An improved continuity-preserving interface reconstruction method for multi-material flow
An improved continuity-preserving interface reconstruction method for multi-material flow
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DOI：
10.1016/j.compfluid.2021.104960
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发表时间：
2021-04
影响因子：
2.8
通讯作者：
Shengping Liu;Heng Yong;Shaodong Guo;Yiqing Shen;Guoxi Ni
中科院分区：
文献类型：
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作者：
Shengping Liu;Heng Yong;Shaodong Guo;Yiqing Shen;Guoxi Ni
介绍了大仲马等人提出的动态规划接口重构（DPIR）方法。[1]是一种保体积、连续的界面重建方法。它是一个两步法，包括优化步骤和校正步骤。首先，在优化步骤中，它最小化的目标函数的动态规划方法，以获得一个连续的界面。然后，对每个混合单元中的界面进行修正，以保持体积分数的保守性。然而，目标函数中只考虑了体积分数的差异，而忽略了界面法线。这些使得在优化步骤中容易获得不同的最优结果，因此所得的连续界面总是遭受振荡（即，“波浪效应”[1]。为了抑制优化过程中连续界面的振荡，提高优化精度，本文在矩法目标函数的基础上构造了一个无量纲目标函数，并提出了一种新的修正方法。最后，进行了几次数值试验，证明了新方法比大仲马等人原来的方法的优越性。[1]的文件。
The dynamic programming interface reconstruction (DPIR) method introduced by Dumas et al.[1] is a volume-preserving and continuous interface reconstruction method. It is a two-step method, which comprises of an optimized step and a correction step. At first, in the optimized step, it minimizes a target function by the dynamic programming method to obtain a continuous interface. Then, it corrects the interface in each mixed cell to preserve the conservative of the volume fraction. However, only the difference of volume fraction is considered, and the interface normal is neglected in the target function. These make it easy to obtain different optimal results in the optimized step, and hence the resulting continuous interfaces always suffer from oscillations (i.e., the ‘wave effects’ [1]). In this paper, to suppress the continuous interfaces’ oscillations in the optimized step and improve its accuracy, we constructed a non-dimensional target function based on the moment-of-fluid method’s objective function, and also proposed a new correction method. Finally, several numerical tests are performed to show the new method’s superiority over the original one of Dumas et al. [1].