Convergence Of Numerical Solutions Of Free
Convection Equations Obtained By Direct
Method
Author(s)
T. Wlodarczyk & S. Wyczolkowski
Abstract
Convergence of numerical solutions of free
convection equations obtained by direct
method
T. Wlodarczyk" & S. Wyczolkowski&
^Institute of Mechanics and Machine Design
Foundations
^Department of Industrial Furnaces, Technical
University of Czestochowa, ul. Dabrowskiego 73,
ABSTRACT
A new stabilization procedure for solutions of the thermo-
convection equations has been presented. The procedure allow us
to achieve, by using the direct method, the convergent
solutions for the wide range of values for Ra and Pr numbers.
On the examples of single-segmental region (and the problem
formulated in the dimensionless form). The effect of the
attenuation coefficient values of the stabilization procedure
on the convergence of solutions has been described. Also, the
influence of the node numbers and configuration of the
differential grid nodes in the region, on the convergence and
the stabilization rate of solution for various Ra and Pr
Keywords
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