Non-Symmetric Convective Flows in Laterally Heated Rectangular Cavities

A. Yu Gelfgat; P. Z. Bar-Yoseph; A. L. Yarin

doi:10.1080/10618569908940879

Non-Symmetric Convective Flows in Laterally Heated Rectangular Cavities

A. Yu Gelfgat, P. Z. Bar-Yoseph, A. L. Yarin

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Bifurcations of central symmetry breaking and stability of nonsymmetric states of buoyancy-driven convection in laterally heated cavities are studied numerically. The calculations are carried out using two independent numerical approaches. Stability and weakly nonlinear analysis of the calculated bifurcations are studied by the spectral Galerkin method. Time-marching calculations are carried out using the finite volume method. By applying two independent numerical approaches the subcritical steady flows, their stability, the transitions between different states and flows at small and large supercriticalities are comprehensively investigated. It is shown how these numerical techniques can be applied for interpreting a particular experimental result.

Original language	English
Pages (from-to)	261-273
Number of pages	13
Journal	International Journal of Computational Fluid Dynamics
Volume	11
Issue number	3-4
DOIs	https://doi.org/10.1080/10618569908940879
Publication status	Published - 1999

Bibliographical note

Funding Information:
This research was supported by the GermanIsraeli Foundation for Scientific Research and Development, grant No. 1-284.046, 10/93.

Keywords

Bifurcation
Buoyancy-driven convection
Convective flows
Spectral Galerkin method
Stability

ASJC Scopus subject areas

Computational Mechanics
Aerospace Engineering
Condensed Matter Physics
Energy Engineering and Power Technology
Mechanics of Materials
Mechanical Engineering

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10.1080/10618569908940879

Cite this

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title = "Non-Symmetric Convective Flows in Laterally Heated Rectangular Cavities",

abstract = "Bifurcations of central symmetry breaking and stability of nonsymmetric states of buoyancy-driven convection in laterally heated cavities are studied numerically. The calculations are carried out using two independent numerical approaches. Stability and weakly nonlinear analysis of the calculated bifurcations are studied by the spectral Galerkin method. Time-marching calculations are carried out using the finite volume method. By applying two independent numerical approaches the subcritical steady flows, their stability, the transitions between different states and flows at small and large supercriticalities are comprehensively investigated. It is shown how these numerical techniques can be applied for interpreting a particular experimental result.",

keywords = "Bifurcation, Buoyancy-driven convection, Convective flows, Spectral Galerkin method, Stability",

author = "Gelfgat, {A. Yu} and Bar-Yoseph, {P. Z.} and Yarin, {A. L.}",

note = "Funding Information: This research was supported by the GermanIsraeli Foundation for Scientific Research and Development, grant No. 1-284.046, 10/93.",

year = "1999",

doi = "10.1080/10618569908940879",

language = "English",

volume = "11",

pages = "261--273",

journal = "International Journal of Computational Fluid Dynamics",

issn = "1061-8562",

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TY - JOUR

T1 - Non-Symmetric Convective Flows in Laterally Heated Rectangular Cavities

AU - Gelfgat, A. Yu

AU - Bar-Yoseph, P. Z.

AU - Yarin, A. L.

N1 - Funding Information: This research was supported by the GermanIsraeli Foundation for Scientific Research and Development, grant No. 1-284.046, 10/93.

PY - 1999

Y1 - 1999

N2 - Bifurcations of central symmetry breaking and stability of nonsymmetric states of buoyancy-driven convection in laterally heated cavities are studied numerically. The calculations are carried out using two independent numerical approaches. Stability and weakly nonlinear analysis of the calculated bifurcations are studied by the spectral Galerkin method. Time-marching calculations are carried out using the finite volume method. By applying two independent numerical approaches the subcritical steady flows, their stability, the transitions between different states and flows at small and large supercriticalities are comprehensively investigated. It is shown how these numerical techniques can be applied for interpreting a particular experimental result.

AB - Bifurcations of central symmetry breaking and stability of nonsymmetric states of buoyancy-driven convection in laterally heated cavities are studied numerically. The calculations are carried out using two independent numerical approaches. Stability and weakly nonlinear analysis of the calculated bifurcations are studied by the spectral Galerkin method. Time-marching calculations are carried out using the finite volume method. By applying two independent numerical approaches the subcritical steady flows, their stability, the transitions between different states and flows at small and large supercriticalities are comprehensively investigated. It is shown how these numerical techniques can be applied for interpreting a particular experimental result.

KW - Bifurcation

KW - Buoyancy-driven convection

KW - Convective flows

KW - Spectral Galerkin method

KW - Stability

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DO - 10.1080/10618569908940879

M3 - Article

AN - SCOPUS:0033441538

SN - 1061-8562

VL - 11

SP - 261

EP - 273

JO - International Journal of Computational Fluid Dynamics

JF - International Journal of Computational Fluid Dynamics

IS - 3-4

ER -

Non-Symmetric Convective Flows in Laterally Heated Rectangular Cavities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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