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Lid-driven cavity problem

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Introduction

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 (Find the reference again), 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.

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