A fast convergent and accurate temperature model for phase-change heat conduction

FACHINOTTI, V. D.; CARDONA, A.; HUESPE, A. E.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

John Wiley & Sons, Ltd.

Año: 1999 vol. 44 p. 1863 - 1884

0029-5981

This work proposes a temperature-based finite element model for transient heat conduction involving phase-change.Like preceding temperature-based models, it is characterized by the discontinuous spatial integration over the elements affected by the phase-change. Using linear triangles or tetrahedrals, integration can be performed in a closed analytical way, assuring an exact evaluation of the discrete balance equation. Because of its unconditional stability, an Euler-backward time-stepping scheme is implemented. A crucial fact is the computation of the exact tangent matrices for the Newton-Raphson solution of the non-linear system of discretized equations. Efficiency of the model is tested by means of the results obtained for the Neumannproblem and the solidification of a steel ingot.