A new algorithm for moving boundary problems subject to periodic boundary conditions
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 1 January 2006
Abstract
Purpose
The paper aims to introduce a new algorithm based on the boundary integral method developed to solve moving boundary phase change problem subject to all possible cases of cyclic boundary temperature.
Design/methodology/approach
In the present paper, the phase change problem with periodic boundary temperature, which may be above or below the phase change temperature, is analyzed. The analysis is based on applying the boundary integral method in a new numerical algorithm. There are two main topics of the analysis herein. The first one is to study the direct effect of the cyclic boundary temperature on the movement of the moving boundary for various Stefan numbers. The second one is check that the proposed method covers all possible cases of cyclic boundary temperature with respect to the phase change temperature.
Findings
When using the proposed method, it is found an easy mathematical manipulation and the results can be improved when fine time step size used.
Originality/value
The proposed method is a very new method, which can be applied to any case of moving boundary phase change problem subject to any case of cyclic boundary temperature. Also the proposed method takes into consideration different parameters that affect directly on the evolution of the moving boundary such as Stefan number, etc.
Keywords
Citation
Ahmed, S.G. (2006), "A new algorithm for moving boundary problems subject to periodic boundary conditions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 16 No. 1, pp. 18-27. https://doi.org/10.1108/09615530610636937
Publisher
:Emerald Group Publishing Limited
Copyright © 2006, Emerald Group Publishing Limited