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首页> 外文期刊>Journal of Heat Transfer >Moving Boundary-Moving Mesh Analysis of Freezing Process in Water-Saturated Porous Media Using a Combined Transfinite Interpolation and PDE Mapping Methods
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Moving Boundary-Moving Mesh Analysis of Freezing Process in Water-Saturated Porous Media Using a Combined Transfinite Interpolation and PDE Mapping Methods

机译：有限插值和PDE映射相结合的水饱和多孔介质冻结过程移动边界分析

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摘要

This paper couples the grid generation algorithm with the heat transport equations and applies them to simulate the thermal behavior of freezing process in water-saturated porous media. Focus is placed on establishing a computationally efficient approach for solving moving boundary heat transfer problem, in two-dimensional structured grids, with specific application to an undirectional solidification problem. Preliminary grids are first generated by an algebraic method, based on a transfinite interpolation method, with subsequent refinement using a partial differential equation (PDE) mapping (parabolic grid generation) method. A preliminary case study indicates successful implementation of the numerical procedure. A two-dimensional solidification model is then validated against available analytical solution and experimental results and subsequently used as a tool for efficient computational prototyping. The results of the problem are in good agreement with available analytical solution and experimental results.
机译：本文将网格生成算法与热传递方程相结合，并将其应用于模拟水饱和多孔介质中冻结过程的热行为。重点放在建立一种有效的计算方法上，以解决二维结构化网格中的移动边界传热问题，并将其具体应用于无方向性凝固问题。首先基于超限插值方法通过代数方法生成初步网格，然后使用偏微分方程（PDE）映射（抛物线网格生成）方法进行细化。初步的案例研究表明成功执行了数值程序。然后针对可用的分析解决方案和实验结果验证了二维凝固模型，随后将其用作高效计算原型的工具。问题的结果与可用的分析解决方案和实验结果非常吻合。

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