A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation
A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation
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DOI：
10.1016/j.jcp.2019.05.003
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发表时间：
2019-09-01
影响因子：
4.1
通讯作者：
Theillard, Maxime
中科院分区：
文献类型：
--
作者：
Bellotti, Thomas;Theillard, Maxime
提出了一种将参考地图理论和水平集方法相结合的运动界面跟踪方法。我们不是直接平流水平集函数，而是跟踪参考映射，它将变形状态映射到原始状态。然后，我们从这个映射和原始几何重构变形的水平集函数。由于参考地图具有更好的光滑性，减少了重新初始化的影响，因此新方法具有更高的精度。这大大提高了界面定位精度和质量守恒，特别是在小变形的情况下。此外，该方法的实现很简单，因为它基于用于水平集方法的相同的数值技术。我们的耦合方法在外部产生速度场的情况下得到了广泛的验证，并被结合到我们之前介绍的两相不可压缩Navier-Stokes流动求解器中。由爱思唯尔公司出版。
We present a novel hybrid methodology combining the reference map theory with the level-set method for tracking moving interfaces. Instead of directly advecting the level-set function, we track the reference map, which maps the deformed state into the original one. We then reconstruct the deformed level-set function from this mapping and the original geometry. Because of the better smoothness of the reference map and the reduced impact of the reinitialization, this new approach grants higher precision. This results in significant improvements regarding interface location precision and mass conservation, especially in situations involving small deformations. Moreover, the implementation of the method is straightforward since it is based on the same numerical techniques used for the level-set method. Our coupled method is extensively validated in the case of externally generated velocity fields and incorporated into our previously introduced two-phase incompressible Navier-Stokes flow solver. Published by Elsevier Inc.