Note on non-orthogonality of local curvilinear co-ordinates in a three-dimensional boundary element method
Date of Original Version
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.
International Journal for Numerical Methods in Fluids
Fochesato, C., S. T. Grilli, and P. Guyenne. "Note on non-orthogonality of local curvilinear co-ordinates in a three-dimensional boundary element method." International Journal for Numerical Methods in Fluids 48, 3 (2005): 305-324. doi:10.1002/fld.838.