An adaptive selective frequency damping method
Abstract
The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary control parameters; and when it does converge, the time necessary to reach the steady-state solution may be very long. In this paper we present an adaptive algorithm to address these two issues. We show that by evaluating the dominant eigenvalue of a "partially converged" steady flow, we can select a control coefficient and a filter width that ensure an optimum convergence of the SFD method. We apply this adaptive method to several classical test cases of computational fluid dynamics and we show that a steady-state solution can be obtained without any a priori knowledge of the flow stability properties.
Cite
@article{arxiv.1412.4372,
title = {An adaptive selective frequency damping method},
author = {Bastien E. Jordi and Colin J. Cotter and Spencer J. Sherwin},
journal= {arXiv preprint arXiv:1412.4372},
year = {2015}
}