摘要
对粘性流体圆柱绕流进行了数值模拟。根据三阶Taylor展开弱解的概念,在二阶分裂步Taylor-Galerkin有限元法基础上,采用时间推进和张量分析的方法推导了对流扩散通用微分方程的ETG有限元离散格式。对Reynolds数为32、102和250的粘性流体圆柱绕流流场进行了数值仿真,数值模拟结果与实验结果吻合良好。表明隐含流线迎风耗散作用并具有三阶部分展开的Taylor-Galerkin有限元法稳定性好,精度较高,可用于计算包含对流扩散耦合传递动量的绕流问题及类似的流动问题。
:Presents the numerical simulation of viscous flow round a circular cylinder using the concept of weak-solution of third order Taylor expansion,the ETG finite element discretization scheme of general convective-diffusion equations deduced on the basis of Taylor-Galerkin finite element method with time fractional step and tensor analysis Re=32,102,250 with results in good agreement with the experimental data available and the better stability and accuracy of the implied streamline up-winding dissipation and partly third-order expansion Taylor-Galerkin finite element method revealed which can be used to solve such problems as coupling convective-diffusion and transported momentum of flow around bodies.
出处
《哈尔滨建筑大学学报》
北大核心
2001年第1期62-66,共5页
Journal of Harbin University of Civil Engineering and Architecture
关键词
粘性流体
流场
数值模拟
圆柱绕流
有限元
对流扩散
viscous fluid;flow field;numerical simulation;flow past a circular cylinder;convective-diffusion;discretization scheme;finite element method;time stepping method