标题： 相变与自然对流的集成建模与验证 显示英文标题

标题： Integrated modeling and validation for phase change with natural convection

摘要： 水-冰系统在融化过程中会发展出复杂的时空界面动力学和非平凡的温度场。 在本次贡献中，我们介绍了最近进行的一项验证研究的计算方面，该研究旨在探讨自然对流在水-冰冷凝界面动力学中的作用。 我们将介绍一种称为焓孔隙法的固定网格模型。 它基于引入一个相场并采用混合理论。 所得到的偏微分方程使用有限体积离散化方法求解。 第二部分专门介绍了为模型验证而进行的实验。 演变的水-冰界面是根据显示水相和冰相的光学图像进行跟踪的。 为了分割相态，我们使用二值Mumford Shah方法，该方法给出成像数据的分段常数近似。 其跳跃集是测量相界面的重建。 我们的模拟和分割工作最终使我们能够连续比较模型和测量的相界面。 我们以对我们的发现的讨论结束。 显示英文摘要

摘要： Water-ice systems undergoing melting develop complex spatio-temporal interface dynamics and a non-trivial temperature field. In this contribution, we present computational aspects of a recently conducted validation study that aims at investigating the role of natural convection for cryo-interface dynamics of water-ice. We will present a fixed grid model known as the enthalpy porosity method. It is based on introducing a phase field and employs mixture theory. The resulting PDEs are solved using a finite volume discretization. The second part is devoted to experiments that have been conducted for model validation. The evolving water-ice interface is tracked based on optical images that shows both the water and the ice phase. To segment the phases, we use a binary Mumford Shah method, which yields a piece-wise constant approximation of the imaging data. Its jump set is the reconstruction of the measured phase interface. Our combined simulation and segmentation effort finally enables us to compare the modeled and measured phase interfaces continuously. We conclude with a discussion of our findings.