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Massively parallel finite element computation of incompressible flows involving fluid-body interactions. (English) Zbl 0846.76048
We describe massively parallel finite element computations of unsteady incompressible flows involving fluid-body interactions. These computations are based on the deforming-spatial-domain/stabilized-space-time finite element formulation. Unsteady flows past a stationary NACA \(0012\) airfoil are computed for Reynolds numbers \(1000\), \(5000\) and \(100 000\). Significantly different flow patterns are observed for these three cases. The method is then applied to computation of the dynamics of an airfoil falling in a viscous fluid under the influence of gravity. All these computations were carried out on the Thinking Machines CM-200 and CM-5 supercomputers. The implicit equation systems arising from the finite element discretizations of these large-scale problems are solved iteratively by using the GMRES update technique with diagonal preconditioners.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
65Y05 Parallel numerical computation
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