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Title: Time domain methods for the solution of Maxwell's equations on unstructured grids
Author: Brookes, P. J.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 2000
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Designers of aerospace vehicle have recently highlighted computational simulations of electromagnetic systems as a key phase of the design process. Problems of interest involve the simulation of electromagnetic waves, over a wide frequency range, interacting with complex geometries of varying electrical length. This thesis represents the investigation and development of efficient numerical techniques for the simulation of time dependent electromagnetic phenomena. Unstructured grid based algorithms, which have already been successfully employed in the simulation of steady inviscid fluid flows, are applied to the solution of Maxwell's linear curl equations. Finite element time domain solution procedures employing element and edge based data structures are investigated and developed, with a view to extending the range of wave frequencies involved in scattering problems. A two-step Taylor-Galerkin procedure is modified to incorporate a capability to model the wave scattering effects of thin wires. In addition, a hybridisation of the Yee finite difference time domain algorithm and a finite volume time domain procedure is shown to alleviate the restriction of employing Cartesian grids to approximate complex geometries, whilst maintaining an attractively low operation court. Current high performance computing resources are exploited through an efficient parallel implementation of an existing edge based solution algorithm. The extended solution capabilities are demonstrated by the simulation of the scattering effects of a complete aircraft.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available