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

✍ Scribed by Víctor D. Fachinotti; Alberto Cardona; Alfredo E. Huespe

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 300 KB
• Volume: 44
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19990430)44:12<1863::aid-nme571>3.0.co;2-9

✦ Synopsis

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