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A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids

机译:非结构化流动求解器网格上两相流的平衡力细化水平集网格方法

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A balanced force refined level set grid method for two-phase flows on structured and unstructured flow solver grids is presented. To accurately track the phase interface location, an auxiliary, high-resolution equidistant Cartesian grid is introduced. In conjunction with a dual-layer narrow band approach, this refined level set grid method allows for parallel, efficient grid convergence and error estimation studies of the interface tracking method. The Navier-Stokes equations are solved on an unstructured flow solver grid with a novel balanced force algorithm for level set methods based on the recently proposed method by Francois et al. [M.M. Francois, SJ. Cummins, E.D. Dendy, D.B. Kothe, J.M. Sicilian, M.W. Williams, A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework, J. Comput. Phys. 213 (2006) 141-173] for volume of fluid methods on structured grids. To minimize spurious currents, a second order converging curvature evaluation technique for level set methods is presented. The results of several different test cases demonstrate the effectiveness of the proposed method, showing good mass conservation properties and second order converging spurious current magnitudes. (c) 2007 Elsevier Inc. All rights reserved.
机译:提出了一种结构化和非结构化流动求解器网格上两相流的平衡力细化水平集网格方法。为了准确地跟踪相界面的位置,引入了辅助的高分辨率等距笛卡尔网格。结合双层窄带方法,这种改进的水平集网格方法可以对接口跟踪方法进行并行,有效的网格收敛和误差估计研究。 Navier-Stokes方程是在非结构化流动求解器网格上,基于Francois等人最近提出的方法,使用一种新的平衡力算法对水平集方法进行求解的。 [M.M.弗朗索瓦(SJ。康明斯(E.D.)邓迪Kothe,J.M。Sicilian,M.W。Williams,《体积跟踪框架内连续且尖锐的界面表面张力模型的平衡力算法》,J。Comput。物理213(2006)141-173]。为了最小化杂散电流,提出了一种用于水平集方法的二阶收敛曲率评估技术。几个不同测试案例的结果证明了该方法的有效性,显示出良好的质量守恒特性和二阶收敛的杂散电流幅度。 (c)2007 Elsevier Inc.保留所有权利。

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