An adaptive selective frequency damping method
File(s)
Published version
Accepted version
Author(s)
Jordi, BE
Cotter, CJ
Sherwin, SJ
Type
Journal Article
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 a 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 with a very limited (or without any) a priori knowledge of the flow stability
properties
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 a 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 with a very limited (or without any) a priori knowledge of the flow stability
properties
Date Issued
2015-09-29
Date Acceptance
2015-09-16
Citation
Physics of Fluids, 2015, 27 (9)
ISSN
1089-7666
Publisher
American Institute of Physics (AIP)
Journal / Book Title
Physics of Fluids
Volume
27
Issue
9
Copyright Statement
© 2015 AIP Publishing LLC
Sponsor
Commission of the European Communities
McLaren Racing Limited
Grant Number
PITN-GA-2011-289428
AEDZ_P42726
Subjects
Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
ROTATING CIRCULAR-CYLINDER
NAVIER-STOKES EQUATIONS
INSTABILITY
FLOW
Publication Status
Published
Article Number
094104