Speaker 1 : Taro Kakinuma (Kagoshima University)
Date & Time : February 18th (Fri.), 2022 / 10:00-10:40PM (Tokyo (JST))
Title : Numerical solutions for the coexisting fields of surface and internal solitary waves
Abstract :
The numerical solutions for the coexisting fields of surface and internal solitary waves
were obtained, where the set of nonlinear equations based on the variational principle for
steady waves were solved using the Newton-Raphson method. The relative phase velocity of
surface-mode solitary waves was slower in the coexisting fields of surface and internal
solitary waves than in the corresponding fields without the coexistence of internal waves.
The relative phase velocity of internal-mode solitary waves was also slower in the coexisting
fields of surface and internal solitary waves than in the corresponding cases without surface
waves. The interfacial position of an internal-mode internal solitary wave in a coexisting
field of surface and internal waves can exceed the critical level determined in the corresponding
case without a surface wave. The wave height ratio between internal-mode surface and internal
solitary waves decreased, as the relative wave height of internal-mode internal solitary waves
was increased.