To solve the problem of unreasonable boundary conditions of the existing smoothed particle hydrodynamics (SPH) non-Newtonian fluid simulation, a simulation system for collisions and two-way coupling of non-Newtonian fluids and solids is proposed to alleviate the loss of physical properties of simulated non-Newtonian fluid. In this paper, solids are sampled as single-layer boundary particles, and the corresponding density calculation formula is given. Fluid particles are interacting directly with the boundary particles under our interaction force calculation formula. The velocity of fluid particles near the boundary is iteratively updated using Coulomb friction boundary conditions. This method can be integrated into the existing SPH non-Newtonian fluid simulation system. Experiments show that the friction coefficient of the fluid–solid boundary can be adjusted according to the user’s experimental needs. Compared to simulation under free-slip boundary conditions, in our method non-Newtonian fluids can exhibit more diverse physical characteristics and have a good sense of reality effect.

为解决现有的光滑粒子流体动力学非牛顿流体模拟的边界条件不合理的问题，提出了非牛顿流体与固体的碰撞与双向耦合仿真系统，以减轻非牛顿流体与固体的碰撞。模拟的非牛顿流体。本文将固体作为单层边界颗粒进行采样，并给出了相应的密度计算公式。根据我们的相互作用力计算公式，流体粒子直接与边界粒子相互作用。使用库仑摩擦边界条件迭代地更新边界附近的流体粒子速度。该方法可以集成到现有的SPH非牛顿流体模拟系统中。实验表明，可以根据用户的实验需要调整流固边界的摩擦系数。与在自由滑移边界条件下进行仿真相比，在我们的方法中，非牛顿流体可以表现出更多的物理特性，并具有良好的现实感。