基于黎曼解的移动最小二乘粒子动力学数值方法

Moving Least Squares Particle Hydrodynamics with Riemann Solvers

叙述移动最小二乘粒子动力学(MLSPH)的基本原理,讨论一维MLSPH计算方法,提出两种不同精度的基于无网格的构造黎曼问题初值的方法.通过黎曼解近似粒子间的相互作用,减小接触间断附近的震荡,并给出多介质一维激波管问题的算例,验证此方法的有效性.

The moving least squares particle hydrodynamics （MLSPH） is presented and a 1D MLSPH algorithm is discussed. To reduce oscillations near contact discontinuities, two meshfree Riemann problem initial value methods with different accuracy are introduced. The effect of contact interaction between particles is decreased by the Riemann solver. Efficiency of the method is demonstrated by numerical tests of a 1 D shock tube.