Encapsulated formulation of the selective frequency damping method
File(s)
Published version
Accepted version
Author(s)
Jordi, BE
Cotter, CJ
Sherwin, SJ
Type
Journal Article
Abstract
We present an alternative “encapsulated” formulation of the selective frequency
damping method for finding unstable equilibria of dynamical systems, which is
particularly useful when analysing the stability of fluid flows. The formulation makes
use of splitting methods, which means that it can be wrapped around an existing
time-stepping code as a “black box.” The method is first applied to a scalar problem
in order to analyse its stability and highlight the roles of the control coefficient χ
and the filter width in the convergence (or not) towards the steady-state. Then the
steady-state of the incompressible flow past a two-dimensional cylinder at Re = 100,
obtained with a code which implements the spectral/hp element method, is presented.
damping method for finding unstable equilibria of dynamical systems, which is
particularly useful when analysing the stability of fluid flows. The formulation makes
use of splitting methods, which means that it can be wrapped around an existing
time-stepping code as a “black box.” The method is first applied to a scalar problem
in order to analyse its stability and highlight the roles of the control coefficient χ
and the filter width in the convergence (or not) towards the steady-state. Then the
steady-state of the incompressible flow past a two-dimensional cylinder at Re = 100,
obtained with a code which implements the spectral/hp element method, is presented.
Date Issued
2014-03-11
Date Acceptance
2014-02-21
Citation
Physics of Fluids, 2014, 26 (3)
ISSN
1089-7666
Publisher
American Institute of Physics (AIP)
Journal / Book Title
Physics of Fluids
Volume
26
Issue
3
Copyright Statement
© 2014 AIP Publishing LLC.
Subjects
Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
MECHANICS
PHYSICS, FLUIDS & PLASMAS
NAVIER-STOKES EQUATIONS
FLOW
INSTABILITIES
CYLINDER
STEADY
MODEL
WAKE
physics.flu-dyn
math.OC
physics.comp-ph
Fluids & Plasmas
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status
Published
Article Number
034101