NDLI: Limitations of depth-averaged modelling of shallow flows with recirculations

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Limitations of depth-averaged modelling of shallow flows with recirculations

Content Provider	Scilit
Author	Stansby, P. K.
Copyright Year	2007
Description	Depth-averaged modelling of shallow flows is widely used with greater computational efficiency than 3-D modelling. Limitations for recirculating flows are reviewed here and some new analysis is presented. The shallow wakes of a conical island of small slope have been predicted by a 3-D, hydrostatic-pressure, boundary-layer model using a 3-D, two-mixing-length, eddy-viscosity, turbulence model. Wakes may be stable or vortex shedding. With the horizontal mixing length about six times the vertical Prandtl values good predictions were obtained. A 2-D, depth-averaged model may have the same form of horizontal mixing but the bed shear stress can only be given by an empirical formula based on parallel flow conditions. Depth-averaged wakes show a much greater tendency to be unstable because in 3-D the horizontal and vertical strain rates modify eddy viscosity and as a consequence increase bed shear stress above that given by a formula based on parallel flow. Book Name: Numerical Modelling of Hydrodynamics for Water Resources
Related Links	https://content.taylorfrancis.com/books/download?dac=C2007-0-02560-2&isbn=9780429077173&doi=10.1201/9781482288513-9&format=pdf
Ending Page	138
Page Count	12
Starting Page	127
DOI	10.1201/9781482288513-9
Language	English
Publisher	Informa UK Limited
Publisher Date	2007-09-17
Access Restriction	Open
Subject Keyword	Book Name: Numerical Modelling of Hydrodynamics for Water Resources Fluids and Plasmas Physics Stress Mixing Horizontal Wakes Flows Depth Averaged Recirculating Averaged Modelling
Content Type	Text
Resource Type	Chapter

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