A spectral boundary integral method for simulating electrohydrodynamic flows in viscous drops
A spectral boundary integral method for simulating electrohydrodynamic flows in viscous drops
复制标题
模拟粘性液滴电流体动力学流动的谱边界积分方法
DOI：
10.1016/j.jcp.2023.112248
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发表时间：
2023
影响因子：
4.1
通讯作者：
Saintillan, David
中科院分区：
文献类型：
--
作者：
Firouznia, Mohammadhossein;Bryngelson, Spencer H.;Saintillan, David
一个弱导电液滴浸入另一个漏电介质液体中，在外加电场的作用下可以表现出丰富的动力学行为。根据材料性质和场强，界面电荷传输和流体流动的非线性耦合可以触发导致形状变形和复杂动力学的电流体动力学不稳定性。提出了一种模拟均匀电场中液滴电流体动力学的谱边界积分方法。所有的物理变量，如液滴形状和界面电荷密度，表示使用球谐展开。除了它的指数精度，频谱表示提供了一个非耗散的去混叠方法所需的数值稳定性。一个全面的电荷传输模型，在很宽的电场强度范围内有效，占电荷弛豫，欧姆传导，和表面电荷对流的流动。形状重新参数化技术，使显着的液滴变形制度的探索。对于低粘度液滴，由流动的对流驱动陡峭的界面电荷梯度附近的下降赤道。这引入了数值振铃伪影，我们通过加权球谐展开进行处理，从而导致解决方案收敛。对实验数据和分析预测的轴对称泰勒和昆克电旋转制度的方法和模拟进行了验证。
A weakly conducting liquid droplet immersed in another leaky dielectric liquid can exhibit rich dynamical behaviors under the effect of an applied electric field. Depending on material properties and field strength, the nonlinear coupling of interfacial charge transport and fluid flow can trigger electrohydrodynamic instabilities that lead to shape deformations and complex dynamics. We present a spectral boundary integral method to simulate droplet electrohydrodynamics in a uniform electric field. All physical variables, such as drop shape and interfacial charge density, are represented using spherical harmonic expansions. In addition to its exponential accuracy, the spectral representation affords a nondissipative dealiasing method required for numerical stability. A comprehensive charge transport model, valid under a wide range of electric field strengths, accounts for charge relaxation, Ohmic conduction, and surface charge convection by the flow. A shape reparametrization technique enables the exploration of significant droplet deformation regimes. For low-viscosity drops, the convection by the flow drives steep interfacial charge gradients near the drop equator. This introduces numerical ringing artifacts that we treat via a weighted spherical harmonic expansion, resulting in solution convergence. The method and simulations are validated against experimental data and analytical predictions in the axisymmetric Taylor and Quincke electrorotation regimes.
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影响因子：
3.7
作者：
Chiara Sorgentone;Petia M. Vlahovska
通讯作者：
Chiara Sorgentone;Petia M. Vlahovska
粘性剪切流中胶囊的流团稳定性分析
影响因子：
3.7
作者：
Spencer H. Bryngelson;J. Freund
通讯作者：
J. Freund
DOI：
10.1016/j.jcp.2006.03.021
发表时间：
2006-11
期刊：
J. Comput. Phys.
影响因子：
--
作者：
Lexing Ying;G. Biros;D. Zorin
通讯作者：
Lexing Ying;G. Biros;D. Zorin
影响因子：
2.7
作者：
Spencer H. Bryngelson;J. Freund
通讯作者：
Spencer H. Bryngelson;J. Freund
DOI：
10.1016/j.jcp.2019.03.041
发表时间：
2018-11
期刊：
J. Comput. Phys.
影响因子：
--
作者：
Chiara Sorgentone;A. Tornberg;Petia M. Vlahovska
通讯作者：
Chiara Sorgentone;A. Tornberg;Petia M. Vlahovska