A computational method for sharp interface advection.

A computational method for sharp interface advection.
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DOI:
10.1098/rsos.160405
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发表时间:
2016-11
影响因子:
3.5
通讯作者:
Jasak H
Jasak H
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Roenby J;Bredmose H;Jasak H

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我们设计了一种表面被动平流的数值方法,例如两个不可压缩流体之间的界面,穿过计算网格。该方法称为等向量法,适用于由任意多面体单元组成的一般网格。该算法基于流体体积(VOF)的思想,即计算在时间步长期间通过网格面传输的其中一个流体的体积。等向量概念的新颖性由两部分组成。首先,在几何表面重建步骤中,我们利用等值面的概念来模拟细胞内部的界面。其次,从重建的曲面出发,对一般多边形人脸的面界面相贯线的运动进行建模,得到被淹没的人脸区域在时间步长内的时间演化。在时间步长上对这一淹没区域进行积分,可以准确估计整个面部的液体运输量。在结构网格和非结构网格上对简单的二维和三维界面平流问题进行了试验。结果在体积守恒、有界性、表面锐度和效率方面都是非常令人满意的。IsAdVECTOR方法作为OpenFOAM®扩展实现,并作为开放源代码发布。
We devise a numerical method for passive advection of a surface, such as the interface between two incompressible fluids, across a computational mesh. The method is called isoAdvector, and is developed for general meshes consisting of arbitrary polyhedral cells. The algorithm is based on the volume of fluid (VOF) idea of calculating the volume of one of the fluids transported across the mesh faces during a time step. The novelty of the isoAdvector concept consists of two parts. First, we exploit an isosurface concept for modelling the interface inside cells in a geometric surface reconstruction step. Second, from the reconstructed surface, we model the motion of the face–interface intersection line for a general polygonal face to obtain the time evolution within a time step of the submerged face area. Integrating this submerged area over the time step leads to an accurate estimate for the total volume of fluid transported across the face. The method was tested on simple two-dimensional and three-dimensional interface advection problems on both structured and unstructured meshes. The results are very satisfactory in terms of volume conservation, boundedness, surface sharpness and efficiency. The isoAdvector method was implemented as an OpenFOAM® extension and is published as open source.
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