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Numerical Simulation of a Weakly Nonlinear Model for Internal Waves

Published online by Cambridge University Press:  20 August 2015

Robyn Canning Gregory  and
David P. Nicholls
Robyn Canning Gregory*
Affiliation:
Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA
David P. Nicholls*
Affiliation:
Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, USA
*
Email address:rcanni2@uic.edu
Corresponding author.Email address:nicholls@math.uic.edu
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Abstract

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.

Keywords

76B0776B1576B5565M70Internal wavesweakly nonlinear waveshigh-order spectral methodsDirichlet Neumann operatorssurface formulation

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Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 5 , November 2012 , pp. 1461 - 1481
Copyright
Copyright © Global Science Press Limited 2012

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