Stabilized finite element method for incompressible flows with high Reynolds number
Stabilized finite element method for incompressible flows with high Reynolds number
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DOI：
10.1016/j.jcp.2010.07.030
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发表时间：
2010-11-20
影响因子：
4.1
通讯作者：
Coupez, T.
中科院分区：
文献类型：
--
作者：
Hachem, E.;Rivaux, B.;Coupez, T.
在下面的论文中，我们讨论了详尽的使用和实施的稳定化有限元方法的三维时间相关的不可压缩Navier-Stokes方程的解决方案。所提出的方法开始通过使用有限元变分多尺度（VMS）方法，其中包括在这里的速度和压力场的分解成粗/分辨尺度和细/未分辨尺度。这种分解的选择被证明是有利的模拟在高雷诺数的流动。我们探讨的行为和准确性的三个测试用例的近似。首先，盖驱动方腔在雷诺数高达50,000的高分辨率的数值模拟和第二，盖驱动立方腔高达Re = 12,000的实验数据进行了比较。最后，我们研究了Re = 42，000时二维后向台阶上的流动。结果表明，该方法在高雷诺数非结构网格下具有良好的稳定性和精度。(C)2010年爱思唯尔公司All rights reserved.
In the following paper, we discuss the exhaustive use and implementation of stabilization finite element methods for the resolution of the 3D time-dependent incompressible Navier-Stokes equations. The proposed method starts by the use of a finite element variational multiscale (VMS) method, which consists in here of a decomposition for both the velocity and the pressure fields into coarse/resolved scales and fine/unresolved scales. This choice of decomposition is shown to be favorable for simulating flows at high Reynolds number. We explore the behaviour and accuracy of the proposed approximation on three test cases. First, the lid-driven square cavity at Reynolds number up to 50,000 is compared with the highly resolved numerical simulations and second, the lid-driven cubic cavity up to Re = 12,000 is compared with the experimental data. Finally, we study the flow over a 2D backward-facing step at Re = 42,000. Results show that the present implementation is able to exhibit good stability and accuracy properties for high Reynolds number flows with unstructured meshes. (C) 2010 Elsevier Inc. All rights reserved.