×

CABARET scheme for two dimensional thermoconvection problem. (Russian. English summary) Zbl 1357.65143

Summary: In this article we consider two dimensional statement of thermoconvection problem in square domain. For model of heat conducting weakly compressible medium was proposed an explicit difference scheme of second order of approximation. Two standard tests were done with success. Mesh refining gave us convergence of solution. Results were compared with experimental data.

MSC:

65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs
80A20 Heat and mass transfer, heat flow (MSC2010)
80M12 Finite volume methods applied to problems in thermodynamics and heat transfer
PDFBibTeX XMLCite
Full Text: DOI MNR

References:

[1] de Vahl Davis, G., Natural convection of air in a square cavity: a benchmark numerical solution, Int. J. Numer. Meth. Fluids, No. 2, 249-264 (1983) · Zbl 0538.76075
[2] Le Quéré, P., Accurate solutions to the square thermally driven cavity at high Rayleigh number, Comput. Fluids, No. 20, 29-41 (1991) · Zbl 0731.76054
[3] Hortmann, M.; Perić, M.; Scheuerer, G., Finite volume multigrid prediction of laminar natural convection: benchmark solutions, Int. J. Numer. Meth. Fluids, No. 11, 189-207 (1990) · Zbl 0711.76072
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.