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International Journal for Multiscale Computational Engineering
A Multiscale Approach to Numerical Modeling of Solidification
Institute of Matematics and Computer Science, Czestochowa University of Technology, 42-200 Czestochowa, Dabrowskiego 73, Poland
In this paper the multiscale approach to numerical modeling of solidification on the micro/macro level is presented. Two kinds of meshes are used. The casting domain is covered by the mesh of regular macrocells, and in every macrocell the mesh of control volumes is generated. The control volumes correspond to the final shape of grains and they are approximated by Thiessen polygons (a 2D task), while their central points correspond to the initial positions of nuclei (generated in a random way). The changes of the temporary volumetric fraction of solid at the considered point from the casting domain results from the laws determining the nucleation and nuclei growth. In order to solve the problem the control volume method is applied. In the final part of the paper an example of computation is shown.
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