Strongly nonlinear, simple internal waves in continuously-stratified, shallow fluids
MetadataShow full item record
Strongly nonlinear internal waves in a layer with arbitrary stratification are considered in the hydrostatic approximation. It is shown that "simple waves" having a variable vertical structure can emerge from a wide class of initial conditions. The equations describing such waves have been obtained using the isopycnal coordinate as a variable. Emergence of simple waves from an initial Gaussian impulse is numerically investigated for different density profiles, from two- and three-layer structure to the continuous one. Besides the first mode, examples of second- and third-mode simple waves are given.
© The Author(s), 2011. This article is distributed under the terms of the Creative Commons Attribution 3.0 License. The definitive version was published in Nonlinear Processes in Geophysics 18 (2011): 91-102, doi:10.5194/npg-18-91-2011.
The following license files are associated with this item:
Showing items related by title, author, creator and subject.
Smith, Keston W.; Aretxabaleta, Alfredo L. (Copernicus Publications on behalf of the European Geosciences Union and the American Geophysical Union, 2007-02-01)Expectation maximization (EM) is used to estimate the parameters of a Gaussian Mixture Model for spatial time series data. The method is presented as an alternative and complement to Empirical Orthogonal Function (EOF) ...
Magalhaes, Jorge M.; Araujo, I. B.; da Silva, Jose C. B.; Grimshaw, Roger H. J.; Davis, Kate; Pineda, Jesus (Copernicus Publications on behalf of the European Geosciences Union and the American Geophysical Union, 2011-02-03)The region of the Middle East around the Red Sea (between 32° E and 44° E longitude and 12° N and 28° N latitude) is a currently undocumented hotspot for atmospheric gravity waves (AGWs). Satellite imagery shows evidence ...
Investigating the connection between complexity of isolated trajectories and Lagrangian coherent structures Rypina, Irina I.; Scott, S. E.; Pratt, Lawrence J.; Brown, Michael G. (Copernicus Publications on behalf of the European Geosciences Union and the American Geophysical Union, 2011-12-15)It is argued that the complexity of fluid particle trajectories provides the basis for a new method, referred to as the Complexity Method (CM), for estimation of Lagrangian coherent structures in aperiodic flows that are ...