Separated incompressible viscous flows around wings and airfoils are simulated by the numerical solution of the unsteady Navier-Stokes equations at low Reynolds number. The nonlinear equations are minimized in the Sobolev-Space H** minus **1 ( OMEGA ). It is shown that this method amounts to a sequence of optimal control problems with the Stokes equations as dynamics (state system). A fast solver is used for the Stokes equations based on a new mixed formulation. The formulation is discretized in finite elements. The mixed formulation can be decomposed into elementary standard Dirichlet problems. The optimal control problem is solved by a conjugate gradient method. Thus, although the method is fully implicit in time, it amounts to solving a few Dirichlet equations at each iteration.
|Number of pages||14|
|Publication status||Published - 1978|
|Event||Numer Methods in Laminar and Turbul Flow, Proc of the Int Conf, 1st - Swansea, Wales|
Duration: 17 Jul 1978 → 21 Jul 1978
|Conference||Numer Methods in Laminar and Turbul Flow, Proc of the Int Conf, 1st|
|Period||17/07/78 → 21/07/78|
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