Modelling an undular bore with \(B\)-splines

DOI10.1016/S0045-7825(96)00002-3zbMath0897.76049OpenAlexW2071711194MaRDI QIDQ1376137

N. K. Amein, G. A. Gardner, F. A. Ayoub, L. R. T. Gardner

Publication date: 25 October 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(96)00002-3

zbMATH Keywords

solitary waveregularized long wave equationPetrov-Galerkin B-spline finite element method

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite element methods applied to problems in fluid mechanics (76M10) Waves for incompressible viscous fluids (76D33)

Related Items (11)

Galerkin method for the numerical solution of the RLW equation using quintic B-splines ⋮ Numerical solution of RLW equation using linear finite elements within Galerkin's method ⋮ Galerkin method for the numerical solution of the RLW equation using quadratic B-splines ⋮ Integration of the RLW equation using higher-order predictor-corrector scheme and quintic B-spline collocation method ⋮ A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations ⋮ QUINTIC B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF THE RLW EQUATION ⋮ A modified equation approach to selecting a nonstandard finite difference scheme applied to the regularized long wave equation ⋮ B-spline collocation algorithms for numerical solution of the RLW equation ⋮ Cosine expansion-based differential quadrature algorithm for numerical solution of the RLW equation ⋮ A meshless method using the radial basis functions for numerical solution of the regularized long wave equation ⋮ Application of Galerkin's method to equal width wave equation

Cites Work

• Solitary waves of the regularised long-wave equation
• Iterative solution of the stream function-vorticity equations using a multigrid solver with finite elements
• Euler operators and conservation laws of the BBM equation
• Model equations for long waves in nonlinear dispersive systems
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