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Application of a generalized finite difference method to mould filling process

Published online by Cambridge University Press:  24 August 2017

Division of Postgraduate Studies and Research, Department of Metal-Mechanical Engineering, The Technological Institute of Saltillo, Blvd. V. Carranza 2400 Col. Tecnológico C.P. 25280, Saltillo Coahuila, MX email:
Fraunhofer-Institut für Techno-und Wirtschaftsmathematik, Fraunhofer-Platz-1, 67663 Kaiserslautern, Germany email:
Division of Postgraduate Studies and Research, The Technological Institute of Saltillo, Blvd. V. Carranza 2400 Col. Tecnológico C.P. 25280, Saltillo Coahuila, MX email:


This paper proposes the use of a generalized finite difference method for the numerical simulation of free surface single phase flows during mould filling process which are common in some industrial processes particularly in the area of metal casting. A novel and efficient idea for the computation of the normal vectors for free surface flows is introduced and presented for the first time. The incompressible Navier–Stokes equations are numerically solved by the well-known Chorin's projection method. After we showed the main ideas behind the meshless approach, some numerical results in two and three dimensions are presented corresponding to mould filling process simulation.

Copyright © Cambridge University Press 2017 

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