基于格子Boltzmann和POD方法的非定常流场重建  

Flow Field Reconstruction Based on Lattice Boltzmann and POD Method

作　　者：罗芸 钱进[1] 王一桂 朱道兴 于涛 林志恒 赵威 LUO Yun;QIAN Jin;WANG Yigui;ZHU Daoxing;YU Tao;LIN Zhiheng;ZHAO Wei(School of Electrical Engineering,Guizhou University,Guiyang 550025,China;Power China Guizhou Engineering Co.Ltd.,Guiyang 550003,China)

机构地区：[1]贵州大学电气工程学院,贵州贵阳550025 [2]中国电建集团贵州工程有限公司,贵州贵阳550003

出　　处：《贵州大学学报（自然科学版）》2023年第1期20-24,共5页Journal of Guizhou University:Natural Sciences

基　　金：贵州省科技支撑计划资助项目([2020]2Y040)。

摘　　要：以二维圆柱雷诺数Re=100绕流为研究对象,在格子Boltzmann方法模拟非定常流动的基础上,利用本征正交分解(proper orthogonal decomposition, POD)算法获取二维圆柱绕流周期性稳定脱落阶段POD基函数及对应的系数,用以实现非定常流场的重建,并研究不同POD模态阶数对重建效果的影响。结果表明:前5阶POD模态占总能量的99%,可以准确地重构流场,流场重构误差最大绝对值为8×10^(-4);随着模态阶数的增加,流场主要特征表达得越细致,且流场重建误差由大幅度降低,缓慢减低到趋于稳定几乎保持不变。To study the flow around a two-dimentional cylindar with Reynolds number Re=100,based on the lattice Boltzmann method to simulate unsteady flow, this study obtained the POD basis function and corresponding coefficients of the periodic steady shedding stage of two-dimensional cylindrical flow around a cylinder by using the proper orthogonal decomposition(POD) method to reconstruct unsteady flow field. Besides, the effect of different POD modes on the reconstruction effect is also studied. The results show that the first five POD modes account for 99% of the total energy, and the flow field can be reconstructed accurately, the maximum absolute value of the flow field reconstruction error being 8×10^(-4). With the increase of the modal order, the main characteristics of the flow field are expressed in more detail, and the flow field reconstruction error decreases greatly, then slowly, finally almost remaining stable.

关 键 词：本征正交分解 流场重构 圆柱绕流 格子BOLTZMANN 

分 类 号：O357.1[理学—流体力学]