Moving boundary-moving mesh analysis of freezing process in water-saturated porous media using a combined transfinite interpolation and PDE mapping methods
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Publication Details
Author list: Rattanadecho P., Wongwises S.
Publisher: American Society of Mechanical Engineers
Publication year: 2008
Journal: Journal of Heat Transfer (0022-1481)
Volume number: 130
Issue number: 1
ISSN: 0022-1481
eISSN: 1528-8943
Languages: English-Great Britain (EN-GB)
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Abstract
This paper couples the grid generation algorithm with the heat transport equations and applies them to simulate the thermal behavior of freezing process in water-saturated porous media. Focus is placed on establishing a computationally efficient approach for solving moving boundary heat transfer problem, in two-dimensional structured grids, with specific application to an undirectional solidification problem. Preliminary grids are first generated by an algebraic method, based on a transfinite interpolation method, with subsequent refinement using a partial differential equation (PDE) nwpping (parabolic grid generation) method. A preliminary case study indicates successful implementation of the numerical procedure. A two-dimensional solidification model is then validated against available analytical solution and experimental results and subsequently used as a tool for efficient computational prototyping. The results of the problem are in good agreement with available analytical solution and experimental results. Copyright ฉ 2008 by ASME.
Keywords
PDE mapping, Solidification, Transfinite interpolation