The propagation and evolution of long nonlinear internal solitary waves over slope-shelf topography is theoretically and numerically studied in a two-layer fluid system of finite depth.The variable Korteweg–de Vries(...The propagation and evolution of long nonlinear internal solitary waves over slope-shelf topography is theoretically and numerically studied in a two-layer fluid system of finite depth.The variable Korteweg–de Vries(vKdV)and variable extended Korteweg–de Vries(veKdV)equations are derived for the weak and moderate nonlinear waves,respectively.The numerical method is developed from finite difference/volume(FD/FV)scheme to solve the nonlinear equations.The transformation of solitary waves is observed when they propagate past the slope.The elevation of rear face of the front wave grows with the increase of the slope inclination.The results also show that the transformed waves can be described by the steady solution of the corresponding theoretical model(vKdV,veKdV)by considering the depth condition beyond the shelf.展开更多
基金This work is supported by the China Postdoctoral Science Foundation(Grant no.2017M621455)National Natural Science Foundation of China(Grant no.11072153).
文摘The propagation and evolution of long nonlinear internal solitary waves over slope-shelf topography is theoretically and numerically studied in a two-layer fluid system of finite depth.The variable Korteweg–de Vries(vKdV)and variable extended Korteweg–de Vries(veKdV)equations are derived for the weak and moderate nonlinear waves,respectively.The numerical method is developed from finite difference/volume(FD/FV)scheme to solve the nonlinear equations.The transformation of solitary waves is observed when they propagate past the slope.The elevation of rear face of the front wave grows with the increase of the slope inclination.The results also show that the transformed waves can be described by the steady solution of the corresponding theoretical model(vKdV,veKdV)by considering the depth condition beyond the shelf.
