Stability and accuracy of spatial approximations for wave equation tidal models

DOI10.1016/0021-9991(85)90030-0zbMath0573.76020OpenAlexW2052197741MaRDI QIDQ1062830

William G. Gray, Ingemar P. E. Kinnmark

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90030-0

zbMATH Keywords

finite difference approximationsquadratic finite elementsshallow water wave equationlinear finite elementsCourant constraintAmplitude and phase characteristicsnon-constant bathemetrynon-zero frictionstability of numerical schemesuneven node spacing

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

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A comparison of the GWCE and mixed P − P1 formulations in finite-element linearized shallow-water models ⋮ Mixed finite elements for global tide models

Cites Work

• A wave equation model for finite element tidal computations
• A two-dimensional analysis of the wave equation model for finite element tidal computations
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