论文标题
在3D矩形六面的烟叶中对流动阶段方法的一些改进
Some improvements on Moment-of-Fluid method in 3D rectangular hexahedrons
论文作者
论文摘要
流动力矩方法（MOF）是通过分段线性界面构建（VOF-PLIC）的流体量方法的扩展。在MOF重建中，优化的正常载体是根据参考质心和迭代的体积分数确定的。 \ citet {milcent_moment-fluid_2020}的最先进的作品提出了目标函数的分析梯度，从而大大降低了计算成本。在这项研究中，我们通过使用高斯 - 纽顿迭代而不是Broyden-Fletcher-Goldfarb-Shanno（BFGS）迭代进一步加速MOF重建算法。我们还提出了对MOF重建的最初猜测，从而提高了MOF重建算法的效率和鲁棒性。我们对代码和测试用例的实施可在我们的GitHub存储库中获得。
The moment-of-fluid method (MOF) is an extension of the volume-of-fluid method with piecewise linear interface construction (VOF-PLIC). In MOF reconstruction, the optimized normal vector is determined from the reference centroid and the volume fraction by iteration. The state-of-art work by \citet{milcent_moment--fluid_2020} proposed an analytic gradient of the objective function, which greatly reduces the computational cost. In this study, we further accelerate the MOF reconstruction algorithm by using Gauss-Newton iteration instead of Broyden-Fletcher-Goldfarb-Shanno (BFGS) iteration. We also propose an improved initial guess for MOF reconstruction, which improves the efficiency and the robustness of the MOF reconstruction algorithm. Our implementation of the code and test cases are available on our Github repository.
