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

We give a more general derivation of the particle velocity and acceleration used in the numerical wave model of Grilli et al. (Int. J. Numer. Meth. Fluids 2001; 35:829–867), by expressing these quantities in a local orthogonal co‐ordinate system. Computations of solitary waves propagating and breaki...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2005-05, Vol.48 (3), p.305-324
Main Authors: Fochesato, C., Grilli, S. T., Guyenne, P.
Format: Article
Language:English
Subjects:
boundary element method
Computational methods in fluid dynamics
curvilinear co-ordinates
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
Physics
three-dimensional surface waves
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Summary:We give a more general derivation of the particle velocity and acceleration used in the numerical wave model of Grilli et al. (Int. J. Numer. Meth. Fluids 2001; 35:829–867), by expressing these quantities in a local orthogonal co‐ordinate system. Computations of solitary waves propagating and breaking over a sloping bottom show that the new formulation gives better results than the former one in the latest stages of overturning. Nevertheless, both formulations are found to be as suitable for the simulation of non‐overturning waves. Results on wave profiles as well as on surface and internal kinematics are presented. Copyright © 2004 John Wiley & Sons, Ltd.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.838