Physics – Computational Physics
Scientific paper
2011-06-09
Physics
Computational Physics
28 pages, 11 figures, submitted to J. Comput. Phys
Scientific paper
An integral equation based scheme is presented for the fast and accurate computation of effective conductivities of two-component checkerboard-like composites with complicated unit cells at very high contrast ratios. The scheme extends recent work on multi-component checkerboards at medium contrast ratios. General improvement include the simplification of a long-range preconditioner, the use of a banded solver, and a more efficient placement of quadrature points. This, together with a reduction in the number of unknowns, allows for a substantial increase in achievable accuracy as well as in tractable system size. Results, accurate to at least nine digits, are obtained for random checkerboards with over a million squares in the unit cell at contrast ratio 10^6. Furthermore, the scheme is flexible enough to handle complex valued conductivities and, using a homotopy method, purely negative contrast ratios. Examples of the accurate computation of resonant spectra are given.
No associations
LandOfFree
The effective conductivity of arrays of squares: large random unit cells and extreme contrast ratios does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The effective conductivity of arrays of squares: large random unit cells and extreme contrast ratios, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The effective conductivity of arrays of squares: large random unit cells and extreme contrast ratios will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-580153