An efficient and accurate algebraic interface capturing method for unstructured grids in 2 and 3 dimensions: The THINC method with quadratic surface representation
An efficient and accurate algebraic interface capturing method for unstructured grids in 2 and 3 dimensions: The THINC method with quadratic surface representation
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DOI：
10.1002/fld.3968
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发表时间：
2014-12-30
影响因子：
1.8
通讯作者：
Xiao, F.
中科院分区：
文献类型：
--
作者：
Xie, B.;Ii, S.;Xiao, F.
本文提出了一种高效、精确的流体体积(VOF)格式，用于计算任意四边形网格单元和三维六面体单元的非结构网格上的运动界面。作为作者在笛卡尔网格中提出的双曲线界面捕捉(THINC)重建的多维切线重建方法的推广，设计了一种适用于任意四边形和六面体单元的代数VOF格式。界面用二次曲面单元逼近，大大提高了数值精度。与其他THINC型格式一样，本方法在计算数值通量时不需要界面的显式几何表示，因此计算效率很高，实现起来也很简单。通过基准试验验证了该方法的有效性，结果表明，该方法能够得到高质量的非结构网格运动界面数值解，是一种实用的界面多相流数值模拟方法。版权所有(C)2014 John Wiley&Sons，Ltd.
We present in this paper an efficient and accurate volume of fluid (VOF) type scheme to compute moving interfaces on unstructured grids with arbitrary quadrilateral mesh elements in 2D and hexahedral elements in 3D. Being an extension of the multi-dimensional tangent of hyperbola interface capturing (THINC) reconstruction proposed by the authors in Cartesian grid, an algebraic VOF scheme is devised for arbitrary quadrilateral and hexahedral elements. The interface is cell-wisely approximated by a quadratic surface, which substantially improves the numerical accuracy. The same as the other THINC type schemes, the present method does not require the explicit geometric representation of the interface when computing numerical fluxes and thus is very computationally efficient and straightforward in implementation. The proposed scheme has been verified by benchmark tests, which reveal that this scheme is able to produce high-quality numerical solutions of moving interfaces in unstructured grids and thus a practical method for interfacial multi-phase flow simulations. Copyright (c) 2014 John Wiley & Sons, Ltd.