Internal solitary waves generated by a moving bottom disturbance

The strongly nonlinear Miyata-Choi-Camassa model under the rigid lid approximation (MCC-RL model) can describe accurately the dynamics of large-Amplitude internal waves in a two-layer fluid system for shallow configurations. In this paper, we apply the MCC-RL model to study the internal waves generated by a moving body on the bottom. For the case of the moving body speed, where is the linear long-wave speed, the accuracy of the MCC-RL results is assessed by comparing with Euler's solutions, and very good agreement is observed. It is found that when the moving body speed increases from to, the amplitudes of the generated internal solitary waves in front of the moving body become larger. However, a critical moving body speed is found between and. After exceeding this critical speed, only one internal wave right above the body is generated. When the moving body speed increases from to, the amplitudes of the internal waves become smaller.