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.
Original language | English |
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Pages (from-to) | 187-205 |
Number of pages | 19 |
Journal | Communications in Mathematical Sciences |
Volume | 9 |
Issue number | 1 |
DOIs | |
State | Published - Mar 2011 |
Keywords
- Maximum entropy
- Moment closures
- Particle transport