A general DRBEM model for wave refraction and diffraction

DOI10.1016/S0955-7997(00)00015-1zbMath0980.76056WikidataQ126556817 ScholiaQ126556817MaRDI QIDQ1582621

Huan-Wen Liu, Ke Chen, Song-Ping Zhu

Publication date: 13 March 2002

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

long waveswave refractionwave diffractiondual reciprocity boundary element methodmild-slope equationtsunami waves

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (13)

Boundary element formulation of the Mild-Slope equation for harmonic water waves propagating over unidirectional variable bathymetries ⋮ Numerical solutions of mild slope equation by generalized finite difference method ⋮ An analytical solution for long-wave scattering by a submerged circular truncated shoal ⋮ A coupled boundary element-finite difference solution of the elliptic modified mild slope equation ⋮ Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method ⋮ A boundary element method for the hydrodynamic analysis of floating bodies in variable bathymetry regions ⋮ Solution for wave propagation through a circular cylinder mounted on different topography ripple-bed profile shoals using DRBEM ⋮ The series solution to the modified mild-slope equation for wave scattering by Homma islands ⋮ A perturbation DRBEM model for weakly nonlinear wave run-ups around islands ⋮ A coupled finite and boundary spectral element method for linear water-wave propagation problems ⋮ The ultra weak variational formulation for the modified mild-slope equation ⋮ A new application of an improved DRBEM model for water wave propagation over a frictional uneven bottom ⋮ Robust solutions of the mild slope equations using a discontinuous DRBEM

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• On the application of multiquadric bases in conjunction with the LTDRM method to solve nonlinear diffusion equations
• A combination of LTDRM and ATPS in solving diffusion problems
• Local error estimates for radial basis function interpolation of scattered data
• Scattering of surface waves by a conical island
• Diffraction and refraction of surface waves using finite and infinite elements
• Improvement on dual reciprocity boundary element method for equations with convective terms
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• New solutions for the propagation of long water waves over variable depth
• Long waves on a beach
• Gravity wave refraction by islands
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