A finite-element series-expansion technique for linear surface water waves

DOI10.1016/0045-7930(85)90021-0zbMath0569.76030OpenAlexW2025484004MaRDI QIDQ1060906

Franco Mattioli

Publication date: 1985

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(85)90021-0

zbMATH Keywords

linear theoryfinite element schemesurface water wavesBerkhoff equationseries expansion technique

Mathematics Subject Classification ID

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

Related Items (1)

An improvement of the finite-element series-expansion technique for linear water waves

Cites Work

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• Element integral approach for water waves
• On the parabolic equation method for water-wave propagation
• Surface waves on water of non-uniform depth
• Numerical instabilities of the integral approach to the interior boundary-value problem for the two-dimensional Helmholtz equation
• Forward Scattering by Long Thin Bodies
• Refraction–diffraction model for linear surface water waves
• Another kind of numerical instabilities of the integral approach to the interior boundary-value problem for the two-dimensional Helmholtz equation
• Longshore boundary conditions for numerical wave models
• Scattering of surface waves by a conical island
• Diffraction and refraction of surface waves using finite and infinite elements
• Surface-wave scattering matrix for a shelf
• A frontal solution program for finite element analysis

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