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A reference solution for phase change with convection. (English) Zbl 1112.76402

Summary: A reference solutions for phase change involving convection in the melt is currently missing. In the present study, we focus on the problem of melting of pure tin in a square cavity heated from the side, which is used as a benchmark test problem. The mathematical model used for the simulations is based on the enthalpy formulation. Extensive numerical computations are performed with grids as fine as \(800\times 800\). The convergence of the numerical solution is demonstrated and its level assessed. Data values and plots are provided for use as a reference solution.

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76R10 Free convection
80A20 Heat and mass transfer, heat flow (MSC2010)
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