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三维溃坝流的光滑粒子动力学方法模拟
引用本文:许晓阳,任胜章,邓方安.三维溃坝流的光滑粒子动力学方法模拟[J].计算力学学报,2016,33(5):676-682.
作者姓名:许晓阳  任胜章  邓方安
作者单位:1. 陕西理工大学 数学与计算机科学学院,汉中 723000; 西北工业大学 应用数学系,西安 710129;2. 陕西理工大学 数学与计算机科学学院,汉中,723000
基金项目:国家自然科学基金(11502132);陕西省教育厅科研计划项目(15JK1152);陕西理工大学博士科研启动基金(SLGKYQD2-15)资助项目.
摘    要:采用光滑粒子动力学SPH(Smoothed Particle Hydrodynamics)方法对三维溃坝流问题进行了数值模拟。为了逼真地模拟出坝内水体与壁面间相互作用而产生的水花飞溅、融合以及近壁面流动等现象,加入了混合长度形式的湍流模型。为了有效地防止粒子穿透固壁,提出了一种新型的适合三维数值模拟的固壁边界处理方法。应用SPH方法对三维溃坝流进行了数值模拟,并分别考虑了未添加障碍物和添加圆柱障碍物两种情形。计算结果表明,改进SPH方法能够精细地捕捉溃坝流在不同时刻的自由液面,并获得稳定而精确的数值结果。

关 键 词:光滑粒子动力学  三维数值模拟  溃坝流  障碍物
收稿时间:2015/5/13 0:00:00
修稿时间:2015/8/25 0:00:00

Numerical simulation of 3D dam-break flow using smoothed particle hydrodynamics
XU Xiao-yang,REN Sheng-zhang,DENG Fang-an.Numerical simulation of 3D dam-break flow using smoothed particle hydrodynamics[J].Chinese Journal of Computational Mechanics,2016,33(5):676-682.
Authors:XU Xiao-yang  REN Sheng-zhang  DENG Fang-an
Institution:School of Mathematics and Computer Science, Shanxi University of Technology, Hanzhong 723000, China;Department of Applied Mathematics, Northwestern Polytechnical University, Xi''an 710129, China;School of Mathematics and Computer Science, Shanxi University of Technology, Hanzhong 723000, China;School of Mathematics and Computer Science, Shanxi University of Technology, Hanzhong 723000, China
Abstract:We present a numerical simulation of 3D dam-break flow with smoothed particle hydrodynamics (SPH).In order to reproduce the phenomena of splashing and coalescence to the life,the turbulence model,i.e.,the mixing length model is implemented in the SPH code.In order to prevent fluid particles from crossing the walls,we propose an improved treatment technique of wall boundary,which is suitable for 3D numerical simulation.3D dam-break flow is numerically simulated by the improved SPH method.In particular,both cases,i.e.,without any obstacle and with a cylindrical obstacle are considered.It is demonstrated that the improved SPH method can nicely capture the variation of the free surface and well describe the dynamic process of dam-break flow with accurate and stable results.
Keywords:smoothed particle hydrodynamics  3D numerical simulation  dam-break  obstacle
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