Variational and numerical modelling strategies for cost-effective simulations of driven free-surface waves

This is a Preprint and has not been peer reviewed. This is version 1 of this Preprint.

Downloads

Download Preprint

Authors

Floriane Gidel, Yang Lu, Onno Bokhove, Mark Kelmanson

Abstract

A new, cost-effective and widely applicable tool is developed for simulating three-dimensional (3D) water-wave motion in the context of the maritime-engineering sector, with specific focus on the formation and analysis of extreme waves generated within in-house experimental wave tanks. The resulting ``numerical wave tank'' is able to emulate realistic sea states in which complex wave-wave or wave-beach interactions occur. After first transforming the time-dependent free surface and oscillatory wavemaker into a static rectilinear domain with fixed boundaries, a variational approach is used to derive weak formulations that lead to a non-autonomous space-discrete Hamiltonian system to which robust (stable and mass-conserving) temporal integrators are applied. Specifically, first-order symplectic-Euler and second-order Stormer-Verlet schemes are implemented in the finite-element environment ``Firedrake'', and convincing validation of the new tool is demonstrated via a comparison of its numerical results with data post-processed from real wave-tank experiments at the Maritime Research Institute Netherlands (MARIN). Current and future extensions to industrial applications are discussed.

DOI

https://doi.org/10.31223/X5WS8F

Subjects

Engineering, Physical Sciences and Mathematics

Keywords

water waves, variational numerical models, finite elements, verification and validation test cases, rogue waves

Dates

Published: 2022-06-17 17:18

License

CC BY Attribution 4.0 International

Add a Comment

You must log in to post a comment.


Comments

There are no comments or no comments have been made public for this article.