Numerical Simulation of a Weakly Nonlinear Model for Internal Waves

Numerical Simulation of a Weakly Nonlinear Model for Internal Waves

Year:    2012

Communications in Computational Physics, Vol. 12 (2012), Iss. 5 : pp. 1461–1481

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.140811.060112a

Communications in Computational Physics, Vol. 12 (2012), Iss. 5 : pp. 1461–1481

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords: