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首页> 外文期刊>Journal of Computational Physics >A novel mesh regeneration algorithm for 2D FEM simulations of flows with moving boundary
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A novel mesh regeneration algorithm for 2D FEM simulations of flows with moving boundary

机译：具有流动边界的流动的二维有限元模拟的新型网格再生算法

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摘要

A novel mesh regeneration algorithm is proposed to maintain the mesh structure during a finite element simulation of flows with moving solid boundary. With the current algorithm, a new body-fitted mesh can be efficiently constructed by solving a set of Laplace equations developed to specify the displacements of individual mesh elements. These equations are subjected to specific boundary conditions determined by the instantaneous body motion and other flow boundary conditions. The proposed mesh regeneration algorithm has been implemented on an arbitrary Lagrangian-Eulerian (ALE) framework that employs an operator-splitting technique to solve the Navier-Stokes equations. The integrated numerical scheme was validated by the numerical results of four existing problems: a flow over a backward-facing step, a uniform flow over a fixed cylinder, the vortex-induced vibration of an elastic cylinder in uniformly incident flow, and a complementary problem that compares the transient drag coefficient for a cylinder impulsively set into motion to that measured on a fixed cylinder in a starting flow. Good agreement with the numerical or experimental data in the literature was obtained and new transient flow dynamics was revealed. The scheme performance is further examined with respect to the parameter employed in the mesh regeneration algorithm.
机译：提出了一种新颖的网格再生算法，该算法在流动边界为边界的流动有限元模拟过程中保持网格结构。使用当前算法，可以通过求解为指定各个网格元素的位移而开发的一组拉普拉斯方程组，来高效地构建新的身体拟合网格。这些方程式受特定的边界条件的限制，该条件由瞬时物体运动和其他流边界条件确定。所提出的网格再生算法已在任意拉格朗日-欧拉（ALE）框架上实现，该框架采用算子分解技术来求解Navier-Stokes方程。通过四个存在的问题的数值结果验证了集成的数值方案：一个向后的台阶上的流动，一个固定圆柱体上的均匀流动，一个均匀入射流中一个弹性圆柱体的涡激振动，以及一个补充问题。可以将冲动运动的气缸的瞬态阻力系数与在起始流中在固定气缸上测得的瞬态阻力系数进行比较。获得了与文献中的数值或实验数据的良好一致性，并揭示了新的瞬态流动动力学。关于网格再生算法中使用的参数，进一步检查了方案性能。

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