Computation of interface curvature in modelling of solidification by the method of cellular automaton

• Autorzy: Burbelko A. A. , Kapturkiewicz W. , Gurgul D.
• Języki publikacji: EN

Abstrakty

EN

Modelling of solidification process by the method of cellular automaton (CA) requires determination of geometrical characteristics of the interface, i.e. of its direction and curvature. In previous studies the authors proposed a method to reduce the well-known effect of an artificial symmetry of the simulation results caused by the anisotropy of the CA computation grid (e.g. a preferred growth of the main dendrite arms along the grid lines or at an angle of 45° in the case of grids with square cells). The aim was achieved by application of the developed methods of computation of the transformation rate and front direction. In this study the authors examined the problem of an accuracy of the computations of an interface curvature. The obtained results show us that the error of the curvature computation introduced by some well-known methods exceeds by 100% a nominal value of this parameter. A method to estimate the accuracy of the applied solution has been proposed. Practical application of the proposed tests enables selection of a best solution, including the authors' own solutions, thus considerably improving an accuracy of the solidification modelling by the method of CA.

Słowa kluczowe

EN

solidification modeling; cellular automation; artificial anisotropy

PL

krzepnięcie; automat komórkowy; anizotropia

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2007
• Tom: Vol. 7, iss. 1
• Strony: 41--46
• Opis fizyczny: Bibliogr. 15 poz., wykr.

Twórcy

autor

Burbelko A. A.

autor

Kapturkiewicz W.

autor

Gurgul D.

• AGH - University of Science and Technology, Faculty of Foundry Engineering, 23 Reymonta Str., 30-059 Krakow, Poland,

Bibliografia

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