Using graphics processors to facilitate explicit digital electrochemical simulation: Theory of elliptical disc electrodes

Dual-microdisk electrodes in transient generator–collector mode: Experiment and theory

“…The work presented in this paper expands on that done by Qiu et al [24] by altering the diffusion coefficient ratio (shown to be very significant in the experimental system shown below), and providing general expressions for the transient collection efficiency at such a system of equal diffusion coefficients, using the simplistic yet computationally intensive explicit finite difference method, which has been successfully applied to elliptical electrodes [14] and finite band electrodes [61] by way of relatively novel computer hardware utilisation in the form of a graphics processor. The results are compared to the transient time of flight experiments made using the RuðNH 3 Þ 2þ=3þ 6 system, and the relative diffusion coefficients of RuðNH 3 Þ 2þ 6 and RuðNH 3 Þ 3þ 6 compared.…”

“…The finite difference system used in this work is similar to that found in Refs. [14,61] which have been used previously to great effect. Parameters are noted in Table 1 and dimensionless parameter transforms are noted in Table 2.…”

“…(5), utilising expanding mesh Table 3, and computational GPU methods as described in Ref. [14]. Boundary conditions of the system for the potential step are provided in Table 4.…”

“…The simulation space mesh is similar to that used in [14], whereby the mesh is regular in the X-Y plane over the curved electrode surface in order to focus mesh points on the edges of the electrode. For all other parts of the simulation space, the mesh uses the expanding mesh principles introduced by Gavaghan [60].…”

“…Arrays of microdisk electrodes have been studied in great detail [11][12][13], including partially blocked arrays and malformed microdisks exhibiting elliptical geometries [14]. The use of single electrodes, both micro-and macro-, are employed in the study of electrode processes and reaction mechanisms, as well as analytically and for the measurement of diffusion coefficients.…”