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Transient curvilinear-coordinate based fully nonlinear model for wave propagation and interactions with curved boundaries

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Abstract

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.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of Houston, Houston, USA

    Yu-Hsiang Chen & Keh-Han Wang

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  1. Yu-Hsiang Chen
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  2. Keh-Han Wang
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Correspondence to Keh-Han Wang.

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Chen, YH., Wang, KH. Transient curvilinear-coordinate based fully nonlinear model for wave propagation and interactions with curved boundaries. J Hydrodyn 30, 549–563 (2018). https://doi.org/10.1007/s42241-018-0065-y

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  • DOI: https://doi.org/10.1007/s42241-018-0065-y

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