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Application of diffuse approximate method in convective-diffusive solidification problems. (English) Zbl 1160.76383
Summary: The steady-state convective-diffusive solid-liquid phase change problem associated with temperature fields in direct-chill, semi-continuously cast billets and slabs from aluminum alloys has been solved by the diffuse approximate method (DAM). The solution is based on formulation, which incorporates the mixture continuum physical model, nine-noded support, second order polynomial trial functions, and Gaussian window weighting functions. Realistic boundary conditions and temperature variation of material properties are included. Two-dimensional test case solution is shown, verified by comparison with the finite volume method (FVM) results for coarse and fine grid arrangement.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76T99 Multiphase and multicomponent flows
76R99 Diffusion and convection
80A22 Stefan problems, phase changes, etc.