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

Communications in Mathematical Sciences ◽

10.4310/cms.2011.v9.n1.a9 ◽

2011 ◽

Vol 9 (1) ◽

pp. 187-205 ◽

Author(s):

Cory D. Hauck

Keyword(s):

Slab Geometry ◽

Linear Transport

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Kershaw closures for linear transport equations in slab geometry II: High-order realizability-preserving discontinuous-Galerkin schemes

Journal of Computational Physics ◽

10.1016/j.jcp.2016.07.014 ◽

2016 ◽

Vol 322 ◽

pp. 920-935 ◽

Author(s):

Florian Schneider

Keyword(s):

Discontinuous Galerkin ◽

Transport Equations ◽

Slab Geometry ◽

Linear Transport

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High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem

SIAM Journal on Scientific Computing ◽

10.1137/11084772x ◽

2012 ◽

Vol 34 (4) ◽

pp. B361-B391 ◽

Author(s):

Graham W. Alldredge ◽

Cory D. Hauck ◽

André L. Tits

Keyword(s):

Optimization Problem ◽

Computational Study ◽

Slab Geometry ◽

Linear Transport

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Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry

Transport Theory and Statistical Physics ◽

10.1080/00411459408204346 ◽

1994 ◽

Vol 23 (5) ◽

pp. 633-670 ◽

Author(s):

K. Latrach

Keyword(s):

Boundary Conditions ◽

Asymptotic Behaviour ◽

Transport Equations ◽

Slab Geometry ◽

Linear Transport ◽

Abstract Boundary

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On the spectrum of the linear transport operator in a slab geometry with generalized periodic boundary conditions

Transport Theory and Statistical Physics ◽

10.1080/00411459908205656 ◽

1999 ◽

Vol 28 (2) ◽

pp. 181-189 ◽

Author(s):

Wanlang Wang ◽

Rong Yuan

Keyword(s):

Boundary Conditions ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Slab Geometry ◽

Transport Operator ◽

Linear Transport

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Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.237 ◽

2001 ◽

Vol 24 (10) ◽

pp. 689-711 ◽

Author(s):

Khalid Latrach ◽

Abdelkader Dehici

Keyword(s):

Asymptotic Behaviour ◽

Spectral Properties ◽

Transport Equations ◽

Slab Geometry ◽

Linear Transport

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Product integration for the linear transport equation in slab geometry

Numerische Mathematik ◽

10.1007/bf01397138 ◽

1988 ◽

Vol 53 (6) ◽

pp. 739-739

Author(s):

G. Monegato ◽

V. Colombo

Keyword(s):

Transport Equation ◽

Slab Geometry ◽

Product Integration ◽

Linear Transport ◽

Linear Transport Equation

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Kershaw closures for linear transport equations in slab geometry I: Model derivation

Journal of Computational Physics ◽

10.1016/j.jcp.2016.02.080 ◽

2016 ◽

Vol 322 ◽

pp. 905-919 ◽

Author(s):

Florian Schneider

Keyword(s):

Transport Equations ◽

Slab Geometry ◽

Linear Transport ◽

Model Derivation

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A Nonhomogeneous Boundary‐Value Problem for the Linear Transport Equation for a Slab Geometry

Journal of Mathematical Physics ◽

10.1063/1.1665704 ◽

1971 ◽

Vol 12 (7) ◽

pp. 1100-1112 ◽

Author(s):

Gerald R. Hintz

Keyword(s):

Boundary Value Problem ◽

Transport Equation ◽

Boundary Value ◽

Slab Geometry ◽

Linear Transport ◽

Nonhomogeneous Boundary ◽

Linear Transport Equation

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Compactness properties for linear transport operators with abstract boundary conditions in slab geometry

Transport Theory and Statistical Physics ◽

10.1080/00411459308203529 ◽

1993 ◽

Vol 22 (1) ◽

pp. 39-64 ◽

Author(s):

Khalid Latrach

Keyword(s):

Boundary Conditions ◽

Slab Geometry ◽

Linear Transport ◽

Abstract Boundary

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A realizability-preserving high-order kinetic scheme using WENO reconstruction for entropy-based moment closures of linear kinetic equations in slab geometry

Kinetic and Related Models ◽

10.3934/krm.2016.9.193 ◽

2015 ◽

Vol 9 (1) ◽

pp. 193-215 ◽

Author(s):

Florian Schneider ◽

Jochen Kall ◽

Graham Alldredge

Keyword(s):

Kinetic Equations ◽

Kinetic Scheme ◽

Order Kinetic ◽

Weno Reconstruction ◽

Slab Geometry ◽

Moment Closures ◽

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