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Volumn 26, Issue 6, 2003, Pages 649-662

Numerical analogs to Fourier and dispersion analysis: Development, verification, and application to the shallow water equations

Author keywords

Dispersion analysis; Finite volume method; Fourier analysis; Numerical phase analysis; Shallow water equations

Indexed keywords

FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FOURIER TRANSFORMS;

EID: 0038782054     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(03)00028-9     Document Type: Article
Times cited : (16)

References (19)
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  • 2
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    • in press
    • Atkinson JH, Westerink JJ, Luettich RA. Two-dimensional dispersion analysis of finite element approximations to the shallow water equations. Int J Numer Meth Fluids, in press
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  • 6
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    • An analysis of the "wave equation" model for finite element tidal computations
    • Foreman M.G.G. An analysis of the "wave equation" model for finite element tidal computations J. Comput. Phys. 52 1983 290 312
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  • 7
    • 0001269315 scopus 로고
    • A two-dimensional dispersion analysis of selected methods for solving the linearized shallow water equations
    • Foreman M.G.G. A two-dimensional dispersion analysis of selected methods for solving the linearized shallow water equations J. Comput. Phys. 56 1984 287 323
    • (1984) J. Comput. Phys. , vol.56 , pp. 287-323
    • Foreman, M.G.G.1
  • 9
    • 0017422235 scopus 로고
    • Time-stepping schemes for finite element tidal model computations
    • Gray W.G. Lynch D.R. Time-stepping schemes for finite element tidal model computations Adv. Water Resour. 1 2 1977 83 95
    • (1977) Adv. Water Resour. , vol.1 , Issue.2 , pp. 83-95
    • Gray, W.G.1    Lynch, D.R.2
  • 11
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    • The 2Δx-test: A tool for analyzing spurious oscillations
    • Kinnmark I. Gray W.G. The 2Δx-test: a tool for analyzing spurious oscillations. Adv Water Resour 1985;8:129-35.
    • (1985) Adv Water Resour , vol.8 , pp. 129-135
    • Kinnmark, I.1    Gray, W.G.2
  • 14
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    • A wave equation model for finite element tidal computations
    • Lynch D.R. Gray W.G. A wave equation model for finite element tidal computations Comput. Fluids 7 3 1979 207 228
    • (1979) Comput. Fluids , vol.7 , Issue.3 , pp. 207-228
    • Lynch, D.R.1    Gray, W.G.2
  • 15
    • 0001916799 scopus 로고
    • Some response characteristics of finite-element tidal models
    • Platzman G.W. Some response characteristics of finite-element tidal models J. Comput. Phys. 40 1981 36 63
    • (1981) J. Comput. Phys. , vol.40 , pp. 36-63
    • Platzman, G.W.1
  • 16
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby P.K. High resolution schemes using flux limiters for hyperbolic conservation laws SIAM J. Numer. Anal. 21 5 1984 995 1011
    • (1984) SIAM J. Numer. Anal. , vol.21 , Issue.5 , pp. 995-1011
    • Sweby, P.K.1
  • 18
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    • Numerically induced oscillations in finite element approximations to the shallow water equations
    • Walters R.A. Numerically induced oscillations in finite element approximations to the shallow water equations Int. J. Numer. Meth. Fluids 3 1983 591 604
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    • Walters, R.A.1
  • 19
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    • The influence of normal flow boundary conditions on spurious modes in finite element solutions to the shallow water equations
    • Westerink J.J. Luettich R.A. Wu J.K. Kolar R.L. The influence of normal flow boundary conditions on spurious modes in finite element solutions to the shallow water equations Int. J. Numer. Meth. Fluids 18 1994 1021 1060
    • (1994) Int. J. Numer. Meth. Fluids , vol.18 , pp. 1021-1060
    • Westerink, J.J.1    Luettich, R.A.2    Wu, J.K.3    Kolar, R.L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.