Articles | Volume 25, issue 1
https://doi.org/10.5194/npg-25-201-2018
https://doi.org/10.5194/npg-25-201-2018
Brief communication
 | 
06 Mar 2018
Brief communication |  | 06 Mar 2018

Brief communication: A nonlinear self-similar solution to barotropic flow over varying topography

Ruy Ibanez, Joseph Kuehl, Kalyan Shrestha, and William Anderson

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Latest update: 18 May 2024
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Short summary
We present a nonlinear analytic solution for barotropic flow relevant to the oceanographic slope region. A similarity approach is adopted and the solution takes the form of a Lambert W-function. A more general class of linear solutions is also discussed which take the form of error functions. The equations solved are similar to the heat equation and thus the results may be of interest beyond the geophysical community.