Publications
Detailed Information
An analytical solution to the extended mild-slope equation for long waves propagating over an axi-symmetric pit
Cited 20 time in
Web of Science
Cited 21 time in Scopus
- Authors
- Issue Date
- 2008
- Publisher
- Elsevier
- Citation
- Wave Motion 45 (2008) 835-845
- Keywords
- Long waves ; Analytic solution ; Extended mild-slope equation ; Axi-symmetric pit
- Description
- author's final version
- Abstract
- An analytic solution to the extended mild-slope equation is derived for long waves propagating over an axi-symmetric pit, where the water depth decreases in proportion to a power of radial distance from the pit center. The solution is obtained using the method of separation of variables and the method of Frobenius. By comparing the extended and conventional mild-slope equations for waves propagating over conical pits with different bottom slopes, it is shown that for long waves the conventional mild-slope equation is reasonably accurate for bottom slopes less than 1:3 in horizontal two-dimensional domains. The effects of the pit shape on wave scattering are discussed based on the analytic solutions for different powers. Comparison is also made with an analytic solution for a cylindrical pit with a vertical sidewall. Finally, wave attenuation in the region over the pit is discussed.
- ISSN
- 0165-2125
- Language
- English
- Files in This Item:
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.