K.Terletska, V.Maderich, I.Brovchenko
Numerical investigation of the interaction of the second baroclinic mode internal solitary waves during head-on collision

Applied hydromechanics, Vol. 17 (89) ¹ 3, (2015) p.44-54
The problem of head-on collision of the solitary internal waves of second mode is considered. Numerical simulations have revealed the presence of several interaction types depending on the normalized second mode wave amplitude on the thickness of the interface. In the case of interaction of weakly nonlinear waves, they retain their profile and the amplitude is reduced mainly due to viscous friction and the small phase shift is occurred. Peculiarity of the interaction of waves with the trapped cores with the Froude numbers close to the critical values is that the waves before collision are the waves with the trapped cores and after the collision, they are transformed into weakly nonlinear waves. Interaction of waves with the trapped cores occurs with the capturing dyed fluid from the cores when waves transmit each other. Further increase of amplitude in waves with the trapped cores lead to decrease of minimum Richardson number below 0.12, resulting in the formation of Kelvin-Helmholtz instability. Inside cores that captured by reflected and waves intensive mixing is occurred. And the intensive mixing leads to the increase of energy losses.
KEY WORDS:
head-on collision, second baroclinic mode internal solitary waves, numerical modeling
TEXT LANGUAGE: Russian