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Numerical modeling of floating potentials in electrokinetic problems using an asymptotic method
IEEE Transactions on Magnetics ( IF 2.1 ) Pub Date : 2020-04-01 , DOI: 10.1109/tmag.2019.2951942 D. Voyer , S. Corridore , A. Collin , R. Scorretti , C. Poignard
IEEE Transactions on Magnetics ( IF 2.1 ) Pub Date : 2020-04-01 , DOI: 10.1109/tmag.2019.2951942 D. Voyer , S. Corridore , A. Collin , R. Scorretti , C. Poignard
Floating potentials appear in electrokinetic problems when isolated high-conductive materials are included in a dielectric or weakly conductive ambient medium. The large contrast of conductivities generates numerical issues that make hard the computation of the electric potential. This article proposes a rigorous numerical method to tackle this kind of problem. Interestingly, a correction to the case of a perfect conductor is given in order to improve the accuracy of the computation. The method involves a cascade of two elementary problems set, respectively, in the ambient medium and in the high-conductive inclusions. An example is proposed with a 4-electrode system designed to both induce electroporation in a biological tissue sample and measure the resulting impedance. The approach is extended to a nonlinear problem by taking advantage of the iterative scheme that is necessarily applied in this case.
中文翻译:
使用渐近方法对电动问题中的浮动电位进行数值模拟
当隔离的高导电材料包含在电介质或弱导电环境介质中时,电动问题中会出现浮动电位。电导率的大反差会产生数值问题,使电势的计算变得困难。本文提出了一种严格的数值方法来解决此类问题。有趣的是,为了提高计算的准确性,给出了对完美导体情况的修正。该方法涉及分别在环境介质和高导电夹杂物中设置的两个基本问题的级联。提出了一个例子,该系统设计为在生物组织样本中诱导电穿孔并测量产生的阻抗的 4 电极系统。
更新日期:2020-04-01
中文翻译:
使用渐近方法对电动问题中的浮动电位进行数值模拟
当隔离的高导电材料包含在电介质或弱导电环境介质中时,电动问题中会出现浮动电位。电导率的大反差会产生数值问题,使电势的计算变得困难。本文提出了一种严格的数值方法来解决此类问题。有趣的是,为了提高计算的准确性,给出了对完美导体情况的修正。该方法涉及分别在环境介质和高导电夹杂物中设置的两个基本问题的级联。提出了一个例子,该系统设计为在生物组织样本中诱导电穿孔并测量产生的阻抗的 4 电极系统。