基于格子玻尔兹曼方法的二维柔性梁与刚性方柱相互作用的数值研究

建立一套适用于处理刚体-柔性体-流体的复杂流固耦合问题的数值方法,即浸入边界法、格子Boltzmann方法、时间异步算法相结合的数值算法。对均匀来流中单根梁的周期性摆动、带弹性支承的方柱振动进行数值模拟,并将模拟结果与已有研究成果进行对比分析,结果发现本文采用的数值方法可以很好地模拟刚体-柔性体-流体的复杂流固耦合问题。然后对低雷诺数下(Re=100),流向角α=45°时,带弹性支承方柱后有柔性梁的流固耦合振动情况进行研究,通过分析方柱的振幅和升阻力系数,探讨方柱振动响应随折减速度的变化规律,以及周围流场的流态与其演变过程。

基于LBM的方柱流固耦合数值研究

本文采用浸入边界-格子玻尔兹曼法,基于Fortran语言,结合OpenMP并行算法编写程序。计算了静止方柱绕流的升阻力系数及流场形态,将计算结果与已有文献对比。对带弹性支承的方柱振动进行了数值模拟,并将模拟结果与Fluent对比。研究低雷诺数下(Re=100),带弹性支承方柱的流固耦合振动情况,通过分析方柱的振幅和升力系数,探讨了方柱振动响应随折减速度(Ur)的变化规律,以及周围流场的流态的变化情况。

Dynamic anti-plane characteristic on an infinite piezoelectric medium with a movable rigid cylindrical inclusion

Scattering and dynamic stress concentrations of time harmonic SH-wave in an infinite elastic piezoelectric medium with a movable rigid cylindrical inclusion are studied in this paper with the help of complex variable and wave function expansion method. The relations that a movable rigid cylindrical inclusion depends on intensity of incident wave and electric field are revealed. The expressions of dynamic stress at the edge of the inclusion are obtained. Numerical calculations are made with different wave numbers and different piezoelectric characteristic parameters. The calculating results show that dynamic stress concentrations at the edge of the inclusion have linear dependence on the incident electric field. And dynamic analyses are very important for an infinite piezoelectric medium with a movable rigid cylindrical inclusion at larger piezoelectric characteristic parameters.