Numerical simulation of wetting phenomena by a meshfree particle method

Numerical simulation of wetting phenomena by a meshfree particle method
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DOI:
10.1016/j.cam.2015.07.021
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发表时间:
2014-06
期刊:
J. Comput. Appl. Math.
影响因子:
--
通讯作者:
S. Tiwari;A. Klar;S. Hardt
S. Tiwari;A. Klar;S. Hardt
中科院分区:
其他
文献类型:
--
作者:
S. Tiwari;A. Klar;S. Hardt

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用无网格粒子法模拟了湿润现象。采用不可压缩的N-S方程对两相流进行数值模拟。采用连续表面力模型来考虑表面张力。采用Chorin投影法对N-S方程进行离散。通过为在整个模拟过程中保持不变的粒子指定不同的颜色和不同的材料特性(密度、粘度)来标识不同的流体相。采用单流体模型,通过对流体-流体界面附近区域的密度和粘度进行加权平均来捕捉两相流动。在最小二乘法的帮助下,根据周围的粒子云计算每个粒子上的微分算子。数值结果与具体的解析解进行了比较,也与先前考虑的容器润湿和固着液滴的测试案例进行了比较。我们找到了一个很好的总体共识。
Simulations of wetting phenomena by a meshfree particle method are presented. The incompressible Navier–Stokes equations are used to model the two-phase flow. The continuous surface force model is used to incorporate the surface tension force. Chorin’s projection method is applied to discretize the Navier–Stokes equations. The different fluid phases are identified by assigning different colors and different material properties (density, viscosity) to the particles that remain unchanged throughout a simulation. Two-phase flow is captured by a one-fluid model via using weighted averages of the density and viscosity in a region around the fluid–fluid interface. The differential operators at each particle are computed from the surrounding cloud of particles with the help of the least-squares method. The numerical results are compared with specific analytical solutions, but also with previously considered test cases involving wetting of a container and sessile drops. A good overall agreement is found.