On the e ect of friction on wind driven shallow lakes
نویسنده
چکیده
The motion of a uid subject to Navier{Stokes equations with Coriolis force, to a Robin type traction condition at the surface and to a friction condition at the bottom is investigated. An asymptotic model is derived as the aspect ratio = depth/width of the domain go to 0. When Reynolds number is not too large, this is mathematically justiied and the 3D limit velocity is given in terms of wind, bathymetry, depth and of a 2D potential. Numerical simulation is carried out and the innuence of traction condition reading is experienced.
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