SPH方法进出口数值边界条件研究  

Numerical Inlet and Outlet Boundary Conditions in SPH Method

作　　者：周杰[1] 徐胜利[1] 

机构地区：[1]清华大学航天航空学院,北京100084

出　　处：《计算物理》2016年第5期516-522,共7页Chinese Journal of Computational Physics

基　　金：博士后面上基金(2015M581081)资助项目

摘　　要：基于虚粒子概念,提出进出口数值边界条件处理方法.在进口边界外设置进口区域,并赋予进口虚粒子相应的物理量;出口边界外设置出口和缓冲区域,出口虚粒子的物理量由计算获得,缓冲区的虚粒子初始物理量是指定的;根据每个时间步的流动情况,改变粒子的区域属性,添加/删除相应的粒子.利用拉格朗日形式的SPH方法,通过管内流动问题验证数值进出口边界方法的适用性,研究进出口边界条件在激波管、绕流问题中的应用.提出的进出口边界处理方法,避免了边界附近流体粒子积分截断问题,保证流体粒子能够流出边界,激波能够透射边界.With concepts of virtual particles, we present a method for inlet and outlet boundary conditions. Inlet zone is located just outside inlet boundary, which is defined and filled with virtual particles. Outlet and buffer zones are located just outside outlet boundary. Quantities of outlet boundary virtual particles are calculated, and quantities of buffer boundary virtual particles are imposed. According to stream status of every time step, zone property of fluid particles could to be changed. Relevant fluid particles are added or remored, when boundary virtual particles inflow or outflow fluid domain. With SPH method based on N-S equation, two-dimensional pipe flow is used to verify boundary conditions. Finally boundary conditions applied in calculation models of shock tube and flow around a cylinder are studied. Inlet and outlet boundary conditions are proposed to avoid fluid particles integral truncation near border, and to assure fluid particles and shock wave flow out boundary.

关 键 词：SPH 边界条件 虚粒子 激波管 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]