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.

  • $\begingroup$ 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

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.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.