Geodesic
Construction of Quasi-Structured Locally Modified Grids for Solving Problems of High Current Electronics
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 14 (2012), pp. 130-140

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An algorithm for constructing quasi-structured grids, which consist of the uniform rectangular subgrids and are built in two stages, is considered. At first, the computational domain is covered by a uniform rectangular macrogrid, and then an original uniform rectangular subgrid is set for each macroelement. It is essential that subgrids can be inconsistent. By adjusting a density of the subgrid nodes an adaptation of the quasi-structured grid to inhomogeneities within the domain is achieved. To adapt the grid to the exterior boundary we make local modifications consisting in a shift of the near boundary nodes to the boundary. Here we propose the algorithm of the local modification to construct a quasi-structured grid of high quality which does not break a subgrid structuring. The suggested quasi-structured grids profitably differ from structured grids in that they do not require extra nodes to support structuring and, also, storing a large amount of information as for unstructured ones. The solution of boundary value problems for quasi-structured grids is found by a decomposition of the computational domain into subdomains without overlapping. This method can be easily parallelized and, therefore, used to carry out calculations on multiprocessor supercomputers.
Keywords: quasi-structured grids, boundary value problems, high-current electronics.
Mots-clés : local modification, domain decomposition method 
@article{VYURU_2012_14_a12,
     author = {V. M. Sveshnikov and D. O. Belyaev},
     title = {Construction of {Quasi-Structured} {Locally} {Modified} {Grids} for {Solving} {Problems} of {High} {Current} {Electronics}},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {130--140},
     publisher = {mathdoc},
     number = {14},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2012_14_a12/}
}
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V. M. Sveshnikov; D. O. Belyaev. Construction of Quasi-Structured Locally Modified Grids for Solving Problems of High Current Electronics. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 14 (2012), pp. 130-140. http://geodesic.mathdoc.fr/item/VYURU_2012_14_a12/