The present paper describes the simulation of phase change problems invoking simultaneous multiple interface fronts employing the finite element method. Much of the past investigations employing finite elements have been restricted to primarily a single phase change situation. The existence of more than one phase, that is, the presence of multiple phase fronts poses certain challenges and further complications. However, the results provide a very interesting thermal behavior for this class of problems. In this paper, attention is focused on fixed grid methods and the trapezoidal family of one-step methods using the enthalpy formulations. Illustrative examples which handle simultaneous multiple fronts in phase change problems are presented.
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Acknowledgement~The authors would like to acknowledge Dr D. M. Curry, NASA-Johnson Space Center, Houston, Texas for his encouragement and guidance. Excerpts of this research was supported, in part, by NASA-Langley Research Center in Hampton, Virginia under grant NAG-I-808 and the Flight Dynamics Laboratory, Wright Patterson Air Force, Ohio. The authors are also very pleased to acknowledge support, in part, by the Army High Performance Computing Research Center (AHPCRC) at the University of Minnesota, and the Minnesota Supercomputer Institute, Minneapolis, Minnesota. More recent support, in part, by Mr William Mermagen Sr, and Dr Andrew Mark of the ASMPCD at the Army Research Laboratory, APG, MD, is also greatly acknowledged.