A stencil adaptive phase‐field lattice Boltzmann method for two dimensional incompressible multiphase flows
A stencil adaptive phase‐field lattice Boltzmann method for two dimensional incompressible multiphase flows
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DOI：
10.1002/fld.3759
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发表时间：
2013-06
影响因子：
1.8
通讯作者：
J. Shao;Chi-Wang Shu;Jie Wu;Y. T. Chew
中科院分区：
文献类型：
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作者：
J. Shao;Chi-Wang Shu;Jie Wu;Y. T. Chew
本文提出了一种用于模拟二维多相流的模板自适应相场晶格玻尔兹曼方法。在相场模型中，界面被视为具有有限厚度的层，其中物理参数急剧连续变化。在本研究中，采用了相场LBM。在该模型中，不需要附加项，可以通过LBM正确地恢复Cahn-Hilliard方程。相场LBM可以很容易地解决界面的拓扑变化和大变形问题。相场模型面临的主要挑战是在可承受的计算负荷范围内接近尖锐的界面极限。一种自然的解决方案是用自适应网格细化技术补充相场模型。事实上，对于Navier-Stokes解算器，已经投入了大量的努力来缓解这个问题。然而，在LBM领域，文献中很少能找到这样的作品。本文首次尝试将模板自适应技术应用到相场LBM中。该方法可以实现高分辨率的界面，并节省大量网格点。此外，由于所使用的两种模板的对称结构，该自适应相场LBM摆脱了复杂的时空插值和碰撞项的修改。首先，通过对静止气泡的仿真验证了该方法的准确性、高效性和收敛性。此外，它还能够探测几种类型的界面动力学，包括气泡流动和接触线问题。版权所有©2012 John Wiley & Sons， Ltd。
This paper presents a stencil adaptive phase‐field lattice Boltzmann method (LBM) for the simulation of two‐dimensional multiphase flows. In the phase‐field model, the interface is viewed as a layer with finite thickness where physical parameters vary steeply and continuously. In the present study, a phase‐field LBM is used. In this model, the Cahn–Hilliard equation can be correctly recovered by LBM without additional terms. The phase‐field LBM can easily resolve topology change and large deformation of an interface. The major challenge faced by the phase‐field model is to approach sharp interface limit within affordable computational loads. A natural solution is to supplement the phase‐field model with the adaptive mesh refinement technique. In fact, much effort has been devoted to alleviate this issue with regards to Navier–Stokes solvers. However, in the realm of LBM, few works can be found in the literature. The present work is the first endeavour to incorporate the stencil adaptive technique into the phase‐field LBM. The proposed method enables high resolution of interface with considerable savings in grid points. In addition, owing to the symmetric structure of two stencils used, the present adaptive phase‐field LBM is freed from complicated spatial and temporal interpolation and modification of the collision term. First, the accuracy, efficiency and convergence of this method are testified through the simulation of a stationary bubble. Furthermore, its ability to probe several types of interfacial dynamics including bubbly flows and contact line problems has also been demonstrated. Copyright © 2012 John Wiley & Sons, Ltd.