Research objectives and content
There are several objectives of the project, the most important being (a) to develop numerical algorithms to attack the scale resolution problem in time-domain algorithms and (b) to develop efficient absorbing boundary conditions to limit the computation volume.
In (a), the presence of different geometrical scales is considered as a several limitation to the use of traditional time-domain algorithms, since in general the smallest detail more or less determine the grid parameter used. In 3D-problems, the computational task increases easily beyond today's limits. To overcome this, sub-cellular methods have been developed in open literature. They work, however, only in specialized conditions. To develope more robust methods, ideas based on energy conservation principles are considered. Suitability of conformal and overlapping grids used in e.g. computational fluid dynamics is to be investigated. Direct discretization of Poynting theorem is considered to implement finite-volume algorithms.
In (b), the recent advances in absorbing boundaries are to be extended to nonlinear, lossy and dispersive media.
Training content (objective, benefit and expected impact)
The expected training impact is very high, because my current Ph.D. instructor moved away from our laboratory. I consider the synergy benefit of the proposal considerable, because the host has long experience in similar research projects.
Links with industry / industrial relevance (22)