An efficient quasi-Newton method for three-dimensional steady free surface flow,International Journal for Numerical Methods in Fluids

当前位置： X-MOL 学术 › Int. J. Numer. Methods Fluids › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

An efficient quasi-Newton method for three-dimensional steady free surface flow
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2021-04-06 , DOI: 10.1002/fld.4989
Toon Demeester ₁ , E. Harald Brummelen ₂ , Joris Degroote _{1,

3}

Affiliation

In this article, we introduce the Free surface Quasi-Newton method with Least-Squares and Surrogate (FreQ-LeSS) to solve steady free surface flows, as encountered in, for example, marine applications. The method has two important advantages over other methods. First of all it is fast thanks to the efficient iterative scheme based on quasi-Newton iterations that make use of an advanced surrogate model. Second, it has good compatibility because it poses no special requirements on the flow solver that is called in the algorithm. The excellent convergence speed of the FreQ-LeSS method is demonstrated for a shallowly submerged submarine: good quality wave patterns are obtained in few iterations. These results match with ISIS-CFD, validating the FreQ-LeSS method. The total cost of solving this steady free surface problem is only a few times that of solving a steady single-phase flow with fixed free surface position. We conclude that FreQ-LeSS promises to be much faster than the two-phase time-stepping methods typically used to solve these problems, and provides a sharper interface at the same time thanks to the fitting approach. In the present work, we restrict ourselves to problems without surface-penetrating objects, to avoid the associated complications related to the contact-line motion.

中文翻译：

三维稳态自由表面流的一种高效拟牛顿法

在本文中，我们介绍了使用最小二乘法和代理项 (FreQ-LeSS) 的自由表面拟牛顿法来求解稳定的自由表面流，例如在海洋应用中遇到的问题。与其他方法相比，该方法有两个重要优点。首先，它的速度很快，这要归功于基于准牛顿迭代的高效迭代方案，该方案利用了高级代理模型。其次，它具有良好的兼容性，因为它对算法中调用的流求解器没有特殊要求。FreQ-LeSS 方法的出色收敛速度在浅水潜艇中得到了证明：只需几次迭代即可获得高质量的波形图。这些结果与 ISIS-CFD 匹配，验证了 FreQ-LeSS 方法。解决这个稳定的自由表面问题的总成本只是解决具有固定自由表面位置的稳定单相流的几倍。我们得出结论，FreQ-LeSS 有望比通常用于解决这些问题的两阶段时间步长方法快得多，并且由于拟合方法，同时提供了更清晰的界面。在目前的工作中，我们将自己限制在没有表面穿透物体的问题上，以避免与接触线运动相关的相关并发症。

更新日期：2021-04-06

点击分享查看原文

点击收藏

阅读更多本刊最新论文本刊介绍/投稿指南11