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.
Suggested CitationArticle: Ostrovsky, L. A., Helfrich, Karl R., "Strongly nonlinear, simple internal waves in continuously-stratified, shallow fluids", Nonlinear Processes in Geophysics 18 (2011): 91-102, DOI:10.5194/npg-18-91-2011, https://hdl.handle.net/1912/4422
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) ...
Rypina, Irina I.; Pratt, Lawrence J. (Copernicus Publications on behalf of the European Geosciences Union&the American Geophysical Union, 2017-05-03)Fluid parcels can exchange water properties when coming into contact with each other, leading to mixing. The trajectory encounter mass and a related simplified quantity, the encounter volume, are introduced as a measure ...
Gebbie, Geoffrey A.; Hsieh, Tsung-Lin (Copernicus Publications on behalf of the European Geosciences Union & the American Geophysical Union, 2017-07-19)The Lagrange multiplier method for combining observations and models (i.e., the adjoint method or "4D-VAR") has been avoided or approximated when the numerical model is highly nonlinear or chaotic. This approach has been ...