Treurniet, J.; Simons, N. R. S.; Bridges, G. E.; Cuhaci, M. Evaluation of dissipation within an ILGA for computational electromagnetics. (English) Zbl 1041.78007 Int. J. Numer. Model. 17, No. 1, 1-15 (2004). Summary: 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. Cited in 1 Document MSC: 78M25 Numerical methods in optics (MSC2010) 78A45 Diffraction, scattering Keywords:integer lattice gas; automata method; transmission; line matrix method; streaming operations; dispersion relation; dissipation PDFBibTeX XMLCite \textit{J. Treurniet} et al., Int. J. Numer. Model. 17, No. 1, 1--15 (2004; Zbl 1041.78007) Full Text: DOI