The numerical solution of two generalizations of the neumann moving interface problem into two dimensions

H. J. Schulze, John A. Howarth, G. Poots · International Journal for Numerical Methods in Engineering · 1984

Abstract We present numerical solutions for the following Stefan problems. The half‐space z > 0 is initially filled with liquid at its fusion temperature. The boundary z = 0, taken to be the x axis, is maintained at a constant temperature, less than the fusion temperature, for x 0, the first problem considers the case of an insulated boundary, and the second problem considers the case of the boundary maintained at the fusion temperature. This gives rise to a solid‐liquid interface curved in the (x, z) plane.

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