A numerical model of the solid/liquid phase change problem in porous media and free fluids is presented in this paper for the first time by employing a modified version of the generalized porous medium model, in 2D and 3D, solved by means of the Characteristic-Based-Split (CBS) scheme. The proposed procedure is based on the solution of one set of equations to describe different phenomena: natural convection in porous media, solidification and melting both in porous media and in free fluids. The generalized model has been modified to incorporate the apparent heat capacity, source term and pseudo-viscosity methods in order to reproduce phase change phenomena.

中文翻译：

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多孔介质和自由流体中凝固和熔化的通用数值程序


本文首次采用广义多孔介质模型的修改版本（2D 和 3D）提出了多孔介质和自由流体中固/液相变问题的数值模型，并通过特征-基于分割（CBS）方案。所提出的程序基于一组方程的解来描述不同的现象：多孔介质中的自然对流、多孔介质和自由流体中的凝固和熔化。广义模型经过修改，纳入了表观热容、源项和伪粘度方法，以便重现相变现象。