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
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