基于SPH方法的溃坝流动数值模拟

Numerical simulation of dam-break flows using SPH method

应用光滑粒子流体动力学方法对溃坝问题进行了数值模拟,在现有SPH方法的理论基础上对密度近似方程进行了重新初始化处理,分析了密度重新初始化对溃坝流动问题的影响,并对SPH数值模拟所得到的结果与试验结果以及移动粒子半隐式方法得到的计算结果进行了比较和分析.结果表明,对密度近似方程进行重新初始化保持了流场内的质量守恒,同时整个计算域内的压力分布更加规则,SPH方法数值模拟得到的结果与实验结果和MPS方法得到的结果非常吻合,验证了改进方案及所编程序的可靠性和计算结果的准确性.

This paper presents the numerical simulations for dam-break problems using smoothed particle hydrodynamics（SPH） and analyzes the difference of simulation results and influence factors.Based on the existing SPH theory,the paper re-initializes the density approximate equation,analyzes the effect of dam-break flow problem by density re-initialization,and then compares the simulated results produced by SPH with the relative experiment results with the calculated results obtained from MPS（moving particle semi-implicit）.The simulated results show that re-initializing density approximate equation keeps the mass conservation of flow and makes the pressure distribution more regular in computation fields.The numerical simulation results obtained from SPH are consistent with the relative experiments and the results obtained from MPS.It proves the reliability of the improved scheme with programs and the accuracy of the calculated results.