Wind-induced motion of water in shallow-water closed basins

Abstract

The motion of water induced by tangential wind stresses in a circular basin of finite depth is studied by the finite-element method. The dependences of vertical displacements of the surface of the basin and the field of horizontal wave currents on the topography of the bottom and the direction of the wind are analyzed. The transformations of wind-induced disturbances observed after termination of the wind action are investigated.

Thermohydrodynamics of the ocean decay of nonlinear oscillations in a bounded basin of variable depth

“…We now formulate the finite-element statement of the analyzed problem [4][5][6]. If q 1, 2 and H are described by using the same interpolating functions φ, i.e.,…”

“…The computational region and the analyzed types of the bottom morphology are similar to those presented in [4]. We consider the cases of plane bottom with h = 5 m (version 1), convex parabolic bottom (version 2), and concave bottom (version 3).…”

“…The seiche oscillations formed in the Black Sea and Sea of Azov are studied in the long-wave-theory approximation in [2,3]. In [4], the motion of water induced by tangential wind stresses in a round basin of finite depth is analyzed by the finite-element method without taking into account the effects of bottom friction and convective acceleration.…”

Flume experiments on wind induced flow in static water bodies in the presence of protruding vegetation

“…Studies like Baines and Knapp (1965); Cheung and Street (1988); Goossens et al (1982); Komori et al (1993); Kranenburg (1987); Langmuir et al (1938); Longo et al (2012); Sanjou et al (2010); Sanjou and Nezu (2011); Tsanis and Leutheusser (1988); Tsanis (1989); Wu (1975) have reported experimental investigation of wind induced water currents, focusing on both the surface motion and the counter-current flow but without vegetation. Some studies have discussed a simple analytical model of wind set-up by constructing one, two and three dimensional models and engineering models for wind induced counter-current flow but without any vegetation (Bukatov and Zavyalov, 2004;Belcher et al, 1994;Cioffi et al, 2005;Harris et al, 1996;Hunter and Hearn, 1987;Jin and Kranenburg, 1993;Koçyigit and Koçyigit, 2004;Meyer, 2011;Rodi, 1980;Wu and Tsanis, 1995;Yang, 2001;Yang et al, 2008). The role of waves in vegetated system has been considered, but in these cases, the entire wave was imposed on the vegetation primarily to mimic tidal systems so as to study wave attenuation, equivalent bed roughness and friction factor inside aquatic vegetation canopy under wave forcing (Bradley and Houser, 2009;Fonseca and Cahalan, 1992;Hansen and Reidenbach, 2011;Infantes et al, 2012;Kobayashi et al, 1993;Manca et al, 2012;Mendez and Losada, 2004;Riffe et al, 2011;Thomas and Cornelisen, 2003).…”

Effects of spatial wind inhomogeneity and turbulence anisotropy on circulation in an elongated basin: A simplified analytical solution

“…Despite the hydrodynamics being inherently three-dimensional, in particular in those cases where thermal stratification is important and hence the vertical variability strongly affects the solution, it is common to study such a problem by means of depth-averaged models (e.g. [26,30,3,28]). Depth-averaged models are much less time-consuming than three-dimensional models, but unfortunately they implicitly neglect that vertical circulation may be important.…”