A Fast Convergent and Accurate Temperature Model for Phase-Change Heat Conduction

VÍCTOR FACHINOTTI; ALBERTO CARDONA; ALFREDO HUESPE

International Journal for Numerical Methods in Engineering

J WILEY & SONS

Lugar: Chichester; Año: 1999 vol. 44 p. 1863 - 1884

This work proposes a temperature-based nite element model for transient heat conduction involving phasechange. Like preceding temperature-based models, it is characterized by the discontinuous spatial integration over the elements aected 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. Eciency of the model is tested by means of the results obtained for the Neumann problem and the solidication of a steel ingot.