@Article{CiCP-23-315,
author = {Gayaz Khakimzyanov, Denys Dutykh and Zinaida Fedotova},
title = {Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry},
journal = {Communications in Computational Physics},
year = {2018},
volume = {23},
number = {2},
pages = {315--360},
abstract = {<p style="text-align: justify;">The present article is the third part of a series of papers devoted to the shallow
water wave modelling. In this part we investigate the derivation of some long
wave models on a deformed sphere. We propose first a suitable for our purposes
formulation of the full EULER equations on a sphere. Then, by applying the depth-averaging
procedure we derive first a new fully nonlinear weakly dispersive base
model. After this step we show how to obtain some weakly nonlinear models on the
sphere in the so-called BOUSSINESQ regime. We have to say that the proposed base
model contains an additional velocity variable which has to be specified by a closure
relation. Physically, it represents a dispersive correction to the velocity vector. So, the
main outcome of our article should be rather considered as a whole family of long
wave models.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0179c},
url = {http://global-sci.org/intro/article_detail/cicp/10529.html}
}