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Article information
2012 , Volume 17, ¹ 6, p.64-73
Kurochkina E.P., Soboleva O.N.
The calculation of effective electro-physical parameters for a multiscale isotropic medium
The effective coefficients in the Maxwell's equations are calculated for a multiscale isotropic medium using a subgrid modeling approach. The correlated fields of conductivity and permeability are mathematically represented by the Kolmogorov multiplicative continuous cascade with a lognormal probability distribution. It is assumed that the wavelength is much greater than the maximum scale of the inhomogeneous medium. The theoretical results are compared with direct 3D numerical simulations.
[full text]
Keywords: Maxwells equations, effective coefficients, subgrid modeling, multiscale random media
Author(s):
Kurochkina Ekaterina Petrovna
PhD.
Position: Senior Research Scientist
Office: Institute of Thermophysics SB RAN
Address: 630090, Russia, Novosibirsk, pr. Lavrentieva, 1
Phone Office: (383)316 52 31
E-mail: kurochkina@itp.nsc.ru
Soboleva Olga Nikolaevna
Dr.
Position: Senior Research Scientist
Office: Institute of Computational Mathematics and Mathematical Geophysics, SB RAN
Address: 630090, Russia, Novosibirsk, pr. Lavrentieva, 1
Phone Office: (383)3306046
E-mail: olga@nmsf.sscc.ru
Bibliography link:
Kurochkina E.P., Soboleva O.N. The calculation of effective electro-physical parameters for a multiscale isotropic medium // Computational technologies. 2012. V. 17. ¹ 6. P. 64-73
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