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@article{Jordi:2015:10.1063/1.4932107,
author = {Jordi, BE and Cotter, CJ and Sherwin, SJ},
doi = {10.1063/1.4932107},
journal = {Physics of Fluids},
title = {An adaptive selective frequency damping method},
url = {http://dx.doi.org/10.1063/1.4932107},
volume = {27},
year = {2015}
}

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TY  - JOUR
AB  - The selective frequency damping (SFD) method is an alternative to classical Newton’smethod to obtain unstable steady-state solutions of dynamical systems. However, thismethod has two main limitations: it does not converge for arbitrary control parameters,and when it does converge, the time necessary to reach a steady-state solution may bevery 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” steadyflow, we can select a control coefficient and a filter width that ensure an optimumconvergence of the SFD method. We apply this adaptive method to several classicaltest cases of computational fluid dynamics and we show that a steady-state solution canbe obtained with a very limited (or without any) a priori knowledge of the flow stabilityproperties
AU  - Jordi,BE
AU  - Cotter,CJ
AU  - Sherwin,SJ
DO  - 10.1063/1.4932107
PY  - 2015///
SN  - 1089-7666
TI  - An adaptive selective frequency damping method
T2  - Physics of Fluids
UR  - http://dx.doi.org/10.1063/1.4932107
UR  - http://hdl.handle.net/10044/1/27024
VL  - 27
ER  -

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