抄録
An efficient numerical method for the multidimensional freezing problems with arbitrary geometries including a multiply connected domain was reported in this report. First, the multilateral element method (MEM), in which the representative point of the element can be placed at the arbitrary point was proposed. Then, a numerical method based on MEM was presented. In this method, the new freezing front positions are calculated by using temperature distribution in the vicinity of the freezing front. Then, adjacent element is enlarged by the same amount as the newly frozen area thus obtained. This procedure is continued until the size of the frozen area reaches the prescribed size.
The present method has such features as (i) applicable to multidimensional problem with arbitrary geometries, (ii) the formulation is simple, (iii) applicable to the combined problem including convection effects, (iv) time reduction is easily possible due to SOR formulation.
