Abstract
A generalized three dimensional computational model based on uni ed formulation of electrode-
electrolyte-electrode system of a electric double layer supercapacitor has been developed. The model accounts for charge transport across the solid-liquid system. This formulation based on volume
averaging process is a widely used concept for the multiphase
ow equations ([28] [36]) and is analogous to porous media theory typically employed for electrochemical systems [22] [39] [12]. This
formulation is extended to the electrochemical equations for a supercapacitor in a consistent fashion,
which allows for a single-domain approach with no need for explicit interfacial boundary conditions
as previously employed ([38]). In this model it is easy to introduce the spatio-temporal variations,
anisotropies of physical properties and it is also conducive for introducing any upscaled parameters
from lower length{scale simulations and experiments. Due to the irregular geometric con gurations
including porous electrode, the charge transport and subsequent performance characteristics of the
super-capacitor can be easily captured in higher dimensions. A generalized model of this nature
also provides insight into the applicability of 1D models ([38]) and where multidimensional e ects
need to be considered. In addition, simple sensitivity analysis on key input parameters is performed
in order to ascertain the dependence of the charge and discharge processes on these parameters. Finally, we demonstarted how this new formulation can be applied to non-planar supercapacitors
