High-Order Entropy-Based Closures for Linear Transport in Slab Geometries
Journal Article
·
· Communications in Mathematical Sciences
- ORNL
We compute, for the first time, 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 $N=5$ ; 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 $$N$$.
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC05-00OR22725
- OSTI ID:
- 986783
- Journal Information:
- Communications in Mathematical Sciences, Vol. 9, Issue 1
- Country of Publication:
- United States
- Language:
- English
Similar Records
High-order entropy-based closures for linear transport in slab geometry II: A computational study of the optimization problem
Comparison of kinetic and extended magnetohydrodynamics computational models for the linear ion temperature gradient instability in slab geometry
Efficient algorithms and implementations of entropy-based moment closures for rarefied gases
Journal Article
·
Sun Jan 01 00:00:00 EST 2012
· SIAM Journal on Scientific Computing
·
OSTI ID:986783
Comparison of kinetic and extended magnetohydrodynamics computational models for the linear ion temperature gradient instability in slab geometry
Journal Article
·
Sat Jun 15 00:00:00 EDT 2013
· Physics of Plasmas
·
OSTI ID:986783
+1 more
Efficient algorithms and implementations of entropy-based moment closures for rarefied gases
Journal Article
·
Sat Jul 01 00:00:00 EDT 2017
· Journal of Computational Physics
·
OSTI ID:986783