SPH方法进出口数值边界条件研究

计算物理 ›› 2016, Vol. 33 ›› Issue (5): 516-522.

SPH方法进出口数值边界条件研究

周杰, 徐胜利

清华大学航天航空学院, 北京 100084

收稿日期:2015-08-26 修回日期:2016-02-17 出版日期:2016-09-25 发布日期:2016-09-25
作者简介:周杰(1986-),男,博士,助理研究员,研究方向:超声速弹丸入水现象,E-mail:Beijihu1986@163.com
基金资助:
博士后面上基金（2015M581081）资助项目

Numerical Inlet and Outlet Boundary Conditions in SPH Method

ZHOU Jie, XU Shengli

School of Aerospace, Tsinghua University, Beijing 100084, China

Received:2015-08-26 Revised:2016-02-17 Online:2016-09-25 Published:2016-09-25

摘要/Abstract

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.

关键词: SPH, 边界条件, 虚粒子, 激波管

Abstract: 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.

Key words: SPH, boundary condition, virtual particles, shock tube

中图分类号:

V211.3

周杰, 徐胜利. SPH方法进出口数值边界条件研究[J]. 计算物理, 2016, 33(5): 516-522.

ZHOU Jie, XU Shengli. Numerical Inlet and Outlet Boundary Conditions in SPH Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(5): 516-522.

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