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- Title
SECOND-ORDER MIXED-MOMENT MODEL WITH DIFFERENTIABLE ANSATZ FUNCTION IN SLAB GEOMETRY.
- Authors
Schneider, Florian
- Abstract
Mixed-moment minimum-entropy models (MMN models) are known to overcome the zero net-ux problem of full-moment minimum entropy MN models but lack regularity. We study differentiable mixed-moment models (full zeroth and first moment, half higher moments, called DMMN models) for a Fokker-Planck equation in one space dimension. Realizability theory for these modification of mixed moments is derived for second order. Numerical tests are performed with a kinetic first-order finite volume scheme and compared with MN, classical MMN and a PN reference scheme.
- Subjects
MINIMUM entropy method; MATHEMATICAL functions; MATHEMATICAL models; FOKKER-Planck equation; FINITE volume method; NUMERICAL analysis
- Publication
Kinetic & Related Models, 2018, Vol 11, Issue 5, p1255
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2018049