带人工热通量的移动最小二乘光滑粒子动力学数值方法

Computational method for Moving Least Squares Particles Hydrodynamics with artificial heat flux

叙述了移动最小二乘光滑粒子动力学(MLSPH)的基本原理,讨论了一维MLSPH计算方法,为减小接触间断附近的震荡,在能量方程中,引入了人工热通量,并给出了多介质一维激波管问题的算例,表明了此种方法的有效性。

The basic theory of Moving Least Squares Particles Hydrodynamics （MLSPH） is presented firstly and 1D MLSPH algorithm is also discussed, the expression of artificial viscosity, the evolvement of the MLSPH scheme and the method of time integration are included. But when this algorithm is implemented, there is the oscillation near contact discontinuities, which is one of the difficult problems in hydrodynamics by meshfree methods. To reduce the oscillations near interface of different matierials, the artificial heat flux of meshfree is added into the equation of energy in MLSPH. Finally, numerical tests of different 1D shock tube problem for multi-fluids are given, the phenomenon of oscillation near contact discontinuities reduces in evidence, which shows the efficiency of this method.