ABSTRACT The thermal processes proceeding in the casting-mould system are analysed. Solidification process can be described in the different ways. One of them consists in the application of the Fourier–Kirchhoff equation in which the source function controlling the phase change is introduced. In this paper, two approaches to the modelling of pure metals solidification, i.e. the solidification proceeding at the constant temperature and in the artificially introduced interval of temperature are considered. Numerical model used at the stage of computations is constructed using the Control Volume Method in which the principle of conservation of energy (taking also into account the release of latent heat of solidification) is applied to each control volume ensuring the correctness of the model. The use of Voronoi/Thiessen tessellation to the discretization of the casting-mould system can accurately reproduce the shape of each sub-domain. In the final part of the paper, the examples of computations are shown.

中文翻译：

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使用控制体积法对纯金属凝固进行数值模拟的方法比较

摘要分析了在铸模系统中进行的热过程。凝固过程可以用不同的方式描述。其中之一在于傅里叶-基尔霍夫方程的应用，其中引入了控制相变的源函数。本文考虑了两种纯金属凝固建模方法，即在恒定温度下进行凝固和在人为引入的温度区间内进行凝固。在计算阶段使用的数值模型是使用控制体积法构建的，其中将能量守恒原理（也考虑凝固潜热的释放）应用于每个控制体积，确保模型的正确性。使用 Voronoi/Thiessen 镶嵌对铸模系统进行离散化可以准确地再现每个子域的形状。在论文的最后部分，给出了计算示例。