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A Robust Arbitrarily High-Order Transport Method of the Characteristic Type for Unstructured Grids

Rodolfo M. Ferrer, Yousry Y. Azmy

Nuclear Science and Engineering / Volume 172 / Number 1 / Pages 33-51

September 2012

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A reformulation of the arbitrarily high-order transport method of the characteristic type (AHOT-C) for unstructured grids (AHOT-C-UG) is presented in this work, which resolves the previous difficulties encountered in the original formalism. A general equivalence between the arbitrary-order neutron balance and arbitrary-order characteristic equations is derived, which improves the numerical computation of the spatial moments of the angular flux and allows a series expansion of the characteristic integral kernel in cases where the medium is optically thin. Numerical results are presented, which verify the convergence behavior of AHOT-C-UG for various expansion orders.

 
 
 
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