%0 Journal Article %1 adou2016numerical %A Adou, J. K. %A Sitionon, G. %A Coulibaly, A. %D 2016 %J Advances and Applications in Fluid Mechanics %K 65m60-pdes-ibvps-finite-elements 76b15-water-waves-gravity-waves 76b47-vortex-flows 76m10-finite-element-methods-in-fluid-mechanics 86a05-hydrology-hydrography-oceanography %N 2 %P 419-426 %R 10.17654/FM019020415 %T Numerical study of the flow in a channel located close to a punctual singular vortex %U http://www.pphmj.com/abstract/9717.htm %V 19 %X We study the flow in a domain composed of a lagoon and a channel both of different depths. The channel connects the lagoon to the ocean so that the domain has an open boundary materialized by the channel entrance. A punctual source located in the ocean creates a singular vortex that generates a constant circulation at the entrance of the channel. Using the Crank-Nicholson scheme and the mixed finite element method, we build a numerical model with the help of the shallow water equations. When the flow is only influenced by the tide, the water free surface evolution in the channel predicted by numerical simulations and observed in the Vridi channel is in agreement. The study of the model taking into account the combined effect of the tide and the punctual singular vortex shows that the fluctuation of the water free surface in a point of the channel increases on the one hand with the intensity of the circulation and on the other hand when the source is located closer to the entrance. However, the circulation is the most influential parameter.

@article{adou2016numerical, abstract = {We study the flow in a domain composed of a lagoon and a channel both of different depths. The channel connects the lagoon to the ocean so that the domain has an open boundary materialized by the channel entrance. A punctual source located in the ocean creates a singular vortex that generates a constant circulation at the entrance of the channel. Using the Crank-Nicholson scheme and the mixed finite element method, we build a numerical model with the help of the shallow water equations. When the flow is only influenced by the tide, the water free surface evolution in the channel predicted by numerical simulations and observed in the Vridi channel is in agreement. The study of the model taking into account the combined effect of the tide and the punctual singular vortex shows that the fluctuation of the water free surface in a point of the channel increases on the one hand with the intensity of the circulation and on the other hand when the source is located closer to the entrance. However, the circulation is the most influential parameter.}, added-at = {2021-05-10T05:20:29.000+0200}, author = {Adou, J. K. and Sitionon, G. and Coulibaly, A.}, biburl = {https://www.bibsonomy.org/bibtex/2de2bc0fcd6ee1d2b14db764da359f93f/gdmcbain}, doi = {10.17654/FM019020415}, interhash = {68903cdf4068f6bdb83fa1e87cc39f96}, intrahash = {de2bc0fcd6ee1d2b14db764da359f93f}, journal = { Advances and Applications in Fluid Mechanics}, keywords = {65m60-pdes-ibvps-finite-elements 76b15-water-waves-gravity-waves 76b47-vortex-flows 76m10-finite-element-methods-in-fluid-mechanics 86a05-hydrology-hydrography-oceanography}, number = 2, pages = {419-426}, timestamp = {2021-05-10T05:20:29.000+0200}, title = {Numerical study of the flow in a channel located close to a punctual singular vortex}, url = {http://www.pphmj.com/abstract/9717.htm}, volume = 19, year = 2016 }