Computational Efficiency of Numerical Methods for the Multigroup, Discrete-Ordinates Neutron Transport Equations: The Slab Geometry Case

Nuclear Science and Engineering ◽

10.13182/nse71-111 ◽

1979 ◽

Vol 71 (2) ◽

pp. 111-127 ◽

Author(s):

R. E. Alcouffe ◽

E. W. Larsen ◽

W. F. Miller ◽

B. R. Wienke

Keyword(s):

Numerical Methods ◽

Computational Efficiency ◽

Neutron Transport ◽

Transport Equations ◽

Discrete Ordinates ◽

Slab Geometry ◽

Neutron Transport Equations

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Convergence Rates of Spatial Difference Equations for the Discrete-Ordinates Neutron Transport Equations in Slab Geometry

Nuclear Science and Engineering ◽

10.13182/nse80-3 ◽

1980 ◽

Vol 73 (1) ◽

pp. 76-83 ◽

Author(s):

Edward W. Larsen ◽

Warren F. Miller

Keyword(s):

Difference Equations ◽

Convergence Rates ◽

Neutron Transport ◽

Transport Equations ◽

Discrete Ordinates ◽

Spatial Difference ◽

Slab Geometry ◽

Neutron Transport Equations

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Concurrent Source Iteration in the Solution of Three-Dimensional, Multigroup Discrete Ordinates Neutron Transport Equations

Nuclear Science and Engineering ◽

10.13182/nse96-a24166 ◽

1996 ◽

Vol 122 (3) ◽

pp. 287-308 ◽

Author(s):

Milo R. Dorr ◽

Charles H. Still

Keyword(s):

Neutron Transport ◽

Three Dimensional ◽

Transport Equations ◽

Discrete Ordinates ◽

Neutron Transport Equations

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A linear multiple balance method with high order accuracy for discrete ordinates neutron transport equations

Annals of Nuclear Energy ◽

10.1016/s0306-4549(00)00140-7 ◽

2001 ◽

Vol 28 (15) ◽

pp. 1499-1517 ◽

Author(s):

Chang Je Park ◽

Nam Zin Cho

Keyword(s):

Neutron Transport ◽

Transport Equations ◽

Balance Method ◽

High Order Accuracy ◽

Discrete Ordinates ◽

Order Accuracy ◽

Neutron Transport Equations

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Computational Efficiency of Some Numerical Methods for the Multigroup Discrete Ordinates Solution of Stationary Boltzmann Equations for Neutrons and Gamma Rays in Slab Geometry

Nuclear Science and Engineering ◽

10.13182/nse82-a21458 ◽

1982 ◽

Vol 82 (4) ◽

pp. 448-457

Author(s):

P. Barbucci ◽

F. Di Pasquantonio

Keyword(s):

Numerical Methods ◽

Computational Efficiency ◽

Discrete Ordinates ◽

Slab Geometry ◽

Boltzmann Equations

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Numerical methods for the generation of the spectrum of the multigroup slab-geometry discrete ordinates operator in neutron transport theory

Annals of Nuclear Energy ◽

10.1016/s0306-4549(02)00014-2 ◽

2002 ◽

Vol 29 (15) ◽

pp. 1837-1853 ◽

Author(s):

Marcos Pimenta de Abreu

Keyword(s):

Numerical Methods ◽

Transport Theory ◽

Neutron Transport ◽

Discrete Ordinates ◽

Slab Geometry ◽

Neutron Transport Theory

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Linearized BGK and neutron transport equations in finite domains

Transport Theory and Statistical Physics ◽

10.1080/00411458108247959 ◽

1981 ◽

Vol 10 (3) ◽

pp. 75-104 ◽

Author(s):

C. V. M. Van der Mee

Keyword(s):

Neutron Transport ◽

Transport Equations ◽

Neutron Transport Equations ◽

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Multigrid algorithms for solving multigroup neutron transport equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.11.168 ◽

2006 ◽

Vol 179 (2) ◽

pp. 473-483 ◽

Author(s):

Liquan Mei

Keyword(s):

Neutron Transport ◽

Transport Equations ◽

Neutron Transport Equations ◽

Multigroup Neutron

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Spectral element solutions for the PN neutron transport equations

Computers & Fluids ◽

10.1016/j.compfluid.2010.06.010 ◽

2011 ◽

Vol 43 (1) ◽

pp. 102-106 ◽

Author(s):

E.H. Mund

Keyword(s):

Neutron Transport ◽

Spectral Element ◽

Transport Equations ◽

Neutron Transport Equations

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A rebalance approach to nonlinear iteration for solving the neutron transport equations

Annals of Nuclear Energy ◽

10.1016/0306-4549(96)00054-0 ◽

1997 ◽

Vol 24 (2) ◽

pp. 147-160 ◽

Author(s):

Ser Gi Hong ◽

Cho Nam Zin

Keyword(s):

Neutron Transport ◽

Transport Equations ◽

Neutron Transport Equations ◽

Nonlinear Iteration

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Erratum: Neutron transport equations with spin‐orbit coupling

Journal of Mathematical Physics ◽

10.1063/1.1666452 ◽

1973 ◽

Vol 14 (8) ◽

pp. 1152-1152

Author(s):

L. M. Tannenwald

Keyword(s):

Neutron Transport ◽

Transport Equations ◽

Orbit Coupling ◽

Spin Orbit Coupling ◽

Neutron Transport Equations

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