Multigroup transport equations with nondiagonal cross-section matrices

Journal Article · Sun Jun 01 04:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527078· OSTI ID:5707324

Willis, B L; van der Mee, C V.M.

Multigroup transport equations with nondiagonal cross-section matrices are studied using the Wiener-Hopf method. Formulas for the solution and the exit distribution are given in terms of the factorization of the symbol of the Wiener-Hopf equation. Unlike the formulas for a diagonal cross-section matrix, these formulas involve derivatives of the H-functions. For the case of two groups, the H-functions are computed explicitly.

• Research Organization: Center for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute; State University, Blacksburg, Virginia 24061
• DOE Contract Number: AS05-80ER10711
• OSTI ID: 5707324
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
ENERGY TRANSFER
EQUATIONS
FACTORIZATION
HEAT TRANSFER
INTEGRAL EQUATIONS
MATRICES
MULTIGROUP THEORY
NEUTRON TRANSPORT THEORY
RADIANT HEAT TRANSFER
S MATRIX
TRANSPORT THEORY