A simple algebraic interface capturing scheme using hyperbolic tangent function
A simple algebraic interface capturing scheme using hyperbolic tangent function
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DOI：
10.1002/fld.975
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发表时间：
2005-07
影响因子：
1.8
通讯作者：
F. Xiao;Y. Honma;T. Kono
中科院分区：
文献类型：
--
作者：
F. Xiao;Y. Honma;T. Kono
本文提出了一种简单实用的多流体模拟中运动界面或自由边界的捕捉方案。该格式称为THINC格式，它利用双曲正切函数来计算流体分数函数的数值通量，即使对于任意复杂的极其扭曲的界面，也给出了流体分数函数的保守、无振荡和无拖尾的解。THINC格式的数值结果具有足够的实际应用质量，这使得大多数流体体积(VOF)方法中的额外几何重建变得不必要。因此，该方案相当简单。数值试验表明，THINC格式与现有的大多数方法相比具有相当的精度。版权所有©2005 John Wiley&Sons，Ltd.
This paper presents a simple and practical scheme for capturing moving interfaces or free boundaries in multi‐fluid simulations. The scheme, which is called THINC (tangent of hyperbola for interface capturing), makes use of the hyperbolic tangent function to compute the numerical flux for the fluid fraction function, and gives a conservative, oscillation‐less and smearing‐less solution to the fluid fraction function even for the extremely distorted interfaces of arbitrary complexity. The numerical results from the THINC scheme possess adequate quality for practical applications, which make the extra geometric reconstruction, such as those in most of the volume of fluid (VOF) methods unnecessary. Thus the scheme is quite simple. The numerical tests show that the THINC scheme has competitive accuracy compared to most exiting methods. Copyright © 2005 John Wiley & Sons, Ltd.