Smooth modeling of solidification based on the latent heat evolution approach
Smooth modeling of solidification based on the latent heat evolution approach
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DOI：
10.1007/s00170-016-9012-7
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发表时间：
2017-02
期刊：
影响因子：
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通讯作者：
R. Tavakoli
中科院分区：
文献类型：
--
作者：
R. Tavakoli
考虑了基于潜热演化法的凝固模拟中热传导方程的正则性问题。结果表明，相应的偏微分方程实际上是半光滑的，在相关文献中没有考虑到明确的问题。一个通用的平滑（正则化）的策略来解决这个问题。更具体地说，在这项工作中提出的有效热容法的平滑版本。将该方法应用于连铸过程准稳态传热问题的建模。数值实验证明了所提出的正则化策略的成功。
The regularity problem of heat conduction equation corresponding to modeling of solidification based on the latent heat evolution approach is considered in the present study. It is shown that the corresponding PDE is actually semi-smooth, an issue that has not been taken into account explicitly in the related literature. A general smoothing (regularization) strategy is introduced to solve this problem. More specifically, the smoothed version of the effective heat capacity method is presented in this work. The presented approach is applied to model the quasi steady-state heat transfer problem in the continuous casting process. Numerical experiments demonstrate the success of the presented regularization strategy.