Abstract
In the paper an application of Ant Colony Optimization algorithm for solving the two-dimensional inverse solidification problem of binary alloy is presented. Aim of the considered problem lies in reconstruction of the boundary condition on the basis of temperature values measured in selected points of the cast. Presented approach is grounded on two procedures: the finite difference method with application of the generalized alternating phase truncation method and the parallelized Ant Colony Optimization algorithm serving for minimization of a functional representing the important part of the procedure.
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References
Gottlieb, A., Almasi, G.S.: Highly Parallel Computing. Benjamin-Cummings Publishing Co., Menlo Park (1989)
Eberhart, R.C., Shi, Y., Kennedy, J.: Swarm Intelligence. Morgan Kaufmann, San Francisco (2001)
Toksari, M.D.: Ant colony optimization for finding the global minimum. Appl. Math. Comput. 176, 308–316 (2006)
Dorigo, M., Blumb, C.: Ant colony optimization theory: a survey. Theor. Comput. Sci. 344, 243–278 (2005)
Duan, H.: Ant colony optimization: principle, convergence and application. Adapt. Learn. Optim. 8, 373–388 (2011)
Hetmaniok, E., Słota, D., Zielonka, A.: Using the swarm intelligence algorithms in solution of the two-dimensional inverse Stefan problem. Comput. Math. Appl. 69(4), 347–361 (2015)
Hetmaniok, E., Słota, D., Zielonka, A.: Experimental verification of selected artificial intelligence algorithms used for solving the inverse Stefan problem. Numer. Heat Transf. B. 66(4), 343–359 (2014)
Ionescu, D., Ciobanu, I., Munteanu, S.I., Crisan, A., Monescu, V.: 2D mathematical model for the solidification of alloys within a temperature interval. Metal. Int. 16(4), 39–44 (2011)
Piasecka Belkhayat, A.: Numerical modelling of solidification process using interval boundary element method. Arch. Foundry Eng. 8(4), 171–176 (2008)
Mochnacki, B., Suchy, J.S.: Numerical Methods in Computations of Foundry Processes. PFTA, Cracow (1995)
Rogers, J.C.W., Berger, A.E., Ciment, M.: The alternating phase truncation method for numerical solution of a Stefan problem. SIAM J. Numer. Anal. 16, 563–587 (1979)
Słota, D.: Restoring boundary conditions in the solidification of pure metals. Comput. Struct. 89, 48–54 (2011)
Acknowledgements
This project has been financed from the funds of the National Science Centre granted on the basis of decision DEC-2011/03/B/ST8/06004.
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Hetmaniok, E., SÅ‚ota, D., Zielonka, A. (2016). Parallel Procedure Based on the Swarm Intelligence for Solving the Two-Dimensional Inverse Problem of Binary Alloy Solidification. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K., Kitowski, J., Wiatr, K. (eds) Parallel Processing and Applied Mathematics. Lecture Notes in Computer Science(), vol 9574. Springer, Cham. https://doi.org/10.1007/978-3-319-32152-3_27
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DOI: https://doi.org/10.1007/978-3-319-32152-3_27
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