A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking
A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking
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DOI：
10.1016/j.jcp.2003.12.009
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发表时间：
2004-07-01
影响因子：
4.1
通讯作者：
Scardovelli, R
中科院分区：
文献类型：
--
作者：
Aulisa, E;Manservisi, S;Scardovelli, R
在这项工作中，我们提出了一种新的界面跟踪算法的基础上，表面标记重建和平流层在三维空间中的界面。该算法被耦合到一个标记重新分布的方法，这是保持沿沿着接口的面积。该接口是由一组封闭的线，它定义了一个粗拉格朗日四边形网格在固定的计算网格。固定标记位于线交叉处，并在整个模拟过程中保持不变。在每一个时间步的界面首先重建，然后所有的标记平流以下流线。在重建步骤中，通过计算界面线与网格单元面的交点以及通过在固定标记和网格交点标记之间添加面积保持标记来确定新标记。在上一个时间步定义的交点和保留标记将被丢弃。该方法保持了一个光滑的几何描述的接口，为二维和三维测试与准确的体积守恒，即使在非常具有挑战性的情况下，流体体逐渐变形和拉伸发展的局部区域具有非常高的曲率和薄的流体细丝。该方法相比有利的前端捕获方法，如流体体积和水平集，和其他混合技术，如粒子水平集方法。(C)2004年爱思唯尔公司All rights reserved.
In this work we present a new interface tracking algorithm based on surface markers to reconstruct and advect interfaces in three-dimensional space. The algorithm is coupled to a marker redistribution method, which is area-preserving along the interface. The interface is described by a set of closed lines which define a coarse Lagrangian quadrangular mesh in the fixed computational grid. Fixed markers are located where the lines cross and are maintained during the whole simulation. At each time step the interface is first reconstructed and then all markers are advected by following streamlines. In the reconstruction step, new markers are determined by computing the intersections of the interface lines with the grid cell faces and by adding area conservation markers between fixed and grid intersection markers. Intersection and conservation markers defined at the previous time step are discarded. The method maintains a smooth geometrical description of the interface for both two-dimensional and three-dimensional tests with accurate volume conservation even in very challenging situations where the fluid bodies progressively deform and stretch developing localized regions with very high curvature and thin fluid filaments. The method compares favorably with front capturing methods, such as volume-of-fluid and level set, and other hybrid techniques, such as the particle level set method. (C) 2004 Elsevier Inc. All rights reserved.