A moving mesh finite element algorithm for fluid flow problems with moving boundaries

M. J. Baines; M. E. Hubbard; P. K. Jimack

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A moving mesh finite element algorithm for fluid flow problems with moving boundaries

机译：具有运动边界的流体流动问题的运动网格有限元算法

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摘要

A moving mesh finite element method is proposed for the adaptive solution of second- and fourth-order moving boundary problems which exhibit scale invariance. The equations for the mesh movement are based upon the local application of a scale-invariant conservation principle incorporating a monitor function and have been successfully applied to problems in both one and two space dimensions. Examples are provided to show the performance of the proposed algorithm using a monitor function based upon arc-length.

机译：针对具有尺度不变性的二阶和四阶运动边界问题的自适应解，提出了一种运动网格有限元方法。网格运动方程是基于局部不变守恒原理的局部应用，该原理结合了监控功能，并已成功应用于一维和二维空间问题。提供了一些示例，以使用基于弧长的监视函数来显示所提出算法的性能。

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来源
《International Journal for Numerical Methods in Fluids》 |2005年第11期|共7页
作者
M. J. Baines; M. E. Hubbard; P. K. Jimack;
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原文格式 PDF
正文语种 eng
中图分类流体力学;
关键词
Moving boundaries; Moving meshes; Finite element method; Scale invariance;

机译：移动边界;移动网格;有限元法;尺度不变性;

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专利

1. A moving mesh finite element algorithm for fluid flow problems with moving boundaries [J] . M. J. Baines, M. E. Hubbard, P. K. Jimack International Journal for Numerical Methods in Fluids . 2005,第10a11期

机译：具有运动边界的流体流动问题的运动网格有限元算法
2. A truly mesh-distortion-enabled implementation of cell-based smoothed finite element method for incompressible fluid flows with fixed and moving boundaries [J] . International Journal for Numerical Methods in Engineering . 2020,第14期

机译：通过固定和移动边界的不可压缩流体流动的基于细胞的平滑有限元方法的一种真正的网眼失真的有限元方法
3. Finite element analysis of fluid flows with moving boundary [J] . Kyung Se Cha, Jong Wook Choi, Chan Guk Park KSME International Journal . 2002,第5期

机译：具有运动边界的流体流动的有限元分析
4. Robust moving-mesh algorithms for hybrid stretched meshes: Application to moving boundaries problems [C] . Jonathan Landry, Azzeddine Soulaiemani, Edward Luke, AIAA aerospace sciences meeting;AIAA SciTech Forum . 2016

机译：混合拉伸网格的鲁棒移动网格算法：在移动边界问题中的应用
5. High-Performance Discrete-Vortex Algorithms for Unsteady Viscous-Fluid Flows near Moving Boundaries. [D] . Wang, Lu. 2016

机译：流动边界附近非稳定粘性流体流动的高性能离散涡旋算法。
6. A practical adaptive moving-mesh algorithm for solving unconfined seepage problem with Galerkin finite element method [O] . Qianwei Dai, Yi Lei, Bin Zhang, -1

机译：Galerkin有限元法求解无侧限渗水问题的实用自适应移动网格算法
7. A moving mesh finite element algorithm for fluid flow problems with moving boundaries [O] . Baines M.J., Hubbard M.E., Jimack P.K. 2005

机译：移动边界流体流问题的移动网格有限元算法

A moving mesh finite element algorithm for fluid flow problems with moving boundaries

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