Numerical modelling of solidification process using interval finite difference method

• Autorzy: Piasecka Belkhayat, A.
• Języki publikacji: EN

Abstrakty

EN

The numerical modelling of steel cast solidification process in sand mould is considered. The problem analyzed is described by the system of partial differential equations supplemented by adequate boundary and initial conditions. The latent heat appearing in the model of a casting sub-domain is treated as directed interval value. The problem formulated has been solved by means of interval finite difference method with the approach of directed interval arithmetic. In the final part of the paper, results of numerical computations are shown.

Słowa kluczowe

PL

metody interwałowe; metoda różnic skończonych; modelowanie numeryczne; proces krzepnięcia odlewów

EN

interval methods; finite difference method; numerical modelling; solidification casting process

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 1
• Strony: 155-163
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Piasecka Belkhayat, A.

• Department of Strength of Materials and Computational Mechanics, Silesian University of Technology, Poland,

Bibliografia

• [1] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, PFTA, Cracow 1995.
• [2] Mochnacki B.. Majchrzak E., Suchy J.S., Thermal theory of foundry processes - a base of numerical simulation of casting solidiflcation. [in:] Casting Simulation. Background and Examples, Zurich. World Foundrymen Organization. International Commission 3.3, 2000, 31-66.
• [3] Markov S.M., On directed interval arithmetic and its applications, Journal of Universal Computer Science 1995, 1.514-526.
• [4] Popova E.D., Multiplication Distributivity of Proper and Improper lntervals, Reliable Computing 2001,7, 129-140.
• [5] Piasecka Belkhayat A., Mendakiewicz J., Application of interval arithmetic for numerical modeling of solidification process, EUROGEN 2009, Extended Abstracts, Cracow/Gliwice 2009, 87-88.
• [6] Piasecka Belkhayat A.. Numerical modelling of solidiflcation process using interval boundary element method, Archives of Foundry Engineering 2008, 8, 4, 171 -176.
• [7] Moore R.E., Bierbaum F., Methods and applications of interval analysis, S1AM, 1979.
• [8] Neumaier A., Interval methods for system of equations, Cambridge University Press, Cambridge, New York, Port Chester. Melbourne, Sydney 1990.