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International Conference on Numerical Analysis and Its Applications

NAA 2008: Numerical Analysis and Its Applications pp 377–383Cite as

Numerical Study of Rayleigh-Benard Convection in a Rectangular Box

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

Abstract

Numerical study for convective instability of a liquid with linear vertical initial temperature profile in a closed box is presented. The paper provides stability analysis of two-dimensional rolls. Results are compared with R. Krishnamurti, F.H. Busse and coworkers data.

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References

  1. Schlüter, A., Lortz, D., Busse, F.: On the stability of steady finite amplitude convection. Journal of Fluid Mechanics 23, 129–144 (1965)

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  2. Hohenberg, P.C., Cross, M.C.: An introduction to pattern formation in nonequilibrium systems. In: Garido, L. (ed.) Fluctuations and Stochastic Phenomena in Condensed Matter Physics. Lecture Notes in Physics, vol. 268, p. 55. Springer, New York (1981)

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  3. Gershuni, G.Z., Zhukhovitskii, E.M.: Convective stability of incompressible fluids. Nauka, Moscow (1972) (in Russian)

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  4. Belotserkovskii, O.M.: Numerical modelling in mechanics of continua. Nauka, Moscow (1984) (in Russian)

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  5. Kolmychkov, V.V., Mazhorova, O.S., Popov, Y.P.: Computer Simulation for Subcritical Convection in Multi-Component Alloys. Journal of Mathematical Modelling and Analysis 11(1), 57–71 (2006)

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  6. Vinsome, P.K.: An orthomin, an iterative method for solving sparse set of simultaneous linear equations. In: Proc. 4 Symp. Reservoir simulation. Soc. Petroleum Eng. AIME, pp. 149–159 (1976)

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Author information

Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics RAS, Miusskaya Sq.4, 125047, Moscow, Russia

    V. V. Kolmychkov, O. S. Mazhorova, Yu. P. Popov & O. V. Shcheritsa

Authors
  1. V. V. Kolmychkov
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  2. O. S. Mazhorova
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  3. Yu. P. Popov
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  4. O. V. Shcheritsa
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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© 2009 Springer-Verlag Berlin Heidelberg

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Kolmychkov, V.V., Mazhorova, O.S., Popov, Y.P., Shcheritsa, O.V. (2009). Numerical Study of Rayleigh-Benard Convection in a Rectangular Box. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_42

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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