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Fluid Dynamics Seminar

Wednesday, Oct. 6, 2010, 2:45 PM
Cullimore Lecture Hall, Room 611
New Jersey Institute of Technology

Evolution of large amplitude internal solitary waves using a regularized model

Arnaud Goullet

Dept. Mathematical Sciences, NJIT

Abstract

After a brief overview on internal waves in the ocean, we will introduce a regularized model for the evolution of strongly nonlinear internal waves. The ocean is simplified to a two-layer model with different fluid densities. The fluid is considered to be inviscid, irrotational and with constant density in each layer. The time evolution equations are solved numerically using a pseudo-spectral method along with a fourth order Runge-Kutta time integration scheme. We will show some preliminary results on nonlinear interaction between internal solitary waves. By including the effect of varying bottom topography, we will present some numerical simulations on the interaction of large solitary waves with bottom topography.