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首页> 外文期刊>Journal of Computational Physics >An interface capturing method with a continuous function: The THINC method with multi-dimensional reconstruction
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An interface capturing method with a continuous function: The THINC method with multi-dimensional reconstruction

机译：具有连续功能的接口捕获方法：多维重构的THINC方法

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摘要

An interface capturing method with a continuous function is proposed within the framework of the volume-of-fluid (VOF) method. Being different from the traditional VOF methods that require a geometrical reconstruction and identify the interface by a discontinuous Heaviside function, the present method makes use of the hyperbolic tangent function (known as one of the sigmoid type functions) in the tangent of hyperbola interface capturing (THINC) method [F. Xiao, Y. Honma, K. Kono, A simple algebraic interface capturing scheme using hyperbolic tangent function, Int. J. Numer. Methods Fluids 48 (2005) 1023-1040] to retrieve the interface in an algebraic way from the volume-fraction data of multi-component materials. Instead of the 1D reconstruction in the original THINC method, a multi-dimensional hyperbolic tangent function is employed in the present new approach. The present scheme resolves moving interface with geometric faithfulness and compact thickness, and has at least the following advantages: (1) the geometric reconstruction is not required in constructing piecewise approximate functions; (2) besides a piecewise linear interface, curved (quadratic) surface can be easily constructed as well; and (3) the continuous multi-dimensional hyperbolic tangent function allows the direct calculations of derivatives and normal vectors. Numerical benchmark tests including transport of moving interface and incompressible interfacial flows are presented to validate the numerical accuracy for interface capturing and to show the capability for practical problems such as a stationary circular droplet, a drop oscillation, a shear-induced drop deformation and a rising bubble.
机译：在流体体积（VOF）方法的框架内，提出了一种具有连续功能的接口捕获方法。与需要几何重构并通过不连续的Heaviside函数识别界面的传统VOF方法不同，本方法在双曲线界面捕获的切线中使用了双曲线正切函数（称为S型函数之一）（ THINC）方法[F. Xiao，Y。Honma，K。Kono，使用双曲正切函数Int。的简单代数界面捕获方案。 J.纽默方法[流体48（2005）1023-1040]以代数方式从多组分材料的体积分数数据中检索界面。代替原始THINC方法中的一维重建，在本新方法中采用了多维双曲正切函数。该方案解决了具有几何忠实度和紧凑厚度的运动界面，并且至少具有以下优点：（1）在构造分段近似函数时不需要几何重构; （2）除了分段线性界面外，弯曲（二次）表面也很容易构造; （3）连续的多维双曲正切函数可以直接计算导数和法向矢量。提出了包括移动界面和不可压缩界面流传输在内的数值基准测试，以验证界面捕获的数值准确性，并展示针对实际问题的能力，例如固定的圆形液滴，液滴振荡，剪切引起的液滴变形和上升泡沫。

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