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A projection method for convection-dominated phase transitions

机译：对流主导阶段转换的投影方法

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A simple model for solving convection/diffusion phase-transition problems is described. Pure substances are the focus of this article, but extensions to more complex temperature dependent phase-transitioning behavior are also addressed. The model uses a nondeforming, staggered Cartesian grid. A Boussinesq approximation is the driving force for natural convection, while the Poisson pressure-correction equation is solved with a conjugate gradient method. A simple marking method for liquid and solid cells is updated at every time step such that the pressure correction needs to be solved only in the domain where the substance is liquid. A projection method derived in this article is used to solve the thermal fields (i.e., solid fraction and temperature). A description of the Darcy source term for handling fluid flow in the solid region and a source-based method for solving the thermal fields are also presented; the latter is compared with the method derived in this article. Model validation is done by comparison with experimental results from a two-dimensional cavity convection/diffusion case with gallium. (C) 2018 Elsevier Inc. All rights reserved.
机译：描述了一种用于解决对流/扩散阶段转换问题的简单模型。纯物质是本文的重点，但还解决了更复杂的温度依赖性相移行为的延伸。该模型使用一个非格式，交错的笛卡尔栅格。 Boussinesq近似是自然对流的驱动力，而泊松压力校正方程用缀合物梯度法解决。在每次步骤时更新用于液体和固体细胞的简单标记方法，使得需要在物质是液体的域中进行压力校正。在本文中衍生的投影方法用于解决热场（即固体分数和温度）。还提出了用于处理固体区域中的流体流动的达西源术语的描述和用于求解热场的源的方法;后者与本文中衍生的方法进行比较。通过与镓的二维腔对流/扩散壳体的实验结果进行比较来完成模型验证。 （c）2018 Elsevier Inc.保留所有权利。

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