SPH固壁边界处理方法的改进  

An Improved Boundary Treatment Approach for SPH Method

作　　者：龚凯[1] 刘桦[1] 王本龙[1] 

机构地区：[1]上海交通大学工程力学系,上海200240

出　　处：《力学季刊》2008年第4期507-514,共8页Chinese Quarterly of Mechanics

基　　金：博士点基金项目(20060248046);国家自然科学基金项目(10572093);上海市重点学科建设项目(B206)

摘　　要：提出一种适用于光滑质点水动力学(SPH)方法的改进的边界处理方法。在这种方法中,边界粒子的压力可通过其周围的流体粒子的压力插值得到,从而改进了耦合边界法在边界上压力不准的问题。运用这种改进的边界处理方法模拟了二维方形水箱中的非线性晃荡问题以及二维楔形体自由入水问题。模拟结果与实验结果吻合较好,证明了此改进的边界处理方法是有效的。An improved boundary treatment approach for smoothed particle hydrodynamics（SPH） method is presented. The pressure of a boundary particle is obtained by interpolation using the pressure of fluid particles in the near boundary area around it, and the boundary particle pressure is used in solving the momentum equations. This boundary treatment is implemented in the SPH model for two dimensional hydrodynamic flows with the free surfaces particularly at the violent deformation and breaking of it. The nonlinear sloshing in a rectangular tank and water entry of a wedge are simulated for model validation. It turns out that, for the case of sloshing, the free surface elevation at a wave probe is in good agreement with the experimental results. The computed values of pressure distribution along the surface of wedge coincide with the experimental data. It shows that this approach of boundary treatment works well for SPH models.

关 键 词：光滑质点水动力学(SPH) 边界处理 晃荡 人水 

分 类 号：O242[理学—计算数学]