Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6929294 | Journal of Computational Physics | 2018 | 82 Pages |
Abstract
Second, third and fourth order accurate schemes for numerically solving Maxwell's equations in material media are presented in this paper. Several stringent tests are also presented to show that the method works and meets its design goals even when material permittivity and permeability vary by an order of magnitude over just a few zones. Furthermore, since the method is unconditionally stable and sub-cell-resolving in the presence of stiff source terms (i.e. for problems involving giant variations in conductivity over just a few zones), it can accurately handle such problems without any reduction in timestep. We also show that increasing the order of accuracy offers distinct advantages for resolving sub-cell variations in material properties. Most importantly, we show that when the accuracy requirements are stringent the higher order schemes offer the shortest time to solution. This makes a compelling case for the use of higher order, sub-cell resolving schemes in CED.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Dinshaw S. Balsara, Sudip Garain, Allen Taflove, Gino Montecinos,