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Finite element treatment of nonlinear thermal radiation transport

Conference · · Transactions of the American Nuclear Society; (United States)
OSTI ID:5765302

This paper reports the application of a variational finite element-spherical harmonics method to transient nonlinear radiation transport problems. Apart from its geometric flexibility, the finite element treatment described allows the use of spatially discontinuous trial functions in the variational principles. This permits an economical treatment of steep gradients in the photon intensity distribution and offers greater freedom in the choice of spherical harmonic expansion, potentially allowing the order of the expansion to be varied from region to region according to physical needs. The formulation also easily accomodates, with minor computational overheads, spatially varying cross sections and temperatures.

OSTI ID:
5765302
Report Number(s):
CONF-930601--
Journal Information:
Transactions of the American Nuclear Society; (United States), Journal Name: Transactions of the American Nuclear Society; (United States) Vol. 68; ISSN 0003-018X; ISSN TANSAO
Country of Publication:
United States
Language:
English