Parallel Finite Element Electron-Photon Transport Analysis on 2-D Unstructured Mesh

Abstract

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Spatial discretizations for self-adjoint forms of the radiative transfer equations

“…The use of higher-order continuous finite-element spatial discretizations should be examined in the future to see how robustness is affected. One would generally expect higher-order methods to be even less robust than lower-order methods, but good results for multidimensional coupled electron-photon transport calculations have been obtained with continuous quadratic spatial elements [14,16].…”

“…However, the authors did not use the principle for this purpose, and made no reference to the SAAF equation. The EP, OP and SAAF equations have recently been applied to coupled electron-photon transport [14][15][16]. This application significantly differs from neutronics and radiative transfer applications because the small energy transfers associated with electron scattering generally requires special treatment.…”

“…This application significantly differs from neutronics and radiative transfer applications because the small energy transfers associated with electron scattering generally requires special treatment. In particular, these transfers can be treated either with a special type of ''condensed'' cross-section approximation [14,16], or a continuous-slowing-down term [15]. The former is compatible with standard discretization and solution techniques for the EP, OP, and SAAF equations, while the latter requires some generalization of these techniques.…”

EMPHASIS/Nevada CABANA : user guide : version 1.0.

“…It takes specific results from the deterministic radiation-transport code CEPTRE [2] as sources and computes the resulting electrical response to an arbitrary cable load. The cable geometry itself is also arbitrary and is limited only by the patience of the user in meshing and by the available computing resources for the solution.…”

“…The "input" load on the first conductor (the first conductor keyword line in the problem_name.inp file) is R [1]. The "output" load on the first conductor is R [2]. The input load on the second conductor is R [3] and the ouput load is R [4], etc, down to the final conductor N which has input load R[2N-1] and output load R [2N].…”