New solutions for periodic interfacial gravity waves. (10th December 2021)

• Record Type: Journal Article
• Authors: Guan, X.; Vanden-Broeck, J.-M.; Wang, Z.
• Is Part Of: Journal of fluid mechanics. Volume 928(2021)
• Publication Date: 2021-12-10
• Subjects: surface gravity waves; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2021.854
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract: 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.