에너지감쇠가 있는 경우 확장형 Boussinesq 방정식에서의 내부 조파

Abstract

Ocean waves are really important to human, especially, for the activities relate to the ocean such as ship navigation, harbor, and seashore protection, etc. To determine wave effects, people conduct field survey, physical experiments or numerical experiments. The former two things take much time and cost while the numerical experiment requires short time and economical cost. For the tool of numerical experiment, Madsen and Sorensen (1992) and Nwogu (1993) derived the extended Boussinesq equations by adding some terms to the governing equations. These equations are able to simulate wave propagation from shallow to deep waters. In the numerical experiment, the technique of internal generation of waves has been used with putting sponge layers at outside boundaries in order specify offshore boundary conditions. It has been known that the waves generated internally propagate with the energy velocity (Lee and Suh, 1998; Lee et al., 2001). Until now, this techinque has been developed for waves without damping.In real sea, waves may experience energy dissipation when passing through porous media orin surf zone. In this study, we develop techniques of internal generation of waves with energy dissipation in the extended Boussinesq equations of Madsen and Sorensen (1992).