Modelling of wind-induced currents in water basins

Abstract

This paper presents a numerical modelling study into wind-induced currents in shallow water basins. A threedimensional, semi-implicit, finite difference numerical model is described, incorporating non-hydrostatic pressure, based on a sigma-transformed system in the vertical direction. The numerical model was first validated for sloshing in a rectangular tank; excellent agreement was obtained against analytical solutions, provided the nonhydrostatic pressure is incorporated. The model was further verified against experimental data on windinduced circulation in shallow rectangular tanks. It was then used to simulate wind-induced, three-dimensional flow fields in idealised rectangular tanks. A parameter study was carried out for wind-induced flows in Esthwaite Water, and the predictions compared against field data. It is shown that the numerical model is capable of accurately simulating the wind-induced circulation in shallow enclosed water bodies and that the topography and wind stress are of primary importance. The non-hydrostatic pressure does not have a significant effect on the windinduced flow fields considered herein.

Investigation of Temperature Dynamics in Small and Shallow Reservoirs, Case Study: Lake Binaba, Upper East Region of Ghana

“…In the last two decades, an increasing interest in predicting the temperature profiles in reservoirs and lakes has been high due to the correlation between temperature, water quantity and water quality [12]. Transport processes in water bodies are inherently three-dimensional, driven by wind, surface thermodynamics, and the topography of the lake.…”

Highly variable sediment deposition in Lake Imandra, NW Russia, since the Late Pleistocene

“…The restriction of the sediment accumulation of SU Ib to a certain water depth seems to be related to strong wind‐induced surface currents and compensatory currents at greater depths (Koçyigit and Falconer, 2004; Nutz et al ., 2014, 2015). According to recent measurements (Moiseenko et al ., 2002), the depths of the observed wind‐driven surface and reverse subsurface counter‐currents corresponds to the depths where SU Ib is absent or reduced in thickness (Figs.…”

Shallow water model for pollutant distribution in the Ypacarai Lake

“…where 𝑞 = ℎ𝑢. The test case is a channel of 𝑥 = 1000 m, where the inflow condition is a constant discharge of 𝑞=1.5 m 2 s -1, and the outflow condition is The mesh has 200 cells (𝛥𝑥 = 5 m), and the simulation time is 4000 s with a time step (𝛥𝑡) of 1 s (29) . The channel is initially dry (ℎ = 0 m and 𝑞 = 0 m 2 s -1 ), and the steady-state is reached at 1500 s. Figure 3(a) shows the comparison between the reference and obtained data.…”

“…The parameters are the wind stress 𝜏 𝑤𝑖𝑛𝑑 = 0.1 Nm -2 , water density 𝜌 = 1026 kgm -3 and gravity 𝑔= 9.81 ms -2 . The simulation time is 500 h with a time step (𝛥𝑡) of 60 s (29) . The steady-state is reached at 320 h. Figure 3(c) shows the comparison between the reference and obtained data with respect to time 𝑡 = 0.…”