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Evaluation of dissipation within an ILGA for computational electromagnetics
Author(s) -
Treurniet J.,
Simons N. R. S.,
Bridges G. E.,
Cuhaci M.
Publication year - 2004
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.519
Subject(s) - dissipation , dispersion relation , massively parallel , isotropy , computer science , computer simulation , computational science , mathematics , statistical physics , physics , computational physics , parallel computing , simulation , optics , quantum mechanics
Integer lattice gas automata (ILGA) are a method capable of electromagnetic field simulation that are suited to implementation on massively parallel computing architectures. The algorithm exhibits dispersion and dissipation and the purpose of this paper is to quantify the dissipation. A proposed model for the algorithm is based on a linear combination of transmission line matrix scattering and streaming operations. The dispersion relation for this model is derived and a numerical search of the dispersion relation is performed to quantify the dissipation of the model. Both the derived mathematical model and the results of numerical simulation indicate the dissipation observed fits the general form of viscosity. The isotropy of both square and hexagonal lattices are investigated. Copyright © 2004 Crown in the right of Canada. Published by John Wiley & Sons, Ltd.