论文标题
一种基于后质量校正的保守级别定型方法，可保留不可压缩多相模拟的距离属性
A conservative level-set method based on a posterior mass correction preserving distance property for incompressible multiphase flows simulations
论文作者
论文摘要
作为最流行的接口捕获方法之一，该级别的方法本质上是非保守的，并且其进化通常会导致非物理质量增益/损失。在本文中，开发了一种新颖的保守水平集方法，用于不可压缩的多相流仿真。通过将小的扰动引入级别集合场来进行后质量校正，该级别通过牛顿方法求解。与以前的研究不同，在当前质量校正后，级别函数的签名距离属性得到了准确保留。此外，该方法可以很容易地从2D到3D推广。计算效率的影响很小，因为无需在每个时间步骤应用校正。涉及纯界面进化问题和多相流问题的各种基准测试案例被认为是为了验证当前方法。对于所有情况，定量比较了原始方法和本方法的准确性和效率。据观察，通过可忽略的额外成本，通过本方法将保护误差降低到机器准确性的顺序，这表明其在复杂多相流中的潜在应用。
As one of the most popular interface-capturing methods, the level-set method is inherently non-conservative, and its evolution usually leads to unphysical mass gain/loss. In this paper, a novel conservative level set method is developed for incompressible multiphase flows simulations. A posterior mass correction is performed by introducing a small perturbation to the level-set field, which is solved via the Newton method. Unlike in previous researches, the signed distance property of the level-set function is exactly preserved after the present mass correction. Moreover, this method can be easily generalized from 2D to 3D. The influence for the computational efficiency is slight as the correction does not need to be applied at every time step. Various benchmark cases involving pure interface-evolution problems and multiphase flows problems are considered to validate the present method. For all cases, the accuracy and efficiency of the original method and the present method are quantitatively compared. It is observed that, with negligibly extra cost, the conservation error is reduced to the order of machine accuracy by the present method, which indicates its potential applications in complex multiphase flows simulations.
