为了精确、高效地模拟生物工程和化工生产领域中的固液两相流动、指导设备设计和改进生产工艺,在光滑粒子流体动力学方法(SPH)的基础上,提出了一种考虑固液双向耦合作用的固液二相流算法.其中,固液两相被离散为拉格朗日粒子,流体和固体力学的控制方程则转化为相应的粒子间作用力.模型由初始状态启动后,粒子在这些力的作用下运动演化.由粒子携带的信息,通过插值核函数可以求得流场和固体的运动参数.通过标准算例的模拟,验证了控制方程组和边界条件的正确性.使用该方法模拟二维球形固相在水中的运动,初步分析表明模拟结果是合理的,因而采用该方法模拟化工生产中的固液二相流问题也是可行的.
A computational method based on smoothed particle hydrodynamics was studied to simulate the liquid-solid two-phase flows in chemical industry and biological engineering so as to optimize the equipment design and production process. This Lagrangian particle-based method represented both the fluid and the solid by a set of particles which carrying the flow information. In the simulation, the components of the governing equations were seen as forces between pairs of particles, and any parameter of the calculation domain could be calculated using an interpolating kernel. Simulations of Couette and Poiseuille flows using the program showed close agreement with series solutions. Simulation of a rigid ball rising process in the water by the two-way coupling method shows that this method is appropriate for simulation of flows containing viscous fluid and macroscopic solid components.