SPH-FDM boundary for the analysis of thermal process in homogeneous media with a discontinuous interface
SPH-FDM boundary for the analysis of thermal process in homogeneous media with a discontinuous interface
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用于分析具有不连续界面的均匀介质中的热过程的 SPH-FDM 边界
DOI：
10.1016/j.ijheatmasstransfer.2017.10.004
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发表时间：
2018
影响因子：
5.2
通讯作者：
Peipei Chen
中科院分区：
文献类型：
--
作者：
Bing Bai;Dengyu Rao;Tao Xu;Peipei Chen
本文提出了一种SPH-FDM边界方法，用于分析具有不连续界面的均匀介质中的热过程。该方法在计算区域内采用光滑粒子流体动力学（SPH）方法，在边界附近采用有限差分法（FDM）作为函数逼近。这种混合方法不仅可以提高第一类边界条件下的计算精度（即，Dirichlet），而且还可以转换第二和第三类边界条件（即，Neumann和Robin）引入第一类边界条件求解均匀介质热传导问题。结果，在整个解域中可以实现二阶精度。SPH-FDM边界方法适用于各种介质中的热传导分析，包括计算域中具有不连续界面的问题和具有移动相变边界的材料凝固问题。数值结果表明，SPH-FDM边界方法克服了传统SPH方法在处理第二类和第三类边界条件时的困难，具有很高的计算精度。
A SPH-FDM boundary method is proposed for the analysis of thermal process in homogeneous media with a discontinuous interface in this study, in which the smoothed particle hydrodynamics (SPH) method is used in the inner computational domain; and the finite difference method (FDM) is used as the function approximation near the boundary. This mixed method not only can improve the calculation accuracy under the first-type boundary conditions (i.e., Dirichlet), but also can convert the second-and third-type boundary conditions (i.e., Neumann and Robin ) into the first-type boundary conditions in solving heat conduction problems of homogeneous media. As a result, a second-order accuracy can be achieved in the entire solution domain. The proposed SPH-FDM boundary method is applicable to the analysis of heat conduction in various media, including the problems with discontinuous interface in the computational domain and the solidification of materials with a moving phase transition boundary. Numerical results show that the proposed SPH-FDM boundary method overcomes the difficulties of the conventional SPH method in dealing with the second-and third-type boundary conditions and has a very high calculation accuracy.