Vanden-Broeck, Jean-Marc;
Guan, Xin;
(2025)
A time-dependent boundary-integral algorithm for nonlinear interfacial waves.
Computers and Fluids
, 300
, Article 106739. 10.1016/j.compfluid.2025.106739.
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Abstract
A boundary-integral algorithm based on an Eulerian or mixed Eulerian–Lagrangian description is presented for simulating two-dimensional unsteady nonlinear interfacial waves. It uses the tangent angle and the density-weighted velocity potential as primary unknowns, with the arclength used to parameterize the interface. Therefore, overhanging waves can be readily simulated. Cauchy’s integral formula is used to solve Laplace’s equation efficiently and accurately, for waves on deep water, finite-depth water or bottom topography. The numerical scheme is neutrally stable and conserves energy with superior accuracy. No significant numerical stiffness is observed, allowing for very long-term simulations of various physical scenarios.
| Type: | Article |
|---|---|
| Title: | A time-dependent boundary-integral algorithm for nonlinear interfacial waves |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.compfluid.2025.106739 |
| Publisher version: | https://doi.org/10.1016/j.compfluid.2025.106739 |
| Language: | English |
| Additional information: | © 2025 The Authors. Published by Elsevier Ltd. under a Creative Commons license (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Interfacial waves, Water waves, Boundary-integral equations, Numerical simulation |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10211958 |
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