基于长程力的SPH方法固壁边界处理

Solid boundary treatment for SPH method based on long-range force

将近场动力学(PD)中的长程力引入光滑粒子流体动力学(SPH)的固壁边界处理模型中,给出一种适合SPH方法边界处理的新方法。通过液柱坍塌、Poiseuille流、水铸造充型仿真和土体崩塌4个算例对该方法的有效性进行验证。结果表明:该方法能很好地解决粒子非物理穿透边界;能客观反映真实的边界作用;对于复杂几何边界和具有材料强度的动力学问题也相当有效。

A new method for boundary treatment of presented through introduction of the long-range force SPH. The reliability of the method is verified by four break, Poiseuille flow, water casting filling the smoothed particle hydrodynamics （SPH） method is in peridynamics （PD） to the solid boundary treatment of numerical simulation examples, including a liquid column , and soil collapse. The results show that the method can solve the problem of non-physical particle penetration boundary and objectively reflect actual boundary action, and is effective for dynamic problems with complex geometric boundies and material strength.