High-order entropy-based closures for linear transport in slab geometry

Cory D. Hauck

doi:10.4310/CMS.2011.v9.n1.a9

High-order entropy-based closures for linear transport in slab geometry

Cory D. Hauck

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70 Scopus citations

Abstract

We compute high-order entropy-based (M_N) models for a linear transport equation on a one-dimensional slab geometry. We simulate two test problems from the literature: the two-beam instability and the plane-source problem. In the former case, we compute solutions for systems up to order N = 6; in the latter, up to N = 15. The most notable outcome of these results is the existence of shocks in the steady-state profiles of the two-beam instability for all odd values of N.

Original language	English
Pages (from-to)	187-205
Number of pages	19
Journal	Communications in Mathematical Sciences
Volume	9
Issue number	1
DOIs	https://doi.org/10.4310/CMS.2011.v9.n1.a9
State	Published - Mar 2011

Keywords

Maximum entropy
Moment closures
Particle transport

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10.4310/CMS.2011.v9.n1.a9

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abstract = "We compute high-order entropy-based (MN) models for a linear transport equation on a one-dimensional slab geometry. We simulate two test problems from the literature: the two-beam instability and the plane-source problem. In the former case, we compute solutions for systems up to order N = 6; in the latter, up to N = 15. The most notable outcome of these results is the existence of shocks in the steady-state profiles of the two-beam instability for all odd values of N.",

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AB - We compute high-order entropy-based (MN) models for a linear transport equation on a one-dimensional slab geometry. We simulate two test problems from the literature: the two-beam instability and the plane-source problem. In the former case, we compute solutions for systems up to order N = 6; in the latter, up to N = 15. The most notable outcome of these results is the existence of shocks in the steady-state profiles of the two-beam instability for all odd values of N.

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KW - Moment closures

KW - Particle transport

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High-order entropy-based closures for linear transport in slab geometry

Abstract

Keywords

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