振动边界耦合作用下基于微分求积法的三维不可压缩粘性流体的数值模拟  

Numerical simulation of three-dimensional fluid-structure interaction for incompressible viscous fluid by differential quadrature method

作　　者：张立翔[1] 徐天茂[1] 张洪明[1] 

机构地区：[1]昆明理工大学工程力学系,昆明650051

出　　处：《水动力学研究与进展（A辑）》2005年第2期196-206,共11页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金重大基础研究计划项目(90210005)

摘　　要：本文采用微分求积(DQ)法基于非交错网格建立在考虑流体 结构相互作用下求解三维不可压缩流体 Navier Stokes方程的数值方法。弹性振动边界为矩形薄板,诱发板振动的因素为作用在板上的脉动压力场,边界板的振动与流动形成耦合作用。数值结果给出了一箱形流道内雷诺数分别为 100,1000 和 10000 时的流场。大量分析表明,用本文方法模拟考虑流体 结构相互作用下的流动问题是可行的。Numerical simulation of three-dimensional fluid-structure interaction for incompressible viscous fluid described by Navier-Stokes equations in primitive variable form is established based on the differential quadrature (DQ) method and a non-staggered grid technology. The vibrating boundary is a rectangular plate, whose vibration is induced by the turbulence pulsating pressure. The numerical results were obtained for Reynolds numbers of 100, 1000 and 10000 as working examples. The analysis shows that the numerical method based on the DQ method for fluid-structure interaction is feasible and effective in simulating three-dimensional incompressible fluids flow with high Reynolds numbers.

关 键 词：三维粘性流动 数值模拟 流体-结构相互作用 DQ法 

分 类 号：O357.1[理学—流体力学]