Numerical aspects of searching convective/absolute instability transition

Article


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
Article Title

Numerical aspects of searching convective/absolute instability transition

ERA Journal ID35103
Article CategoryArticle
Authors
AuthorSuslov, Sergey A.
Journal TitleJournal of Computational Physics
Journal Citation212 (1), pp. 188-217
Number of Pages43
Year2005
Place of PublicationAmsterdam, Netheralnds
ISSN0021-9991
1090-2716
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jcp.2005.06.017
Web Address (URL)http://www.sciencedirect.com/science/journal/00219991
Abstract

[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.

Keywordsconvective/absolute instability transition; Eigenvalue tracking
ANZSRC Field of Research 2020401207. Fundamental and theoretical fluid dynamics
490299. Mathematical physics not elsewhere classified
340799. Theoretical and computational chemistry not elsewhere classified
Public Notes

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.

Byline AffiliationsDepartment of Mathematics and Computing
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