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

    摘要
  • 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。

     

    Abstract:
      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.

     

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