三维矩形六面体中流体矩法的改进
Some improvements on Moment-of-Fluid method in 3D rectangular hexahedrons
摘要：
流体矩法（Moment-of-Fluid Method，MOF）是分段线性界面构造的流体体积法（VOF-PLIC）的推广。在MOF重建中，通过迭代从参考质心和体积分数确定优化的法向量。\citet{milcent_moment--fluid_2020}的最新工作提出了目标函数的解析梯度，这大大降低了计算成本。在这项研究中，我们进一步加速的MOF重建算法，使用高斯-牛顿迭代代替Broyden-Fletcher-Goldfarb-Shanno（BFGS）迭代。我们还提出了一种改进的初始猜想的MOF重建，提高了效率和MOF重建算法的鲁棒性。我们的代码和测试用例的实现可以在我们的Github存储库中找到。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
