The use of floating bipolar electrodes in copper electro-winning cells represents an emerging technology that promises economic and operational impacts. This article presents a computational tool designed for the simulation and analysis of these electrochemical systems. Based on the generalization and optimization of an existing 2D finite difference model for calculating electrical variables in rectangular cells, a new 3D model capable of processing complex geometries, not necessarily rectangular, has been developed. At the same time, a new analytical method for estimating potentials in floating electrodes is introduced, overcoming the inaccuracies of previous heuristic approaches. The analysis of the results is supported by an interactive visualization technique of three-dimensional vector fields as flow lines.

翻译：在铜电解槽中使用浮动双极电极是一项新兴技术，具有显著的经济和操作效益。本文提出了一种专门用于模拟和分析此类电化学系统的计算工具。该工具基于对现有二维有限差分模型的推广与优化——该模型原用于计算矩形电解槽中的电变量——现已发展出能够处理复杂几何结构（不限于矩形）的新型三维模型。同时，文中引入了一种估算浮动电极电位的新解析方法，克服了以往启发式方法的不精确性。研究结果的分析通过三维矢量场流线的交互式可视化技术实现。