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논문 기본 정보

자료유형
학술대회자료
저자정보
Tae-Chang JO (인하대학교) Wooyoung CHOI (Center for Applied Mathematics and Statistics) Ricardo BARROS (Center for Applied Mathematics and Statistics)
저널정보
한국산업응용수학회 한국산업응용수학회 학술대회 논문집 KSIAM 2009 Spring Conference
발행연도
2009.5
수록면
187 - 188 (2page)

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Internal waves propagate in the oceans where denser, colder and saltier deep waters meet warmer, fresher and less dense upper waters. These waves evolve due to the bottom topography, currents, and others, and they may contribute significantly to mixing and transpoting energy in the ocean. Packets of large amplitude internal waves have been observed in many coastal regions around the world. However, understanding dynamics of a large amplitude wave is difficult comparing to that of a small amplitude wave because of its strong nonlinearity. Although the generation and evolution of internal waves over variable topography are governed by three dimensional Navier-Stokes equations, they are computationally too expensive to describe the evolution of such strongly nonlinear long waves over a large area. Hence, approximated models derived from the Navier-Stokes equations or Euler equations have been developed in many ways for real applications. Each model relies on an assumption regarding the relative importance of the nonlinear and dispersive terms in the asymtotic expansion procedure. The ratio of wave amplitude to characteristic vertical length scale such as the thickness of the upper mixed layer is typically O(1) and most theoretical models developed for weakly nonlinear waves are often inapplicable [4].
It has been shown that the strongly nonlinear long-wave models [3] for two-layer system obtained without the classical small-amplitude assumption is a good approximation to the Euler equations even for the strongly nonlinear regime as long as its traveling wave solutions are concerned [1]. The model also shows excellent agreement with laboratory experiments for the shallow and deep water configurations, respectively. Despite their success in describing traveling solitary wave solutions, the strongly nonlinear models have not been used much to solve time-dependent internal wave problems. In particular, a major difficulty in ... 전체 초록 보기

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