NUMERICAL ALGORITHM USING MULTIZONE ADAPTIVE GRID GENERATION FOR MULTIPHASE TRANSPORT PROCESSES WITH MOVING AND FREE BOUNDARIES

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Abstract
The primary objective of this study is to develop a numerical scheme far accurate and efficient simulation of phase-change and transport processes of industrial importance. These processes may include a variety of heat transfer and flaw mechanisms in irregularly shaped domains with moving and / or free boundaries. Based on the muttizone adaptive grid generation ( MAGG) technique ( IJ, a curvilinear finite-volume scheme has been developed to discretize the governing equations. The combination of these two techniques provides a powerful tool for numerical modeling of complex transport processes. Several problems are considered to demonstrate the applicability and accuracy of the proposed method. They are ( 1) natural convection in a differentially heated eccentric annuli, ( 2) solidification of a pure material in a rectangular enclosure, ( 3) solidification in an open cavity with shrinkage due to volume change, and ( 4) Czochralski crystal growth of silicon. The predictions show good agreement with experimental data, much better than the previously reported numerical solutions.

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