Abstract
This research develops a two-dimensional numerical model for the simulation of the flow due to a solitary wave passing over a trapezoidal submerged breakwater on the basis of generalized vortex methods. In this method, the irrotational flow field due to free surface waves is simulated by employing a vortex sheet distribution, and the vorticity field generated from the submerged object is discretized using vortex blobs. This method reduces the difficulty in capturing the nonlinear deformation of surface waves, and also concentrates the computational resources in the compact region with vorticity. This numerical model was validated by conducting a set of simulations for irrotational solitary waves and then compared with the results of a relevant research. The comparisons exhibit good agreement. The rotational flows induced by different incident wave height were simulated and analyzed to study the effect of vorticity on the deformation and the breaking of solitary waves.
Highlights
The interaction of surface water waves with submerged structures has attracted attention in many fields of engineering applications
[1] employed a boundary element method to establish a two-dimensional numerical model for the simulation of surface waves in an irrotational, inviscid fluid flow, and simulated the breaking of solitary waves passing over a trapezoidal submerged breakwater
One of the benefits of the approaches using the irrotational-flow assumption is the efficient computation by applying boundary integral methods, and these approaches usually predict the transformation of water waves accurately if flow separation is not severe
Summary
The interaction of surface water waves with submerged structures has attracted attention in many fields of engineering applications. Numerous investigations for this problem have been implemented based on potential-flow theory with the assumption that the flow is irrotational. [1] employed a boundary element method to establish a two-dimensional numerical model for the simulation of surface waves in an irrotational, inviscid fluid flow, and simulated the breaking of solitary waves passing over a trapezoidal submerged breakwater. The potential flow with surface waves is solved by employing a generalized vortex sheet approach, and the viscous flow is solved via a Lagrangian vortex particle method. In contrast with grid-based schemes, the Lagrangian vortex particles convect without numerical dissipation and automatically adjust to resolve the regions with vorticity
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
