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I need some clarifications on The Lid-Driven Cavity Problem.

What does it actually mean? I know cavities are bubbles created when a fluid moves through liquid in low pressure zones, but what does the lid-driven cavity actually mean in context? Are we saying we take the bubbles to be of a square cavity? And also, that the lid is the upper part of the square, where the other three sides are no-slip conditions, correct?

I also need more clarifications on:

initial conditions

boundary conditions

free slip and no-slip boundary conditions 

and how to non-dimensionalize the Navier-Stokes equations.

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  • $\begingroup$ Wikipédia has a great article about the non-dimensionalization of NS equations: en.wikipedia.org/wiki/… $\endgroup$ – PackSciences Feb 19 at 21:27
  • $\begingroup$ Also I believe most of your questions belong in MS Physics and not really in MS Mathematics $\endgroup$ – PackSciences Feb 19 at 21:28
  • $\begingroup$ Asked and answered on Physics.SE $\endgroup$ – tpg2114 Feb 19 at 23:14
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It has nothing to do with bubbles. You have a viscous fluid inside a container, which is set into motion by moving the top lid with a certain velocity. It is a good test for numerical solvers because of the low velocity recirculation areas that appear close to the bottom corners.

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