Author(s): Jaeyoung Jung, Jin Hwan Hwang

Linked Author(s): Jin Hwan Hwang

Keywords: Solitary wave; Shallow water equation; Higher order method; Piston type wave-maker;

Abstract: Water waves have been studied for centuries to understand various physical phenomena related with them in the estuary and the coast. In particular, the solitary wave has been a classical research interest over the last 100 years. Meanwhile, the significant improvement of the computation power and resource has helped the numerical studies to solve the partial differential equations representing physical phenomena more precisely and accurately. One of convenctional question could be the gereation of wave numerically. Therefore, this study deals with how to generate solitary waves accurately with a high order numerical method. For comparison with the past experimental studies, a piston type wave-maker is implemented with the higher order method, and which is governed by a conservative form of nonlinear shallow water equation. Numerical experiments are performed with the base on the Boussinesq's solitary waves. The simulated results show that if the ratio of the amplitude to the water depth is large, waves with inadmissible errors are generated. These errors occur due to the violation of a hydrostatic pressure assumption, which is mainly used in shallow water equations, in the particular practical problem such as the relative large variations of the terrain or water surface level compared to the water depth. In order to avoid such errors and increase the accuracy of numerical experiments, non-hydrostatic pressure should be considered explicitly.

DOI: https://doi.org/10.3850/38WC092019-1266

Year: 2019