Computer Sciences Dept.

A Particle Model of the Stefan Problem

Donald Greenspan

The melting of triangular and rectangular solids is analyzed by means of new particle-type models. Heating is defined in terms of the increase of a particle's velocity, while temperature is defined in terms of a particle's kinetic energy. Computer examples are given of slow heating, fast heating, heating from above and heating from below. In each case the liquid and the solid portions are clearly delineated.

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