Application of polynomial chaos on numerical simulation of stochastic cavity flow

作     者：WANG XiaoDong1,2 & KANG Shun1 1 Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, Ministry of Education, School of Energy Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, China 2 Department of Mechanical Engineering, Vrije Universiteit Brussel, Brussels 1050, Belgium 

作者机构：1. Key Laboratory of Condition Monitoring and Control for Power Plant Equipment Ministry of Education School of Energy Power and Mechanical Engineering North China Electric Power University Beijing 102206 China2. Department of Mechanical Engineering Vrije Universiteit Brussel Brussels 1050 Belgium 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2010年第53卷第10期

页      面：2853-2861页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.90718025) the EU Six Frame Project(Grant No.AST5-CT-2006-030959) 

主　　题：non-deterministic polynomial chaos numerical simulation lid driven cavity flow 

摘      要：In present paper,the mathematic background of intrusive polynomial chaos (IPC) method and coupling process with one dimension Euler equation were introduced. The IPC method was implemented for the 2D compressible stochastic Navier-Stokes equations to simulate the non-deterministic behavior of a lid driven cavity flow under the influence of uncertainties. The driven velocity and fluid viscosity were supposed respectively to be the uncertain variable which has Gaussian probability distribution. Based on the validation with benchmark results,discussions were mainly focused on the statistic properties of velocity distribution. The results indicated the effect of IPC method on the simulation of propagation of uncertainty in the flow field. For the simulated results of 2D cavity flow,influence of the driven velocity uncertainty is larger than that of viscosity.