Searching convective/absolute instability boundary for flows with fully numerical dispersion relation

Article

Suslov, Sergey A.. 2001. "Searching convective/absolute instability boundary for flows with fully numerical dispersion relation." Computer Physics Communications. 142 (1-3), pp. 322-325. https://doi.org/10.1016/S0010-4655(01)00360-5
Article Title

Searching convective/absolute instability boundary for flows with fully numerical dispersion relation

ERA Journal ID962
Article CategoryArticle
Authors
AuthorSuslov, Sergey A.
Journal TitleComputer Physics Communications
Journal Citation142 (1-3), pp. 322-325
Number of Pages4
Year2001
Place of PublicationNetherlands
ISSN0010-4655
1386-9485
1879-2944
Digital Object Identifier (DOI)https://doi.org/10.1016/S0010-4655(01)00360-5
Web Address (URL)https://www.sciencedirect.com/science/article/abs/pii/S0010465501003605
Abstract

The numerical aspects of finding a complete boundary separating regions of convective and absolute instabilities are discussed in the example of mixed convection flow. The dispersion relation associated with the flow is fully numerical and thus the problem of distinguishing its branches in a complex wave number/frequency space arises when the spatio-temporal instability theory is used to analyse the flow. This paper suggests an algorithm to resolve such a difficulty and applies it to obtain stability results for a wide range of physical parameters governing the example flow.

Keywordsspatio-temporal instabilities; convective/absolute instability; dispersion relation
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
Public Notes

Deposited in accordance with the copyright policy of the publisher. Copyright 2001 Elsevier This is the authors' version of the work. It is posted here with permission of the publisher for your personal use. No further distribution is permitted.

Byline AffiliationsComputational Engineering and Science Research Centre
Permalink -

https://research.usq.edu.au/item/9y335/searching-convective-absolute-instability-boundary-for-flows-with-fully-numerical-dispersion-relation

Log in to edit
  • 1969
    total views
  • 211
    total downloads
  • 0
    views this month
  • 0
    downloads this month

