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Journal of Applied Mechanics and Technical Physics

2021 year, number 4

Internal Solitary Waves Above a Combined Obstacle

D. S. Denisenko
Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: stratified flows, trapped waves

Abstract

A steady problem of trapped solitary waves in supercritical flows of a stratified fluid above an uneven bottom is considered. For gently sloping low-amplitude obstacles, a family of approximate two-parameter solutions is constructed, which correspond to internal solitary waves in the limit of a zero height of the obstacle. It is numerically demonstrated that the number of approximate solutions significantly depends on the bottom shape.