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Fluid mechanics in the driven cavity. (English) Zbl 0988.76006

Annu. Rev. Fluid Mech. 32, 93-136 (2000).
Summary: This review pertains to the body of work dealing with internal recirculating flows generated by the motion of one or more of the containing walls. These flows are not only technologically important, they are of great scientific interst because they display almost all fluid mechanical phenomena in the simplest of geometrical settings. Thus corner eddies, longitudinal vortices, nonuniqueness, transition, and turbulence all occur naturally and can be studied in the same closed geometry. This facilitates the comparison of results from experiment, analysis, and computation over the whole range of Reynolds numbers. Considerable progress has been made in recent years in the understanding of three-dimensional flows and in the study of turbulence. The use of direct numerical simulation appears very promising.
For the entire collection see [Zbl 0944.00031].

MSC:

76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
76Dxx Incompressible viscous fluids
76F65 Direct numerical and large eddy simulation of turbulence
76F06 Transition to turbulence
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