Three-dimensional numerical modelling of wind-driven circulation in a homogeneous lake

Koçyiğit, Müsteyde Baduna; Falconer, Roger Alexander

doi:10.1016/j.advwatres.2004.08.004

Cited by 36 publications

(26 citation statements)

References 21 publications

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“…over steep topography (Kocyigit and Falconer 2004), upwelling (Botte and Kay 2002), deep-water convection (Jones and Marshall 1993), and degeneration of basic-scale waves (Horn et al 2001). The partial differential equations that govern mass and momentum conservation are solved by a generalized implicit method, by which all flow field components (such as three velocity components, pressure, free-surface elevation, and temperature) are solved simultaneously at each time step.…”

Section: Kamarainen Et Al Approaches For Estimating Entrainmentmentioning

confidence: 99%

Estimates of phosphorus entrainment in Lake Mendota: a comparison of one‐dimensional and three‐dimensional approaches

Kamarainen

Yuan

Carpenter

2009

Limnology & Ocean Methods

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Entrainment of phosphorus across the thermocline can be an important nutrient source for phytoplankton in stratified lakes. In eutrophic stratified lakes, seasonal entrainment can be responsible for delayed recovery following a decrease in external phosphorus load. We compared seasonal estimates of entrainment derived from single-and multilocation thermocline migration approaches. Entrainment estimates from these methods were similar. A sampling approach based on a single centralized location produced whole-lake entrainment estimates in general agreement with the mean value from the multilocation approach (the single-location approach reasonably reproduced patterns at a weekly and seasonal time scale). In this study, it was not essential to account for spatial variation in estimating annual rates of entrainment. We also estimated entrainment based on a threedimensional (3-D) hydrodynamic model over a short period of significant thermocline migration. The 3-D model was most useful in exposing spatial and temporal variation in temperature and phosphorus profiles that are otherwise difficult to observe. Spatial variation in phosphorus profiles was associated with upwelling of metalimnetic water represented by the 3-D model. These transient dynamics, though a relatively small portion of an annual phosphorus budget, may supply nutrients to epilimnetic phytoplankton during periods of nutrient limitation. There is a need for further research that combines 3-D hydrodynamic modeling with field collection of biological and chemical data.

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Section: Kamarainen Et Al Approaches For Estimating Entrainmentmentioning

confidence: 99%

Estimates of phosphorus entrainment in Lake Mendota: a comparison of one‐dimensional and three‐dimensional approaches

Kamarainen

Yuan

Carpenter

2009

Limnology & Ocean Methods

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“…For a shallow lake, the wind-induced shear stress on the lake surface can be efficiently transferred downward through the shallow water column to the lakebed, resuspending bed sediments from which nutrients can be released into the ambient water [11][12][13][14][15][16]. The threshold shear stress, beyond which the resuspension of bed sediments will incept, depends on the physiochemical characteristics (e.g., texture, age and compaction) of the sediments [17,18].…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal Distribution of Eutrophication in Lake Tai as Affected by Wind

Zhang

Wang

et al. 2017

Water

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Abstract:One common hypothesis is that wind can affect concentrations of nutrients (i.e., nitrogen and phosphorus) and chlorophyll-a (Chl-a) in shallow lakes. However, the tests of this hypothesis have yet to be conclusive in existing literature. The objective of this study was to use long-term data to examine how wind direction and wind speed affect the spatiotemporal variations of total nitrogen (TN), total phosphorus (TP) and Chl-a in Lake Tai, a typical shallow lake located in east China. The results indicated that the concentrations of nutrients and Chl-a tended to decrease from the northwest to the southeast of Lake Tai, with the highest concentrations in the two leeward bays (namely Meiliang Bay and Zhushan Bay) in the northwestern part of the lake. In addition to possible artificial reasons (e.g., wastewater discharge), the prevalent southeastward winds in warm seasons (i.e., spring and summer) and northwestward winds in cool seasons (i.e., fall and winter) might be the major natural factor for such a northwest-southeast decreasing spatial pattern. For the lake as a whole, the concentrations of TN, TP and Chl-a were highest for a wind speed between 2.1 and 3.2 m·s −1 , which can be attributed to the idea that the wind-induced drifting and mixing effects might be dominant in the bays while the wind-induced drifting and resuspension effects could be more important in the other parts of the lake. Given that the water depth of the bays was relatively larger than that of the other parts, the drifting and mixing effects were likely dominant in the bays, as indicated by the negative relationships between the ratios of wind speed to lake depth, which can be a surrogate for the vertical distribution of wind-induced shear stress and the TN, TP and Chl-a concentration. Moreover, the decreasing temporal trend of wind speed in combination with the ongoing anthropogenic activities will likely increase the challenge for dealing with the eutrophication problem of Lake Tai.

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“…The role of the Coriolis acceleration is not considered. The pressure is assumed hydrostatically distributed, as it is usually done in the case of shallow water; in fact, the hydrodynamic pressure is usually small in steady conditions and far from the steep shores [12] in relatively deep lakes as well. Finally, turbulence is considered anisotropic due to vertical density stratification.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…An estimate of the importance of the term R 2 in the momentum equation (12) can be assessed by comparing its order of magnitude,…”

Section: Appendix a Negligibility Of The Baroclinic Termmentioning

confidence: 99%

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

Toffolon

Rizzi²

2009

Advances in Water Resources

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Three-dimensional numerical modelling of wind-driven circulation in a homogeneous lake

Cited by 36 publications

References 21 publications

Estimates of phosphorus entrainment in Lake Mendota: a comparison of one‐dimensional and three‐dimensional approaches

Estimates of phosphorus entrainment in Lake Mendota: a comparison of one‐dimensional and three‐dimensional approaches

Spatiotemporal Distribution of Eutrophication in Lake Tai as Affected by Wind

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

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