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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 111
PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING
Edited by: P. Iványi, B.H.V. Topping and G. Várady
Paper 22

Parallel Simulation of Steel Solidification

G. Khenniche1,3, T. Garcia2 and P. Spiteri1

1Toulouse Institute of Computer Science Research, INP-ENSEEIHT, France
2LI-PaRAD, University Paris-Saclay, Versailles, France
3Skikda university, Faculty of Sciences, Department of Mathematics, Laboratory LAMAHIS, Algeria

Full Bibliographic Reference for this paper
G. Khenniche, T. Garcia, P. Spiteri, "Parallel Simulation of Steel Solidification", in P. Iványi, B.H.V. Topping, G. Várady, (Editors), "Proceedings of the Fifth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 22, 2017. doi:10.4203/ccp.111.22
Keywords: continuous casting, sparse non-linear system, synchronous parallel algorithm, asynchronous parallel algorithm.

Summary
This paper shows the results of parallel experiments for the numerical simulation of the solidification of steel in continuous casting. The mathematical model is constituted by coupled non-linear boundary value problems. For the numerical solution of such partial differential equations we consider a semi-discretization with respect to the time of the studied evolution problem, while the spatial discretization is carried out by finite difference schemes. The large scale discretized algebraic systems are solved by sequential and parallel synchronous or asynchronous iterative relaxation algorithms. The comparison of these various previous methods are achieved when the thermal conductivity is constant.

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