Numerical Determination of Potential Distributions and Current Densities in Multi-Electrode Systems

Abstract

Abstract Two numerical solution methods of the Laplacian equations, within boundary conditions set by the geometries and electrode reactions of arbitrary cells, are presented. One method is based on the location of current sources on suitable locations in and around the cell. The strength of these sources is a variable. With the solution of the equations of the potential gradients at the boundaries, the strength of the sources is determined, and herewith potentials and current densities. In the second method, the potential distribution is determined by solution of the equations obtained with a finite element discretisation of the cell. Compatibility with the potential dependant boundary conditions at the electrode surfaces is reached, for both methods, with an iteration procedure. Both methods are used for the solution of a problem for which an analytical solution is available. Some conclusions regarding their applicability are drawn, and an example of the use of this method on the problem of the galvanic corrosion for a ship/propeller/sea water system is given.