Abstract A mathematical model which can describe flow and phase change of a number of phases at high temperatures is presented. It combines an interface capturing multiphase model, the P–1 radiation model, and a melting/solidification model. The resulting equations are solved by employing the finite volume discretization, a segregated solution procedure and the SIMPLE algorithm. The melting/solidification model is a finite rate model which in the limiting case behaves like a thermodynamic equilibrium model and it can also be used in situations where the phase change occurs within a range of temperatures as well as for problems where the phase change occurs at a constant temperature. The method is verified on a number of problems. The results obtained show a good agreement with exact solutions or results which can be found in literature.

中文翻译：

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具有辐射和相变的多相流的有限体积法

摘要 提出了一种可以描述高温下多相流动和相变的数学模型。它结合了界面捕获多相模型、P-1 辐射模型和熔化/凝固模型。通过采用有限体积离散化、分离求解程序和 SIMPLE 算法求解所得方程。熔化/凝固模型是一个有限速率模型，在极限情况下表现得像热力学平衡模型，它也可以用于在一定温度范围内发生相变的情况以及相变发生在一个恒定的温度。该方法在许多问题上得到验证。所得结果与文献中的精确解或结果非常吻合。