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针对无网格粒子法下的离散壁面边界,通过基于粒子数密度的机理分析,证明了离散数值边界与真实边界之间存在差异.分别在二维和三维尺度下,通过计算并分析典型情况下近壁面零散流体粒子的运动轨迹,验证了该差异的存在并展示了壁面对流动产生影响的方式和相关现象.结果表明,数值壁面边界未能完全准确描述真实物理边界,壁面对流体的影响区域并非完全非光滑平顺,这对近壁面流动尤其是低速零散流体粒子会产生一定影响.

The existence of discrepancy between the discretized numerical boundary of meshless particle method and the assumed real one is proved by the mechanism analysis based on the notion of particle number density.By simulating the movement of scattered fluid particles in the vicinity of boundaries under typical cases and analyzing their trajectories,such difference is verified.What's more,the way of the boundaries exert influences on flows and its related phenomena are conspicuously demonstrated.The results show that the numerical boundaries do not exactly represents the real physical ones and their influences zone to fluid are not smooth,which lead to deflect and error for the near wall flows,especially for the scattered fluid particles with low velocity.

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