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首页> 外文期刊>Journal of Computational Physics >A charge-conservative approach for simulating electrohydrodynamic two-phase flows using volume-of-fluid
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A charge-conservative approach for simulating electrohydrodynamic two-phase flows using volume-of-fluid

机译：一种使用流体体积模拟电液动力学两相流的电荷守恒方法

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摘要

In the present study we propose a charge-conservative scheme to solve two-phase electrohydrodynamic (EHD) problems using the volume-of-fluid (VOF) method. EHD problems are usually simplified by assuming that the fluids involved are purely dielectric (insulators) or purely conducting. Gases can be considered as perfect insulators but pure dielectric liquids do not exist in nature and insulating liquids have to be approximated using the " Taylor-Melcher leaky dielectric model" [1,2] in which a leakage of charge through the liquid due to ohmic conduction is allowed. It is also a customary assumption to neglect the convection of charge against the ohmic conduction. The scheme proposed in this article can deal with any EHD problem since it does not rely on any of the above simplifications. An unrestricted EHD solver requires not only to incorporate electric forces in the Navier-Stokes equations, but also to consider the charge migration due to both conduction and convection in the electric charge conservation equation [3]. The conducting or insulating nature of the fluids arise on their own as a result of their electric and fluid mechanical properties. The EHD solver has been built as an extension to Gerris, a free software solver for the solution of incompressible fluid motion using an adaptive VOF method on octree meshes developed by Popinet [4,5].
机译：在本研究中，我们提出了一种电荷守恒方案，以使用流体体积（VOF）方法解决两相电液动力学（EHD）问题。通常通过假设所涉及的流体是纯电介质（绝缘体）或纯导电性来简化EHD问题。气体可以被认为是理想的绝缘体，但自然界中不存在纯介电液体，绝缘液体必须使用“泰勒-梅尔切漏电模型” [1,2]近似，其中电荷由于欧姆而通过液体泄漏允许传导。忽略电荷对流对欧姆传导的惯常假设也是。本文提出的方案可以解决任何EHD问题，因为它不依赖于上述任何简化方法。一个无限制的EHD求解器不仅需要在Navier-Stokes方程中加入电场力，而且还需要在电荷守恒方程中考虑由于传导和对流引起的电荷迁移[3]。流体的导电或绝缘性质是由于其电气和流体机械性能而产生的。 EHD解算器是Gerris的扩展，Gerris是由Popinet开发的八叉树网格上的自适​​应VOF方法，使用自适应VOF方法求解不可压缩流体运动的自由软件解算器[4,5]。

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