Abstract
An efficient numerical model for wave induced flows and their interaction with impermeable coastal structures, is presented. Using recent developments in the field of two-fluid (water/air) Navier-Stokes (NS) simulations, an efficient numerical wave tank (NWT) was developed which combines the Immersed Boundary (IB) method and Fast Direct Solvers (FDS). Conventional NS-based NWTs require significant computational resources which prevents their use in discretisation demanding cases or extensive parametric studies. The computational efficiency of the new NWT was achieved by replacing the conventional variable-coefficient Poisson equation with a constant-coefficient one which is solved with a FDS. Results of the accuracy, limitations, and computational performance of the NWT are presented and discussed based on several validation tests: (1) propagation of a 2nd-order Stokes wave, (2) formation of a standing wave, (3) spilling breaking over a mild slope bed, (4) three-dimensional (3D) interaction of a solitary wave with a vertical abutment, and (5) diffraction of a solitary wave by a single-row pile breakwater. The computational performance of the new NWT was demonstrated for problems with 1–280 million grid nodes. The overall speed-up of the new NWT increases with the problem size, and it is estimated to be about 30 for large 3D problems.
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
