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CivilComp Proceedings
ISSN 17593433 CCP: 86
PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: B.H.V. Topping
Paper 59
A Parallel ExplicitImplicit Overlapping Mesh Method for Solving ThreeDimensional Electromagnetic Wave Propagation Problems K. Morgan, Z.Q. Xie, O. Hassan and N.P. Weatherill
Civil and Computational Engineering Centre, University of Wales, Swansea, United Kingdom K. Morgan, Z.Q. Xie, O. Hassan, N.P. Weatherill, "A Parallel ExplicitImplicit Overlapping Mesh Method for Solving ThreeDimensional Electromagnetic Wave Propagation Problems", in B.H.V. Topping, (Editor), "Proceedings of the Eleventh International Conference on Civil, Structural and Environmental Engineering Computing", CivilComp Press, Stirlingshire, UK, Paper 59, 2007. doi:10.4203/ccp.86.59
Keywords: electromagnetic wave scattering, Maxwell's curl equations, hybrid algorithm, time domain, explicitimplicit.
Summary
There are a number of practical problems, involving complex
geometries and materials, that require the numerical solution of
Maxwell's equations. In this paper, we concentrate on one selected
application area, which is the simulation of scattering of plane
electromagnetic waves by a perfectly conducting obstacle. We develop
a hybrid solution procedure, which couples a modification of a
finite element time domain approach [1], used on an
unstructured grid in the vicinity of the scatterer, with the
explicit finite difference time domain method [2], used for
the remainder of free space on a Cartesian grid. This approach
requires the solution of the hybrid mesh generation problem and
needs to account for intermesh transfer of information. The far
field boundary condition is imposed by the addition of an artificial
perfectly matched layer, located at a finite distance from the
obstacle. Automatically generated unstructured meshes can contain a
number of small elements, because of the constraints that may be
imposed due to the complexity of the geometry. With an explicit
solution scheme, the appearance of these elements results in a
severe limitation on the size of the allowable time step and a
corresponding significant rise in the CPU time. We will demonstrate
how this effect may be alleviated, and computational efficiency
maintained, by adopting an implicitexplicit implementation on the
unstructured portion of the mesh. The complete simulation process is
parallelised to enable the solution of large scale problems. The
results obtained for the simulation of a problem of scattering by a
perfectly conducting conesphere configuration are described and the
computational performance that can be achieved is demonstrated.
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