Numerical Simulation of a Weakly Nonlinear Model for Internal Waves
Robyn Canning Gregory 1, David P. Nicholls 1*1 Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA.
Received 14 August 2011; Accepted (in revised version) 6 January 2012
Available online 8 May 2012
Internal waves arise in a wide array of oceanographic problems of both theoretical and engineering interest. In this contribution we present a new model, valid in the weakly nonlinear regime, for the propagation of disturbances along the interface between two ideal fluid layers of infinite extent and different densities. Additionally, we present a novel high-order/spectral algorithm for its accurate and stable simulation. Numerical validation results and simulations of wave-packet evolution are provided.AMS subject classifications: 76B07, 76B15, 76B55, 65M70
Notice: Undefined variable: pac in /var/www/html/issue/abstract/readabs.php on line 164
Key words: Internal waves, weakly nonlinear waves, high-order spectral methods, Dirichlet Neumann operators, surface formulation.
Email: firstname.lastname@example.org (R. C. Gregory), email@example.com (D. P. Nicholls)