A Petrov-Galerkin finite element model for one-dimensional fully non-linear and weakly dispersive wave propagation

International Journal for Numerical Methods in Fluids

Volumn 37, Issue 5, 2001, Pages 541-575

  Woo, Seung Buhm ^a   Liu, Philip L F ^a  

^a Cornell University   (United States)

Author keywords

Extended Boussinesq equations; Fully non linear; Petrov Galerkin FEM

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; GALERKIN METHODS; ITERATIVE METHODS; PIECEWISE LINEAR TECHNIQUES;

SPATIAL INTEGRATIONS;

WAVE TRANSMISSION;

BOUSSINESQ EQUATION; FINITE ELEMENT METHOD; ONE-DIMENSIONAL FLOW; WAVE PROPAGATION;

EID: 0035889513     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.186     Document Type: Article

References (29)

1. Model equations for wave propagations from deep to shallow water
2. A fully nonlinear boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
3. Higher-order Boussinesq-type equations for surface gravity waves: Derivation and analysis
4. Wave evolution over submerged sills: Tests of a high-order boussinesq model
5. Accuracy of short wave numerical models
6. Time-dependent numerical code for extended boussinesq equations
7. A formal derivation and numerical modeling of the improved boussinesq equations for varying depth
8. Computation of finite-amplitude dispersive waves
9. Surface waves propagation in shallow water: A finite element model
10. Finite element method for boussinesq wave analysis
11. Finite elements for the Boussinesq wave equations
12. A Taylor-Galerkin method for simulating nonlinear-dispersive water waves
13. On breaking waves and wave-current interaction in shallow water: A 2DH finite element model
14. Numerical modeling of boussinesq equations by finite element method
15. A finite element method for the one-dimensional extended boussinesq equations
16. Petrov-Galerkin methods for nonlinear dispersive waves
17. An investigation into the effect of product approximation in the numerical solution of the cubic nonlinear Schrödinger equation
18. Modified boussinesq equations and associated parabolic models for wave propagation
19. An alternative form of the boussinesq equations for nearshore wave propagation
20. Solitary waves of the regularised long-wave equation
21. An efficient boundary element method for nonlinear water waves
22. Shoaling of solitary waves on place beaches
23. A numerical study of breaking waves in the surf zone
24. Comparison of computations with Boussinesq-like models and laboratory measurements
25. A two dimensional bi-cubic B-spline finite element: Used in a study of MHD-duct flow
26. An explicit basis for Cl quartic bivariate splines