A comparative study of two computational methods for the simulation of discharge development in SF₆

Species conservation equations for SF 6 + , SF 6 - , and electrons have been solved by the method of MacCormack with a Shuman filter and by the flux corrected transport (FCT) method. A detailed comparison of numerical results with analytical solutions to species conservation equations shows that in order to achieve the same accuracy the grid size required by both methods is the same. Compared with the FCT method, the algorithms of MacCormack's method with Shuman filter are the simpler and computational costs are lower.