改进的物理粘性SPH方法及其在溃坝问题中的应用

An Improved SPH Method with Physical Viscosity and Application in Dam.break Problem

摘要: 在低雷诺数物理粘性SPH方法基础上引入再生核粒子法进行密度重构,既避免了用人工粘性所导致的数值耗散问题,又提高了低雷诺数物理粘性SPH方法的数值稳定性;以溃坝问题为例,对比分析低雷诺数物理粘性SPH方法和本文方法的仿真结果表明,本文方法可有效消除数值不稳定,压强和速度分布更加光滑,粒子秩序更好,可应用于雷诺数较高或粘性不可忽略的流动问题.

Abstract: In physical viscosity SPH method with low Reynolds number,density reinitialization is performed with reproducing kernel particle method(RKPM).It can avoid numerical dissipation resulting from artificial viscosity.Numerical stability of physical viscosity SPH method with low Reynolds number is improved.Taking dam-break problem for example,it is shown that the method can remove numerical instability efficiently.The method can be applied to problems with higher Reynolds numbers or viscous fluid.