应用广义水平集沉浸式界面法

IF 2.5 3区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Fluids Pub Date : 2024-08-23 DOI:10.1016/j.compfluid.2024.106409

Jian-Jun Xu , Zhilin Li

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引用次数: 0

摘要

针对椭圆界面问题的基于水平集的沉浸界面法（IIM）得到了推广，以适应与边界相交的界面。推导出了考虑跳跃条件和 Neumann/periodic 边界条件的有限差分方案。该方案易于实施。数值结果表明，广义 IIM 在求解和梯度方面都达到了二阶精度。该方法与连续面方法相结合，用于模拟具有移动接触线的电流体力学。模拟显示了液滴的丰富行为。研究了电场的影响。虽然该方法是在二维环境中提出的，但它可以直接扩展到三维环境。

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A generalized level-set immersed interface method with application

The level-set based immersed interface method (IIM) for the elliptic interface problem is generalized to accommodate the interface intersecting the boundary. Finite difference schemes accounting for the jump conditions together with Neumann/periodic boundary condition are derived. It is easy for implementation. Numerical evidence indicates that the generalized IIM achieves the second-order accuracy in both solution and gradient. The method is coupled with a continuum surface method for simulating electrohydrodynamics with moving contact lines. Simulations demonstrate rich behaviors of the droplet. The effect of the electric field is studied. Although the method is presented in 2D, its extension to 3D is straight forward.

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来源期刊

Computers & Fluids 物理-计算机：跨学科应用

CiteScore

5.30

自引率

7.10%

发文量

242

审稿时长

10.8 months

期刊介绍： Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.