Solution of two-dimensional water-wave propagation problems by Chebyshev collocation

DOI10.1016/0895-7177(89)90348-8zbMath0692.76005OpenAlexW2074706540MaRDI QIDQ583980

V. G. Panchang, David A. Kopriva

Publication date: 1989

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(89)90348-8

zbMATH Keywords

Chebyshev methodChebyshev collocationhyperbolic Euler equationsparabolic equation methodtwo-dimensional, elliptic, reduced wave equationwater-wave propagation for coastal engineering applications

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30)

Related Items (3)

A Fourier-Chebyshev collocation method for the mass transport in a layer of power-law fluid mud ⋮ New solutions for the propagation of long water waves over variable depth ⋮ An implicit-Chebyshev pseudospectral method for the effect of radiation on power-law fluid past a vertical plate immersed in a porous medium

Cites Work

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• Radiation boundary conditions for wave-like equations
• Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction: I
• Scattering of surface waves by a conical island
• The limiting amplitude principle

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