Finite-element developments for multiple-phase-change problems in two-dimensional models are presented for the first time. The enthalpy method is used to simulate talent heat release in conjunction with fixed-grid techniques. An unconditionally stable implicit method is used for the time integration. The effects of boundary conditions and the different phase regions on the multiple-phase-front developments are examined for numerous examples. Discussions and conclusions are appropriately addressed.
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Received 16 March 1994; accepted 21 June 1994. The authors acknowledge Dr. D. M. Curry, NASA-Johnson Space Center. Houston, Texas, for his encouragement and guidance. This research was supported by NASA-JSC/LESC. Excerpts of this research were supported in part by NASA-Langley Research Center, Hampton, Virginia, under Grant NAG-1-808, and the Flight Dynamics Laboratory, Wright Patterson Air Force Base, Ohio. The authors 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. Address correspondence to Kumar K. Tamma, Department of Mechanical Engineering, Institute of Technology, University of Minnesota, 111 Church Street, S.E., Minneapolis, MN 55455-0111, USA.