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

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

doi:https://doi.org/10.5194/npg-25-201-2018

Articles | Volume 25, issue 1

https://doi.org/10.5194/npg-25-201-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/npg-25-201-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 25, issue 1

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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Final revised paper (published on 06 Mar 2018)
Preprint (discussion started on 14 Nov 2017)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'review of the manuscript', Anonymous Referee #1, 22 Dec 2017
- AC1: 'Response to reviewer 1 and 2', Joseph Kuehl, 05 Jan 2018
  - EC1: 'further revisions', Juan Restrepo, 08 Jan 2018
RC2: 'Review', Anonymous Referee #2, 04 Jan 2018
- AC2: 'Response to reviewer 1 and 2', Joseph Kuehl, 05 Jan 2018

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Svenja Lange on behalf of the Authors (29 Jan 2018) Author's response

ED: Publish as is (31 Jan 2018) by Juan Restrepo

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.