基于SPH方法的圆柱形贮箱液体晃动研究

在飞行器燃油供给方式的选择和飞行姿态控制调整中,必须充分考虑贮箱内燃油的晃动情况及其对贮箱冲击力的影响。然而液体晃动问题的高度非线性使得其研究极具挑战性。采用光滑质点流体动力学方法对圆柱形贮箱内液体的晃动进行建模仿真,将晃动液体的控制微分方程组离散到一系列流体粒子上,从而将不同物理量函数的连续积分转换成支持域内粒子的离散化求和形式,通过求解线性方程组得到数值解。在固壁边界上布置一组虚粒子,以对内部粒子产生排斥力来模拟固壁边界条件,同时采用狄利克雷边界条件方法模拟自由液面,实现对自由液面的追踪。将仿真的液面变化与试验结果作了对比,吻合较好。得到了贮箱壁面上不同监测点的压强变化以及贮箱与液体之间的相互作用力,并说明了结果的准确性。数值计算方法对液体晃动问题的研究提供一定参考价值。

Study on Liquid Sloshing in Cylindrical Tank Based on SPH Methods

Aerocraft fuel supply mode selection and flight attitude control must take full account of fuel sloshing and its impact force on the tank .However , the high nonlinear problem of sloshing makes its stud-y challenge .Aiming at this ,a simulation of liquid sloshing in cylindrical tank has been performed based on Smoothed Particle Hydrodynamics （ SPH） methods.This method is to differential equations on a series of particles .Thus the continuous integration of different physical functions can be converted into summa -tion form of discrete particles in the support region ,then solve the obtained linear equations .Some virtual particles are located on the boundary of the solid wall .These virtual particles exert a repulsive force on the internal boundary particles to simulate interaction between liquid and wall .And Dirichlet boundary condition method is used to simulate the free surface to get the liquid surface changes .And it is in good a-greement with experimental research .The pressure on different monitoring points and contact forces be-tween tank and liquid are presented ,the accuracy of these results is demonstrated by analysis .This nu-merical simulation method provides reference value to tank sloshing problem research .