Application of a Robin boundary condition to surface waves

Frontiers in Marine Science

Marine Science

Jan Erik Hobæk Weber¹  Kai Håkon Christensen² 

[1] Department of Geosciences, University of Oslo, Oslo, Norway;Research and Development Department, Norwegian Meteorological Institute, Oslo, Norway;Department of Geosciences, University of Oslo, Oslo, Norway;

关键词: Robin condition;    surface gravity waves;    elastic film;    viscous surface layer;    wave growth;    wave damping;   

DOI  :  10.3389/fmars.2023.1129643

 received in 2022-12-22, accepted in 2023-03-13,  发布年份 2023

来源: Frontiers

【 摘 要 】

Surface effects on deep-water gravity waves are investigated theoretically by the application of a Robin boundary condition with a complex Robin parameter, R=Rr+iRi. The Robin condition combines the shear stress and the horizontal velocity at the ocean surface. We show that this condition describes wave damping related to surface phenomena like elastic films or thin viscous fluid layers. It may also model wave generation by oscillating surface stresses depending on the signs and magnitudes of Rr and Ri.

【 授权许可】

Unknown   
Copyright © 2023 Christensen and Weber