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基于稳定化的高雷诺数流场大涡模拟
发表时间：2010-01-31 浏览量：2368 下载量：772
| 全部作者： | 黄橙，包艳，周岱 |
| 作者单位： | 上海交通大学船舶海洋与建筑工程学院 |
| 摘 要： | 提出了一种适用于模拟高雷诺数湍流的稳定化有限元大涡模拟方法，可应用于对风流动等湍流的模拟。将经典Smagorinsky亚格子大涡模拟的有限元方法（finite element method, FEM)与流线迎风Petrov-Galerkin (streamline upwind Petrov-Galerkin，SUPG)稳定化方法相结合，得到新型稳定化有限元大涡模拟格式。对空间离散，采用速度和压力同阶的等参元差值函数；对时间离散，采用二阶精度且高稳定化的三步有限元方法；钝体绕流的湍流边界采用Nomura壁面函数方法。以雷诺数105下的二维三角腔拖拽流和雷诺数22 000下的二维方柱绕流为例开展数值模拟。计算结果显示：本方法可有效减小对流项引起的数值振荡，且在较粗糙网格条件下得到满意精度的结果。 |
| 关 键 词： | 工程结构；大涡模拟；有限元；高雷诺数；流线迎风Petrov-Galerkin方法 |
| Title： | A stabilized finite element technique of large eddy simulation for turbulent flow with high Reynolds number |
| Author： | HUANG Cheng, BAO Yan, ZHOU Dai |
| Organization： | School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University |
| Abstract： | In this paper, a stabilized finite element technique is developed to predict turbulent flow with high Reynolds number which can be applied in the simulation of turbulent fluid flow such as wind flow. Finite element method (FEM) is implemented with streamline upwind Petrov-Galerkin (SUPG) stabilized technique for the formulation of Smagorinsky sub-grid scale (SGS) model of the incompressible viscous flow in large eddy simulation. A series of computation is performed using isoparametric element difference function with volecity and pressure of the same order for space discretization. A series of computation is performed using highly-stabilized three-step FEM with second order accuracy for time discretization. And Nomura’s wall damping function is enforced for the no-slip boundary condition of the bluff body surface. Lid driven flow of Re=105 in a triangular cavity and turbulent flow past a square cylinder of Re=22 000 are discussed as numerical examples. Results show that the present technique can effectively suppress the numerical instabilities of the fluid flow caused by convection term with a moderate number of elements and well predict the result. |
| Key words： | engineering structure; large eddy simulation; finite element method; high Reynolds number; streamline upwind Petrov-Galerkin |
| 发表期数： | 2010年1月第2期 |
| 引用格式： | 黄橙，包艳，周岱. 基于稳定化的高雷诺数流场大涡模拟[J]. 中国科技论文在线精品论文，2010，3（2）：109-114. |
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