Abstract

Heat and mass transfers’ equations of hydrocarbon liquid droplet are solved numerically by using a semi-implicit method based on the finite volume scheme (VOF). The Piece-wise Linear Interface Calculation (PLIC) is used in our modeling. A curvature estimation technique based on PLIC-VOF method is developed. The determination of the normal vector based on the calculation of the curvature is presented. Then, our numerical calculation is performed for hydrocarbon droplets by realizing several static and dynamic tests. These tests are compared to other techniques. Good agreement between the results of our method and the ones of the other techniques is observed. The deformation of the liquid droplet interface, the ascension of the liquid droplet and the liquid droplet surface regression are observed by taking into consideration the effect of the surface tension force and the drag force. Finally, instead of using smoothed color function, our curvature estimation hugely decreases the spurious current and reconstructs smoothed shape.

中文翻译：

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平流的PLIC-VOF方法中的估计曲率

摘要

利用基于有限体积法（VOF）的半隐式方法，数值求解了烃液滴的传热和传质方程。分段线性接口计算（PLIC）用于我们的建模。基于PLIC-VOF的曲率估计技术方法被开发出来。提出了基于曲率计算的法向矢量的确定。然后，通过实现几个静态和动态测试，对烃滴进行数值计算。这些测试与其他技术进行了比较。观察到我们的方法的结果与其他技术的结果之间的良好一致性。通过考虑表面张力和拖曳力的影响，观察到液滴界面的变形，液滴的上升和液滴表面的退化。最后，我们的曲率估计不是使用平滑的颜色函数，而是极大地减少了杂散电流并重建了平滑的形状。