The selective frequency damping (SFD) method is an alternative to classicalNewton's method to obtain unstable steady-state solutions of dynamical systems.However this method has two main limitations: it does not converge forarbitrary control parameters; and when it does converge, the time necessary toreach the steady-state solution may be very long. In this paper we present anadaptive algorithm to address these two issues. We show that by evaluating thedominant eigenvalue of a "partially converged" steady flow, we can select acontrol coefficient and a filter width that ensure an optimum convergence ofthe SFD method. We apply this adaptive method to several classical test casesof computational fluid dynamics and we show that a steady-state solution can beobtained without any a priori knowledge of the flow stability properties.
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