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Two phase Stefan Problems

The problem considered is a two-phase Stefan problem. The domain is a square of length 2 m where the boundary conditions are following:

The material coefficients are :

This problem was solved using the adaptation of the generalized Trapezoidal rule with and a time step .The initial solution is composed by two planes, an horizontal one at and the other one from to (see Fig. 32)

The interface is evolving from to , case of the steady-state. The figure 33 gives the evolution of the interface with in comparison to the values given by [Lynch and O'Neill, 1981]. The figure 34 gives the evolution of the profile of the temperature during time. See the movie.

Figure 32: The initial distribution.

Figure 33: The evolution of the interface.

Figure 34: The evolution of the profile for A)t = 180, B) t = 626 and C) steady-state.


next up previous contents
Next: Square of liquid Alluminium Up: Numerical examples in two Previous: The way to integrate   Contents
Renaud Merle 2000-08-26