Transient curvilinear-coordinate based fully nonlinear model for wave propagation and interactions with curved boundaries
This paper presents a newly developed 3-D fully nonlinear wave model in a transient curvilinear coordinate system to simulate propagation of nonlinear waves and their interactions with curved boundaries and cylindrical structures. A mixed explicit and implicit finite difference scheme was utilized to solve the transformed governing equation and boundary conditions in grid systems fitting closely to the irregular boundaries and the time varying free surface. The model’s performance was firstly tested by simulating a solitary wave propagating in a curved channel. This three-dimensional solver, after comparing the results with those obtained from the generalized Boussinesq (gB) model, is demonstrated to be able to produce stable and reliable predictions on the variations of nonlinear waves propagating in a channel with irregular boundary. The results for modeling a solitary wave encountering a vertical cylinder are also presented. It is found the computed wave elevations and hydrodynamic forces agree reasonably well with the experimental measurements and other numerical results.
Key wordsSolitary wave curvilinear coordinate transformation curved channel wave scattering hydrodynamic forces
Unable to display preview. Download preview PDF.
- Wu T. Y. Long waves in ocean and coastal waters [J]. Journal of the Engineering Mechanics Division, 1981, 107 (3): 501–522.Google Scholar
- Yates G. T., Wang K. H. Solitary wave scattering by a vertical cylinder: experimental study [C]. Proceedings of the Fourth International Offshore and Polar Engineering Conference, Osaka, Japan, 1994, 118–124.Google Scholar
- Shi A., Teng M. H. Propagation of solitary wave in channels of complex configurationsai][C]. Proceedings of the Second International Conference on Hydrodynamics, Hong Kong, China, 1996, 349–354.Google Scholar
- Yuhi M., Ishida H., Mase H. Numerical study of solitary wave propagation in curved channels [C]. Proceedings of the 27th International Conference on Coastal Engineering, Sydney, Australia, 2000, 519–532.Google Scholar
- Schember H. R. A new model for three-dimensional nonlinear dispersive long waves [D]. Doctoral Thesis, Pasadena, CA,USA: California Institute of Technology, 1982.Google Scholar