Abstract
In the domain of the linear thermal problem reduction, this paper develops a reduction method specific to the modal formulation using branch modes. This method is applied to a solidification problem in which all the physical parameters (thermal capacity and conductivity, boundary conditions) are highly non-linear. 2D and 3D configurations are studied. Comparison with other reduction methods enables to show the interest of these methods. The reduced model leads to a CPU time which is from 10 to 40 times smaller than the complete model, for an acceptable precision in the whole simulated domain.
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