Stationary gravity waves with the zero mean vorticity in stratified fluid
Article
Article Title | Stationary gravity waves with the zero mean vorticity in stratified fluid |
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ERA Journal ID | 406 |
Article Category | Article |
Authors | Clamond, D. (Author) and Stepanyants, Y. (Author) |
Journal Title | Studies in Applied Mathematics |
Journal Citation | 128 (1), pp. 59-85 |
Number of Pages | 27 |
Year | 2012 |
Place of Publication | Hoboken, NJ. United States |
ISSN | 0022-2526 |
1467-9590 | |
Digital Object Identifier (DOI) | https://doi.org/10.1111/j.1467-9590.2011.00530.x |
Web Address (URL) | http://onlinelibrary.wiley.com/doi/10.1111/j.1467-9590.2011.00530.x/pdf |
Abstract | A new approach to the description of stationary plane waves in ideal density stratified incompressible fluid is considered without application of the Boussinesq approximation. The approach is based on the Dubreil-Jacotin–Long equation with the additional assumption that the mean vorticity of the flow is zero. It is shown that in the linear approximation the spectrum of eigenmodes and corresponding dispersion equations can be found in closed analytical forms for many particular relationships between the fluid density and stream function. Examples are presented for waves of infinitesimal amplitude. Exact expression for the velocity of solitary wave of any amplitude is derived. |
Keywords | gravity waves; internal waves; vorticity; stratified fluid; dispersion relation; linear approximation; stationary waves |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
510105. General relativity and gravitational waves | |
490101. Approximation theory and asymptotic methods | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | University of Nice Sophia Antipolis, France |
Department of Mathematics and Computing | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q126q/stationary-gravity-waves-with-the-zero-mean-vorticity-in-stratified-fluid
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