KdV Equation, Model of Interfacial Wave
LH Wiryanto
Department of Mathematics, Bandung Institute of Technology
Abstract
Two-fluid system of finite depth is considered in this talk. The fluids have different density and the height is also possible different. The interface between them is presented as the lower fluid height measured from the bottom. Because of a disturbance, that height changes at any time and position, so that it presents interfacial wave with KdV equation as the model. The wave propagation and deformation are observed for same various values of the physical parameters, such as density and height of the fluids. A finite difference method is shown successfully in performing the wave propagation. When the density and the height of the upper fluid tend to zero, the result confirms to the surface wave.
Keywords: KdV equation, interfacial wave, finite difference method
Topic: Coastal and Ocean Dynamics