基于MPS方法模拟低雷诺数方柱绕流问题  

Numerical simulation of low-Re flow around a square cylinder by MPS method

作　　者：兰小杰 赵伟文 万德成[1] 邹丽[2] LAN Xiaojie;ZHAO Weiwen;WAN Decheng;ZOU Li(Computational Marine Hydrodynamics Lab (CMHL), School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;School of Naval Architecture, Dalian University of Technology, Dalian 116024, China)

机构地区：[1]上海交通大学船海计算水动力学研究中心(CMHL)船舶海洋与建筑工程学院,上海200240 [2]大连理工大学船舶工程学院,辽宁大连116024

出　　处：《海洋工程》2022年第3期83-92,共10页The Ocean Engineering

基　　金：国家重点研发计划项目(2019YFC0312400,2019YFB1704200);国家自然科学基金资助项目(51879159)。

摘　　要：柱体绕流问题是流体力学领域一个非常经典的问题。当流体流经柱体时,由于黏性的存在,会发生许多复杂的流动现象,如流动分离、涡旋周期性生成与脱落等,经常被作为标准验证算例。同时,柱体绕流广泛存在于实际工程中,并在一定工况下可能对工程产生巨大危害,因此对柱体绕流进行深入研究具有重要意义。研究中,拟将一种无网格类方法——半隐式移动粒子方法(moving particle semi-implicit method,简称MPS)引入到柱体绕流问题的数值研究中,并对不同雷诺数下二维方柱绕流问题进行数值模拟。首先,使用基于MPS方法自主开发的MLParticle-SJTU求解器,结合入口边界条件和出口边界条件,模拟了雷诺数Re分别为40、200和1000时均匀来流条件下的方柱绕流。随后,将模拟的绕流结果与文献中试验和数值计算结果进行了对比,结果吻合较好,并且在雷诺数为200和1000时,可以清晰地捕捉到方柱尾流中的卡门涡街现象,验证了MPS方法在柱体绕流问题模拟上的有效性和适用性。Flow past a cylinder is a classical problem in the field of fluid mechanics.Because of the viscosity,when the fluid flows past the cylinder,many complex flow phenomenons will occur,such as the separation of flow,the periodic generation and shedding of vortices and so on,so the flow around a cylinder is often taken as a standard verification example.At the same time,it widely exists in practical projects where fluid flows through a cylinder,and may cause great harms under some working conditions.Therefore,it is of great significance to take in-depth research on it.In this study,a meshless method,moving particle semi-implicit method(MPS),is proposed to be introduced into the numerical study of the flow around a cylinder,and numerical simulation is carried out for the flow around a two-dimensional square cylinder under different Reynolds Numbers.First of all,the MLParticle-SJTU solver developed independently based on MPS method is used to simulate the flow around the square cylinder when the Reynolds number is 40,200 and 1000 respectively,combining the inlet boundary and outlet boundary.Then,the simulated results are found in agreement with the experimental and numerical calculation results in other papers.When the Reynolds number is 200 and 1000,the phenomenon of Karman vortex in the square cylinder wake can be clearly captured,which verifies the effectiveness and applicability of MPS method in the simulation of flow around the cylinder.

关 键 词：MPS 方柱绕流 低雷诺数 MLParticle-SJTU求解器 

分 类 号：P751[交通运输工程—港口、海岸及近海工程]