Some Experiments with Stability Analysis of Discrete Incompressible Flows in the Lid-Driven Cavity

We present results of a stability analysis of the lid-driven cavity flow based on classical C 0 finite element discretizations of the Navier-Stokes system. Using arc length continuation and subspace iteration to compute the eigenvalues of the tangent operator, we study the dependence of the bifurcation diagram and of the spectrum on the chosen discretization.

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