基于SPH方法的球形贮箱液体晃动动力学分析

针对发生液体破碎现象的航天器球形贮箱液体晃动问题,基于光滑粒子流体动力学方法（SPH方法）对N S方程进行离散近似，分别对核函数、应力张量、边界问题、邻域粒子搜索等方面进行选择确定或计算处理，最终得到基于SPH方法的流体动力学模型。通过建立包括不同燃料液体体积及不同挡板安装位置的仿真模型，分析了航天器球形贮箱的受力及局部压强。通过分析贮箱受力情况及设置测量点压强情况，得到运动参数对晃动的影响规律，为航天器球形贮箱的设计提供了理论依据。

Dynamic analysis of liquid sloshing in spherical tank based on SPH method

For the problem of spacecraft spherical tank sloshing with large probability of liquid fracture, the smoothed particle hydrodynamics (SPH) method was selected for modeling analysis. The N S equations were discretely approximated, and the kernel function, stress tensor, boundary problem, neighborhood particle search were selected respectively. The calculation process finally leads to a fluid dynamics model based on the SPH method. By establishing the simulation model of different fuel liquid volumes and baffle mounting positions, the force and local pressure of spacecraft spherical tank were analyzed by simulation. By recording the force and setting the pressure of the measuring point, the influence of different simulation parameters was analyzed and the corresponding laws were finally obtained. The result can provide the technical basis for the design of spacecraft spherical tank.