Lid-driven cavity problem
The lid-driven cavity problem has long been used a test or validation case for new codes or new solution methods. The problem geometry is simple and two-dimensional, and the boundary conditions are also simple. The standard case is fluid contained in a square domain with Dirichlet boundary conditions on all sides, with three stationary sides and one moving side (with velocity tangent to the side).
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Since this case has been solved many times, there is a great deal of data to compare with. A good set of data for comparison is the data of Ghia, Ghia, and Shin (1982), since it includes tabular results for a number of Reynolds numbers. Other researchers have solved the problem under laminar and turbulent conditions, and aspect ratios other than one have also been used. This problem is also sometimes referred to as the shear-driven cavity problem, though the shear-driven cavity is technically a different problem.
Shown below are a few results from a simulation of the lid-driven cavity (for a Reynolds number of one hundred) using the commercial Fluent code.
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- Ghia, Ghia, and Shin, "?", Journal of Computational Physics, Vol. 48, pp. 387-411, 1982.