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On thermokinematic analysis of pipe shaping in cast ingots: A numerical simulation via FDM. (English) Zbl 0900.76361


MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76T99 Multiphase and multicomponent flows
80A22 Stefan problems, phase changes, etc.

Software:

LINPACK

References:

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[3] Dell’Isola, F.; Romano, A., Int. J. Engng Sci., 25, 1459 (1987) · Zbl 0624.73001
[4] Dell’Isola, F.; Romano, A., Int. J. Engng Sci., 25, 1469 (1987) · Zbl 0629.73006
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[6] Noll, W., The Foundation of Mechanics and Thermodynamics, (Selected Papers (1974), Springer-Verlag) · Zbl 0332.73001
[7] Friedman, A., Trans. Amer. Math. Soc., 133 (1968) · Zbl 0162.41903
[8] Crank, J., Free and Moving Boundary Problems (1984), Clarendon Press: Clarendon Press Oxford · Zbl 0547.35001
[9] Mochanacki, B.; Balcer, M., Solidification problem. Numerical model on the basis of generalized FDM, (Lewis, R. W., Proc. of the 8th Int. Conf. on Numerical Methods in Thermal Problems (July 12-16 1993)), 329-339, Swansea, UK
[10] Tran, D. V.; Lewis, R. W.; Gethin, D. T., Multi-adaptive finite element remeshing with specific reference to metal casting, (Lewis, R. W., Proc. of the 8th Conf. on Numerical Methods in Thermal Problems (July 12-16 1993)), 955-970, Swansea, UK
[11] Mitchell, A. R.; Wait, R., The Finite Element Method in Partial Differential Equations (1978), John Wiley and Sons: John Wiley and Sons Chichester · Zbl 0344.35001
[12] Richtmyer, R. D.; Morton, K. W., Difference Methods for Initial-Value Problems (1967), John Wiley and Sons: John Wiley and Sons Chichester · Zbl 0155.47502
[13] Shih, T. M., Numerical Heat Transfer, (Series in Computational Methods in Mechanics and Thermal Sciences (1984), Editions Hemisphere: Editions Hemisphere Washington) · Zbl 0575.76007
[14] Crank, J., (Proc. of the Conf. ‘Moving boundary problems in heat flow and diffusion’ (25-27 March 1974)), 192-207, Oxford · Zbl 0295.76064
[15] Lazaridis, A., Int. J. Heat Mass Transfer, 13, 1459 (1970) · Zbl 0223.65071
[16] Hlousek, J.; Kavicka, F., A coherence between a castings shape and its total solidification time, (Wrobel, L. C.; Brebbia, C. A., Proc. of the 2nd Int. Conf. on Computational Modelling of Free and Moving Boundary Problems (June 1993)), 347-356, Milan · Zbl 0868.76004
[17] Boley, B. A.; Weiner, J. H., Theory of Thermal Stresses (1960), John Wiley and Sons: John Wiley and Sons New York · Zbl 0095.18407
[18] (Fasano, A.; Primicerio, M., Free Moving Boundary Problems: Theory and Applications, Vol. I (1983), Pitman) · Zbl 0511.35088
[19] (Wrobel, L. C.; Brebbia, C. A., Computational Modelling of Free and Moving Boundaries II (1993), Computational Mechanics Publications: Computational Mechanics Publications Southampton, MA) · Zbl 0868.76004
[20] Tichonov, A. N.; Samarskij, A. A., Equazioni della Fisica-matematica (1981), Edizioni Mir: Edizioni Mir Mosca · Zbl 0489.35001
[21] Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W., (LINPACK User’s Guide (1979), SIAM: SIAM PA)
[22] Cline, A. K.; Moler, C. B.; Stewart, G. W.; Wilkinson, J. H., SIAM Journal of Numerical Analysis, 16, 368 (1979) · Zbl 0403.65012
[23] Brandes, E. A., Smithells Metals Reference Book (1983), Butterworth and Co. Publishers Ltd: Butterworth and Co. Publishers Ltd London
[24] Weast, R. C., (CRC Handbook of Chemistry and Physics (1985), CRC Press Inc: CRC Press Inc Boca Raton, FL)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.