Export as

Related outputs

Magnetic flux density distribution in axial flux machine cores
Hewitt, Andrew, Ahfock, Tony L. and Suslov, Sergey A.. 2005. "Magnetic flux density distribution in axial flux machine cores." IET Electric Power Applications. 152 (2), pp. 192-196. https://doi.org/10.1049/ip-epa:20055039
Multi-mode spatio-temporal instability in non-Boussinesq convection
Suslov, Sergey A.. 2004. "Multi-mode spatio-temporal instability in non-Boussinesq convection." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal.
Convective and absolute instabilities in non-Boussinesq mixed convection
Suslov, Sergey A.. 2007. "Convective and absolute instabilities in non-Boussinesq mixed convection ." Theoretical and Computational Fluid Dynamics. 21 (4), pp. 271-290. https://doi.org/10.107/s00162-007-0049-y
A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8
Suslov, Sergey A. and Paolucci, Samuel. 2002. "A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8." International Journal for Numerical Methods in Fluids. 40 (8), pp. 999-1007. https://doi.org/10.1002/fld.386
Numerical aspects of searching convective/absolute instability transition
Suslov, Sergey A.. 2005. "Numerical aspects of searching convective/absolute instability transition." Journal of Computational Physics. 212 (1), pp. 188-217. https://doi.org/10.1016/j.jcp.2005.06.017
Analysis of coupling between hydrodynamic and thermal instabilities in non-Boussinesq convection
Suslov, Sergey A.. 2005. "Analysis of coupling between hydrodynamic and thermal instabilities in non-Boussinesq convection." Nonlinear Analysis Theory Methods and Applications. 63 (5-7), pp. e1435-e1443. https://doi.org/10.1016/j.na.2005.01.057
Magneto-hydrodynamic interaction in a vertical slot filled with ferrofluid
Bozhko, Alexandra A., Suslov, Sergey A. and Putin, Gennady F.. 2008. "Magneto-hydrodynamic interaction in a vertical slot filled with ferrofluid." Alemany, A., Chopart, Jean-Paul and Freibergs, J. (ed.) 7th PAMIR International Conference on Fundamental and Applied MHD. Giens Peninsula, France 08 - 12 Sep 2008 Grenoble, France.
Stability of plane Poiseuille flow of a fluid with pressure-dependent viscosity
Tran, Thien Duc and Suslov, Sergey A.. 2008. "Stability of plane Poiseuille flow of a fluid with pressure-dependent viscosity ." Denier, J., Finn, M. D. and Mattner, T. (ed.) 22nd International Congress of Theoretical and Applied Mechanics ICTAM 2008. Adelaide, Australia 24 - 29 Aug 2008 Adelaide, Australia.
Thermo-magneto-convective instabilities in a vertical layer of ferro-magnetic fluid
Suslov, Sergey A., Bozhko, Alexandra A. and Putin, Gennady F.. 2008. "Thermo-magneto-convective instabilities in a vertical layer of ferro-magnetic fluid." Indeitsev, Dmitry A. (ed.) 36th International Conference Advanced Problems in Mechanics. Repino, Russia 06 - 10 Jul 2008 St Petersburg, Russia.
Stability of plane Poiseuille-Couette flows of a piezo-viscous fluid
Tran, Thien Duc and Suslov, Sergey A.. 2009. "Stability of plane Poiseuille-Couette flows of a piezo-viscous fluid." Journal of Non-Newtonian Fluid Mechanics. 156 (3), pp. 139-149. https://doi.org/10.1016/j.jnnfm.2008.07.009
Analysis of instability patterns in non-Boussinesq mixed convection using a direct numerical evaluation of disturbance integrals
Suslov, Sergey A.. 2009. "Analysis of instability patterns in non-Boussinesq mixed convection using a direct numerical evaluation of disturbance integrals." Computers and Fluids. 38 (3), pp. 590-601. https://doi.org/10.1016/j.compfluid.2008.06.002
Advection-dispersion in symmetric field-flow fractionation channels
Suslov, Sergey A. and Roberts, A. J.. 1998. Advection-dispersion in symmetric field-flow fractionation channels. Toowoomba, Australia. University of Southern Queensland.
Bifurcations in convection of incompressible fluid in a rotated square cylinder
Sharifulin, Albert and Suslov, Sergey A.. 2008. "Bifurcations in convection of incompressible fluid in a rotated square cylinder." Denier, J., Finn, M. D. and Mattner, T. (ed.) 22nd International Congress of Theoretical and Applied Mechanics ICTAM 2008. Adelaide, Australia 24 - 29 Aug 2008 Adelaide, Australia.
Revisiting plane Couette-Poiseuille flows of a piezo-viscous fluid
Suslov, Sergey A. and Tran, Thien Duc. 2008. "Revisiting plane Couette-Poiseuille flows of a piezo-viscous fluid." Journal of Non-Newtonian Fluid Mechanics. 154 (2-3), pp. 170-178. https://doi.org/10.1016/j.jnnfm.2008.04.010.
Thermo-magnetic convection in a vertical layer of ferromagnetic fluid
Suslov, Sergey A.. 2008. "Thermo-magnetic convection in a vertical layer of ferromagnetic fluid." Physics of Fluids. 20 (8), pp. 084101-084118. https://doi.org/10.1063/1.2952596
Phenomenological approach to 3D spinning combustion waves: numerical experiments with a rectangular rod
Strunin, Dmitry V. and Suslov, Sergey A.. 2005. "Phenomenological approach to 3D spinning combustion waves: numerical experiments with a rectangular rod." International Journal of Self Propagating High Temperature Synthesis. 14 (1), pp. 33-39.
New spatio-temporal instability scenarios in non-Boussinesq mixed convection
Suslov, Sergey A.. 2007. "New spatio-temporal instability scenarios in non-Boussinesq mixed convection." Sathyasheelappa, Vinaya K. (ed.) 60th Annual Meeting of the Divison of Fluid Dynamics, American Physical Society. Salt Lake City, United States 18 - 20 Nov 2007 College Park, MD.
Two-equation model of mean flow resonances in subcritical flow systems
Suslov, S. A.. 2008. "Two-equation model of mean flow resonances in subcritical flow systems." Discrete and Continuous Dynamical Systems Series S, Selected Topics. 1 (1), pp. 165-176.
Spatio-temporal instabilities in mixed convection of air subject to large temperature gradient
Suslov, Sergey A.. 2004. "Spatio-temporal instabilities in mixed convection of air subject to large temperature gradient ." Lyubimov, Dmitry V. (ed.) International Conference: Advanced Problems in Thermal Convection (2004). Perm, Russia 24 - 27 Nov 2003 Perm, Russia.
Flow patterns near codimension-2 bifurcation in non-Boussinesq mixed convection
Suslov, Sergey A.. 2002. "Flow patterns near codimension-2 bifurcation in non-Boussinesq mixed convection ." Shalfeev, V. D. (ed.) Progress in Nonlinear Science, International Conference dedicated to the 100th Anniversary of A.A. Andronov. Nizhniy Novgorod, Russia 02 - 06 Jul 2001 Nizniy Novgorod, Russia.
Effect of fluid properties variations on spatio-temporal instability of convection
Suslov, Sergey A.. 2002. "Effect of fluid properties variations on spatio-temporal instability of convection." Indeitsev, Dmitry A. (ed.) APM 2001: 29th Summer School on 'Advanced Problems in Mechanics. Repino, Russia 21 - 30 Jun 2001 St. Petersburg, Russia.
Stability of non-Boussinesq convection via the complex Ginzburg-Landau model
Suslov, Sergey A. and Paolucci, Samuel. 2004. "Stability of non-Boussinesq convection via the complex Ginzburg-Landau model." Fluid Dynamics Research. 35 (3), pp. 159-203. https://doi.org/10.1016/j.fluiddyn.2004.06.002