Application of the enthalpy approach in numerical modelling of solidification process

• Autorzy: Mochnacki, B. , Lara, S. , Pawlak, E.
• Języki publikacji: EN

Abstrakty

EN

The numerical modelling of the Stefan problem using directly the typical description of the process is rather difficult. In this connection one can find in literature the models basing on the enthalpy convention and the artificial mushy zone introduction. This paper summarizes the state of the art of the enthalpy models of phase change problems. The part of the approaches discussed has been modified by the authors of the paper, we also present the new interpretations of some models.

Słowa kluczowe

PL

proces krzepnięcia; modelowanie numeryczne; zagadnienie Stefana

EN

solidification process; numerical modelling; Stefan problem

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2002
• Tom: Vol. 1, nr 1
• Strony: 163--176
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Mochnacki, B.

• Institute of Mathematics and Computer Science, Technical University of Częstochowa

autor

Lara, S.

• Institute of Mathematics and Computer Science, Technical University of Częstochowa

autor

Pawlak, E.

• Institute of Mathematics and Computer Science, Technical University of Częstochowa

Bibliografia

• [1] Hong C.P., Umeda T., Kimura Y., Numerical models for casting solidification problems, Metal. Trans. 1984, 15B, 101-105.
• [2] Mochnacki B., Szopa R., Application of the BEM in numerical modelling of solidification, Part 1, J. of Theor. and Appl. Mech. 1998, 2, 36, 457-468.
• [3] Majchrzak E., Mochnacki B., The BEM application for numerical solution of non-steady and nonlinear thermal diffusion problems, CAMES 1996, 2, 4, 327-346.
• [4] Szopa R., Modelowanie krzepnięcia i krystalizacji z wykorzystaniem kombinowanej metody elementów brzegowych, ZN Pol. Śl. 1999, Hutnictwo 54.
• [5] Rogers J., Berger A., Ciment M., Numerical solution of a diffusion consumption problem with free boundary, SIAM J. Num. Anal. 1975, 12, 645-659.
• [6] Rogers J., Berger A., Ciment M., The alternating phase truncation method for a Stefan problem, SIAM J. Num. Anal. 1979, 16, 562-587.
• [7] Mochnacki B., Suchy J., Numerical modelling of casting solidification, The concept of problem linearization, ASF Transactions 1997, 96-11, 203-209.
• [8] Mochnacki B., Majchrzak E., Suchy J.S., Thermal theory of foundry processes - a base of numerical simulation of casting solidification - chapter 2, 31-66 (in:) Casting Simulation. Background and Examples, World Foundrymen Organization, International Commission 3.3: „Computer Simulation of Casting Processes”.
• [9] Hsiao J.S., An efficient algorithm for finite-difference analyses of heat transfer with melting and solidification, Numerical Heat Transfer 1985, 8, 653-666.
• [10] Mochnacki B., Lara S., Pawlak E., Numerical solution of 2D Stefan problem, Solidification of Metals and Alloys 2000, 2, 44, 235-238.
• [11] Cao Y., Fagri A., Chang W.E., Numerical analysis of Stefan problem, Int. J. of Heat and Mass Transfer 1989, 32, 7, 1289-1298.