Note on non-orthogonality of local curvilinear co-ordinates in a three-dimensional boundary element method

International Journal for Numerical Methods in Fluids

Volumn 48, Issue 3, 2005, Pages 305-324

  Fochesato, C ^a   Grilli, S T ^b   Guyenne, P ^c  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b University of Rhode Island   (United States)

^c MCMASTER UNIVERSITY   (Canada)

Author keywords

Boundary element method; Curvilinear co ordinates; Three dimensional surface waves

Indexed keywords

ACCELERATION; BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; KINEMATICS; MATHEMATICAL MODELS; NUMERICAL METHODS; VELOCITY MEASUREMENT;

NON-ORTHOGONALITY; NUMERICAL WAVE MODELS; SOLITARY WAVES;

WAVE PROPAGATION;

BOUNDARY ELEMENT METHOD; SOLITARY WAVE; SURFACE WAVE; WAVE BREAKING; WAVE SIMULATION;

EID: 18344375072     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.838     Document Type: Article

References (9)

1. Grilli ST, Guyenne P, Dias F. A fully non-linear model for three-dimensional overturning waves over an arbitrary bottom. International Journal for Numerical Methods in Fluids 2001; 35:829-867.
2. Grilli ST, Subramanya R. Quasi-singular integrals in the modelling of nonlinear water waves in shallow water. Engineering Analysis with Boundary Elements 1994; 13:181-191.
3. Grilli ST, Svendsen IA, Subramanya R. Breaking criterion and characteristics for solitary waves on slopes. Journal of Waterway, Port, Coastal and Ocean Engineering 1997; 123:102-112.
4. Longuet-Higgins MS, Cokelet ED. The deformation of steep surface waves on water. I. A numerical method of computation. Proceedings of the Royal Society of London A 1976; 350:1-26.
5. Grilli ST, Subramanya R. Numerical modeling of wave breaking induced by fixed or moving boundaries. Computational Mechanics 1996; 17:374-391.
6. Grilli ST, Subramanya R, Svendsen IA, Veeramony J. Shoaling of solitary waves on plane beaches. Journal of Waterway, Port, Coastal and Ocean Engineering 1994; 120:609-628.
7. New AL, McIver P, Peregrine DH. Computations of overturning waves. Journal of Fluid Mechanics 1985; 150:233-251.
8. Dommermuth DG, Yue DKP, Lin WM, Rapp RJ, Chan ES, Melville WK. Deep-water plunging breakers: a comparison between potential theory and experiments. Journal of Fluid Mechanics 1988; 189:423-442.
9. Biausser B, Grilli ST, Fraunié P. Numerical analysis of the internal kinematics and dynamics of three-dimensional breaking waves on slopes. Proceedings of the 13th International Offshore and Polar Engineering Conference, Honolulu, USA, May 2003; 340-346.