The numerical algorithm of solidification modelling using the micro-macro approach

• Autorzy: Ciesielski M.
• Języki publikacji: EN

Abstrakty

EN

In this paper the numerical algorithm simulating the solidification process on the micro/macro level is presented. In order to solve the problem the control volume method is applied. The casting domain is covered by the mesh of regular macro-cells and next in every macro-cell the mesh of control volumes is generated. The control volumes correspond to the final shape of grains and they are approximated by the Thiessen polygons (2D task), while their central points correspond to the initial positions of nuclei (generated in a random way). The changes of temporary volumetric fraction of solid at the considered point from casting domain result from the laws determining the nucleation and nuclei growth. In the final part of the paper the example of computation is shown.

Słowa kluczowe

EN

numerical algorithm; solidification; micro-macro approach

PL

algorytm numeryczny; krzepnięcie

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2007
• Tom: Vol. 6, nr 1
• Strony: 41--46
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Ciesielski M.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Fraś E., Kapturkiewicz W., Lopez H.F., Macro and micro modelling of the solidification kinetics of casting, AFS Transactions 1993, 92-48, 583-591.
• [2] Szopa R., Siedlecki J., Modelling of solidification using the control volume method, Solidification of Metals and Alloys 2000, 2(44), 349-354.
• [3] O'Rourke J., Computational Geometry in C, Cambridge University Press 1998.
• [4] Orkisz J., Metoda różnic skończonych, (in:) M. Kleiber (eds), Metody komputerowe w mechanice ciała stałego, WN PWN, Warszawa 1995.
• [5] Mochnacki B., Ciesielski M., Micro/macro model of solidification. Numerical simulation using the control volume method, 17th International Conference on Computer Methods in Mechanics CMM-2007, CD-ROM Proceedings, Łódź-Spała 2007.
• [6] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, PFTA, Cracow 1995.