Saucedo-Zendejo, F.R.F.R.Saucedo-ZendejoReséndiz-Flores, E.O.E.O.Reséndiz-FloresKuhnert, J.J.Kuhnert2022-03-062022-03-062019https://publica.fraunhofer.de/handle/publica/25903710.1007/s40571-019-00222-72-s2.0-85059854085The aim of this work is to achieve a meshfree implementation for the numerical prediction of 3D flows during mould filling processes in metal casting using a generalized finite difference method. The free surface incompressible flow problem is numerically solved using a semi-implicit Chorin-Uzawa's projection scheme where the normal vectors needed for the free surface computations are computed with a simple and efficient idea. Further, the boundary conditions incorporation involved in this industrial problem is done in a simple and direct manner. The main characteristics in this meshfree formulation together with details of its computational implementation are given. The numerical results of a benchmark example using this formulation are reported and compared with published numerical and experimental results, and finally, the numerical solution of some three-dimensional test problems is reported which show that this formulation is promising for predicting three-dimensional complex free surface flows in mould filling processes in casting.en003531006519journal article