用移动粒子半隐式方法数值模拟Poiseuille流动问题  

Numerical simulation of Poiseuille flow based on moving particle semi-implicit method

作　　者：兰小杰 赵伟文 万德成[1,2] LAN Xiaojie;ZHAO Weiwen;WAN Decheng(Computational Marine Hydrodynamics Laboratory,Shanghai Jiao Tong University,Shanghai 200240,China;School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学船海计算水动力学研究中心,上海200240 [2]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《中国舰船研究》2022年第4期177-182,共6页Chinese Journal of Ship Research

基　　金：国家自然科学基金资助项目(51879159,52131102);国家重点研发计划资助项目(2019YFB1704200)。

摘　　要：[目的]Poiseuille流动问题广泛存在于工业生产中,而采用移动粒子半隐式(MPS)方法模拟Poiseuille流等壁面剪切流动其稳定性与可靠性还需要进一步予以验证。[方法]首先,在MPS方法求解器MLParticle-SJTU的基础上,建立恒流量入口边界条件和无滑移壁面边界条件;然后,在入口边界改变来流速度,对二维管道中不同雷诺数下的不可压缩牛顿流体Poiseuille流进行模拟研究;最后,将数值模拟结果与理论解析结果进行对比,验证数值模拟结果的准确性。[结果]模拟结果显示,流动充分发展后,Poiseuille流的速度剖面呈抛物线型,且在不同雷诺数下,数值模拟结果的速度峰值与理论解析解间的相对误差均在5%以内。[结论]所做研究说明在所提边界条件下,采用MPS方法模拟二维Poiseuille流是有效且可靠的。[Objectives]Poiseuille flow widely exists in the industry,but the stability and reliability of the moving particle semi-implicit(MPS)method in the simulation of wall shear flow such as Poiseuille flow need to be verified.[Methods]The meshless solver MLParticle-SJTU,which was developed independently based on the MPS method,is used to simulate Poiseuille flow in 2D pipes under different Reynolds numbers by establishing the inflow boundary and no-slip wall boundary,and the fluid is an incompressible Newtonian fluid.The numerical simulation results and theoretical results are then compared to verify the accuracy of the former.[Results]The results show that the velocity profile of Poiseuille flow is parabolic when the flow is fully developed,and the error of the numerical simulation results is within 5%compared with the theoretical results under different Reynolds numbers.[Conclusion]This study shows that the MPS method is effective and reliable for simulating 2D Poiseuille flow under the boundary conditions proposed in this paper.

关 键 词：移动粒子半隐式方法 Poiseuille流动 MLParticle-SJTU求解器 雷诺数 

分 类 号：U661.1[交通运输工程—船舶及航道工程]