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Volume 12, Issue 5
Numerical Simulation of a Weakly Nonlinear Model for Internal Waves

Robyn Canning Gregory & David P. Nicholls

DOI: 10.4208/cicp.140811.060112a

Commun. Comput. Phys., 12 (2012), pp. 1461-1481.

Published online: 2012-12

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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.

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@Article{CiCP-12-1461, author = {Robyn Canning Gregory and David P. Nicholls}, title = {Numerical Simulation of a Weakly Nonlinear Model for Internal Waves}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {5}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.140811.060112a}, url = {http://global-sci.org/intro/article_detail/cicp/7342.html} }
TY - JOUR T1 - Numerical Simulation of a Weakly Nonlinear Model for Internal Waves AU - Robyn Canning Gregory & David P. Nicholls JO - Communications in Computational Physics VL - 5 SP - 1461 EP - 1481 PY - 2012 DA - 2012/12 SN - 12 DO - http://doi.org/10.4208/cicp.140811.060112a UR - https://global-sci.org/intro/article_detail/cicp/7342.html KW - AB -

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.

Robyn Canning Gregory and David P. Nicholls. (2012). Numerical Simulation of a Weakly Nonlinear Model for Internal Waves. Communications in Computational Physics. 12 (5). 1461-1481. doi:10.4208/cicp.140811.060112a
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