Utility of super-time-stepping for electroanalytical digital simulations by explicit finite difference methods. Part 2: Spatially two- and three-dimensional models
| Autor: | L.K. Bieniasz, D. Barnaś |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Partial differential equation
Chemistry General Chemical Engineering Mathematical analysis Charge (physics) 02 engineering and technology Chronoamperometry 010402 general chemistry 021001 nanoscience & nanotechnology 01 natural sciences 0104 chemical sciences Analytical Chemistry Electrochemistry Explicit finite difference Rectangle Diffusion (business) Cyclic voltammetry 0210 nano-technology Focus (optics) |
| Zdroj: | Journal of Electroanalytical Chemistry. 838:204-211 |
| ISSN: | 1572-6657 |
| DOI: | 10.1016/j.jelechem.2019.02.054 |
| Popis: | The utility of super-time-stepping is examined, for digital simulations of selected electroanalytical experiments described by diffusion or reaction-diffusion partial differential equations in two- and three-dimensional space geometry. The tests focus on example models of chronoamperometry and cyclic voltammetry at inlaid band, disk and rectangle electrodes, assuming a single charge transfer or an EC′ catalytic mechanism. The combination of the super-time-stepping with the classic explicit finite difference method is found to be distinctly more efficient (with speedups as large as 7) than the explicit method itself. Speedups obtained are also several times greater than in the case of one-dimensional simulations considered in Part 1. The method can be recommended for explicit two- and three-dimensional simulations, especially in conjunction with parallel implementations. |
| Databáze: | OpenAIRE |
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