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Divergence preserving discrete surface integral methods for Maxwell`s curl equations using non-orthogonal unstructured grids

Journal Article · · Journal of Computational Physics
 [1]
  1. Lawrence Livermore National Lab., CA (United States)

Several new discrete surface integral methods for solving Maxwell`s equations in the time-domain are presented. These methods, which allow the use of general non-orthogonal mixed-polyhedral unstructured grids, are direct generalizations of the canonical staggered-grid finite difference method. These methods are conservative in that they locally preserve {open_quotes}divergence{close_quotes} or charge. Employing mixed polyhedral cells (hexahedral, tetrahedral, etc.), these methods allow more accurate modeling of non-rectangular structures and objects because the traditional {open_quotes}stair-stepped{close_quotes} boundary approximations associated with the orthogonal grid based finite difference methods can be avoided. Numerical results demonstrating the accuracy of these new methods are presented. 15 refs., 16 figs., 1 tab.

DOE Contract Number:
W-7405-ENG-48
OSTI ID:
98809
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 119; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English

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