Multiple solutions in lid-driven cavity flows I. Parallel wall motion

It was shown previously that the two-sided lid-driven cavity problem has mu ltiple 2- and 3-dimensional solutions for certain parameters. We systematic ally investigate 2-dimensional solutions in a wide parameter range using a finite volume method. By tracking methods we find new solutions which break the symmetry of the two-sided symmetrically lid-driven cavity flow. These solution can be traced for non-symmetric boundary conditions. We present th e complex solution structure for several 2- and 3-dimensional cuts of the s olution manifold in the parameter space.