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. ISSN 0021-9991


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[Abstract]: An overview of various numerical techniques used to determine the spatio-temporal character of instabilities in fluid flows is given.
The advantageous features of various previously known individual techniques are discussed and a practical procedure combining them is suggested for a specific task of determining the complete boundary between linearly convectively and absolutely unstable regimes in a multi-parameter space in problems with a fully numerical dispersion relation.
Special attention is paid to aspects of automatization of computations as this is a crucial condition for their efficiency.
The suggested procedure is successfully used and is shown to provide a high degree of automatism in the physical example of non-Boussinesq mixed convection in a vertical channel.
This example comprises most of the major numerical difficulties found in various spatio-temporal instability studies of two-dimensional fluid flows which previously could not be handled without frequent human intervention and visual inspection of intermediate results.
This paper focuses on the general numerical aspects of the computations leaving the detailed discussion of the obtained physical results for a separate publication.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Deposited in accordance with the copyright policy of the publisher. Copyright 2006 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.
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited: 11 Oct 2007 00:19
Last Modified: 02 Jul 2013 22:31
Uncontrolled Keywords: convective/absolute instability transition; Eigenvalue tracking
Fields of Research (2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0105 Mathematical Physics > 010599 Mathematical Physics not elsewhere classified
03 Chemical Sciences > 0307 Theoretical and Computational Chemistry > 030799 Theoretical and Computational Chemistry not elsewhere classified
Fields of Research (2020): 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics
49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490299 Mathematical physics not elsewhere classified
34 CHEMICAL SCIENCES > 3407 Theoretical and computational chemistry > 340799 Theoretical and computational chemistry not elsewhere classified
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