Guan, X;
Vanden-Broeck, J-M;
Wang, Z;
(2021)
New solutions for periodic interfacial gravity waves.
Journal of Fluid Mechanics
, 928
, Article R5. 10.1017/jfm.2021.854.
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Abstract
Two-dimensional periodic interfacial gravity waves travelling between two homogeneous fluids of finite depth are considered. A boundary-integral-equation method coupled with Fourier expansions of the unknown functions is used to obtain highly accurate solutions. Our numerical results show excellent agreement with those already obtained by Maklakov & Sharipov using a different scheme (J. Fluid Mech., vol. 856, 2018, pp. 673–708). We explore the global bifurcation mechanism of periodic interfacial waves and find three types of limiting wave profiles. The new families of solutions appear either as isolated branches or as secondary branches bifurcating from the primary branch of solutions.
| Type: | Article |
|---|---|
| Title: | New solutions for periodic interfacial gravity waves |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jfm.2021.854 |
| Publisher version: | https://doi.org/10.1017/jfm.2021.854 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | surface gravity waves |
| 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-pp.ucl.ac.uk/id/eprint/10137746 |
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