Numerical modeling of the solidification process in a mold-casting system with a gaseous gap

The paper focuses on the numerical modeling of the solidification process, with particular emphasis on the key physical phenomenon of heat transfer within the mold-casting system. This process is influenced by the presence of a gaseous gap, which introduces thermal resistance at the interface and affects the solidification rate. The numerical model is developed using the Finite Element Method (FEM), with separate spatial discretizations for both the casting and the mold. Additionally, the thermal expansion of these regions, caused by temperature-dependent volume changes, is accounted for. The model utilizes two distinct meshes to compute the evolving temperature fields. Heat exchange between the cast- ing and the mold is governed by boundary conditions linking the two regions. The solution is computed incrementally, with each region being solved independently at each time step. This paper describes the main assumptions of the mathematical and numerical models and presents the comparison of results of three simulation variants carried out using a custom- -built program.

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Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).