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CABARET Scheme for two-dimensional thermoconvection problem

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Abstract

A two-dimensional formulation of the thermogravitational convection problem in a rectangular closed domain was discussed. For a model of a weakly compressible thermal-transfer medium, an explicit finite-difference scheme of second order was proposed. Experimental calculations of the medium’s fluid in a rectangular closed domain were carried out. The problem was studied in terms of convergence in a set of condensing grids. A comparative analysis between the model and experimental data was conducted on the basis of the calculation results.

Keywords

natural convection CABARET scheme Davis test 

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References

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    G. de Vahl Davis, “Natural convection of air in a square cavity: a benchmark numerical solution,” Int. J. Numer. Meth. Fluids, No. 2, 249–264 (1983).Google Scholar
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    M. Hortmann, M. Perić, and G. Scheuerer, “Finite volume multigrid prediction of laminar natural convection: benchmark solutions,” Int. J. Numer. Meth. Fluids, No. 11, 189–207 (1990).Google Scholar

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© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Nuclear Safety InstituteRussian Academy of SciencesMoscowRussia

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