two-layer shallow-water equations
    • Hua BL, Thomasset F. A noise-free finite-element scheme for the two-layer shallow-water equations. Tellus 1984; 36A:157-165.
    • (1984) Tellus , vol.36 A , pp. 157-165
    • Hua, B.L.1    Thomasset, F.2
  • 22
    • 0003385001 scopus 로고
    • Error estimates for the finite element method solution of the Stokes problem in the primitive variables
    • Bercovier M, Pironneau O. Error estimates for the finite element method solution of the Stokes problem in the primitive variables. Numerische Mathematik 1979; 33:211-224.
    • (1979) Numerische Mathematik , vol.33 , pp. 211-224
    • Bercovier, M.1    Pironneau, O.2
  • 23
    • 0027038701 scopus 로고    scopus 로고
    • Sigurdsson S. Treatment of the convective term in staggered finite element schemes for shallow water flow. In Computational Methods in Water Resources IX, 1: Numerical Methods in Water Resources, Russel TF, Ewing RE, Brebia CA, Gray WG, Pinder GF (eds). Computational Mechanics Publications, Elsevier Applied Science: 1992; 291-298.
    • Sigurdsson S. Treatment of the convective term in staggered finite element schemes for shallow water flow. In Computational Methods in Water Resources IX, Vol. 1: Numerical Methods in Water Resources, Russel TF, Ewing RE, Brebia CA, Gray WG, Pinder GF (eds). Computational Mechanics Publications, Elsevier Applied Science: 1992; 291-298.
  • 25
    • 0000368206 scopus 로고
    • Free planetary waves in finite-difference numerical models
    • Wajsowicz RC. Free planetary waves in finite-difference numerical models. Journal of Physical Oceanography 1986; 16:773-789.
    • (1986) Journal of Physical Oceanography , vol.16 , pp. 773-789
    • Wajsowicz, R.C.1
  • 26
    • 66149090211 scopus 로고    scopus 로고
    • Kernel analysis of the discretized finite difference and finite element shallow water models
    • in press
    • Rostand V, Le Roux DY, Carey G. Kernel analysis of the discretized finite difference and finite element shallow water models. SIAM Journal on Scientific Computing 2008; in press.
    • (2008) SIAM Journal on Scientific Computing
    • Rostand, V.1    Le Roux, D.Y.2    Carey, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.