Efficient Krylov‐based 3D FVTD schemes with adaptive domain decomposition for graphene and nanostructured EMC components

Abstract

The rigorous design of arbitrarily shaped graphene and nanocomposite structures in realistic electromagnetic compatibility applications is presented in this paper by means of a combined finite-volume time-domain methodology. The new 3D formulation proposes a set of adjustable-order derivative approximators in general curvilinear coordinates and an adaptive domain decomposition to attain effective field flux representations of electromagnetic fields in areas with subwavelength attributes or infinitesimally thin wiring. Also, a fully passive reduced order macromodelling scheme, based on the Krylov truncation, is developed for the significant decrease of the state-space transfer matrix order, particularly when finite graphene sheets are to be analyzed. A key asset is that the necessary basis for the Krylov space is retrieved from a framework of weighted Laguerre functions, which do not require laborious orthogonalizations. Hence, highly accurate and economical discretizations with minimized dispersion errors are obtained. Numerical outcomes, addressing elaborate comparisons with reference data, from various nanostructured electromagnetic compatibility arrangements, certify the benefits of the featured technique, accelerated via graphics processing units and unveil its applicability.

Special issue: The 10th International Symposium on Electric and Magnetic Fields (EMF 2016)

“…The second major topic treats the numerical modelling of the electromagnetic behavior of electric and magnetic materials, with contributions on the modelling of magnetoelectric multilayer laminate composites, the magneto‐elastic behavior of steel sheets, the effect of mechanical stresses on Graphene‐based devices, and the effect of temperature on static magnetic hysteresis . The third major topic concerns fast solvers for electromagnetic applications with contributions on ultra weak variational formulations and the behavior of natural and finite element interpolation functions, domain decomposition methods for finite volume, finite element and boundary element schemes,() explicit time integration of eddy current problems, and the GPU acceleration of Maxwell solvers for differents applications. () The fourth major topic concerns the application of electromagnetic modelling, uncertainty quantification and model order reduction techniques to novel or challenging applications, with contributions to electrothermal field problems, electric machine modelling,() lightning‐produced electromagnetic fields, electronic circuits, and electrical capacitance tomography sensors …”