A Method for the Numerical Integration of the Neutron Transport Equation in Slab Geometry

Takeuchi, Kiyoshi; Kataoka, Iwao

doi:10.3327/jnst.3.209

Cited by 1 publication

(2 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(2) The neutron spectra within and behind material are obtained. (3) The angular distributions and energy spectra of neutrons within and behind multi-layered slabs can be calculated. (4) The method can effectively calculate neutron problems pertaining to sources presenting ariy given angular distribution.…”

Section: Discussionmentioning

confidence: 99%

“…(2) The distribution function f(E, f.k) is allowed to be approximated by a step function with respect to L1E. (3) The slowing down kernel g(E', E) is represented by the two forms written below(7), one of which is a simple continuous function for a continuous spectrum in the distribution of energy level of the nucleus, and the other is a sum of o functions for discrete levels:…”

Section: Calculation Of Scattering Integralsmentioning

confidence: 99%

See 1 more Smart Citation

Discrete Ordinates Numerical Integration Method for Neutron Transport Equation in Slab Geometry

Takeuchi¹,

Kataoka²

1968

J. Nucl. Sci. Technol.

Self Cite

View full text Add to dashboard Cite

A method is presented for solving neutron transport problems in slab geometry with the application of discrete ordinates numerical integration to the Boltzmann transport equation.Neutron spectra for water, iron and carbon layers are calculated and compared with experimental data. Good agreement is obtained between computed and measured values for both angular distributions and the energy spectra of neutrons. The calculated neutron spectra in an iron-water layer are also presented as an example of solutions derivable for neutron transport problems in multi-layered shield.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Calculation Of Scattering Integralsmentioning

confidence: 99%