Calculation of the Electric Field in a Heterogeneous Dielectric with a Cellular Structure Using the Finite Element Method

The application of the finite element method for calculating the distribution of an electric field is examined using the example of an ozone generator, which includes a cellular dielectric block. In the channels of this block, two groups of electrodes are embedded in a checkerboard pattern and connected to a high-voltage power supply. It is shown that, for the channels not belonging to the surface layer, the distribution of the electric field intensity has a two-axis symmetry. Furthermore, for all channels, the profile of the electric field intensity curve along the line connecting the nearest points of the high-voltage and grounded electrodes of two adjacent channels is symmetric with respect to the midpoint of this line. These patterns are of interest for optimizing the design of the ozone generator and studying the development of barrier discharge within it.