Published 1999 | Version v1
Book Metadata-only

Diffusion form of transport equation and the kinetic diffusion method for the the subcritical systems analyses

Creators

  • 1. State Scientific Center of Russian Federation Inst. of Theoretical and Experimental Physics, Moscow (Russian Federation)

Description

The kinetic transport method is proposed for solving the multidimensional neutron transport problem for subcritical systems. The main idea of this method is that the original one-velocity Boltzmann equation is expressed in a form structurally fully equivalent to the conventional diffusion equation without assumptions or approximations. The diffusion forms of transport equations for isotropic and non-isotropic scattering and an external sources are obtained. For validation of the diffusion kinetic method, a set of calculations of the Milne problem involving different types of media and scattering kernels are performed. Results of numerical calculations of the Milne problems are presented

Abstract (Russian)

Для решения многомерной задачи переноса нейтронов в подкритических системах предлагается использовать метод кинетического переноса. Основная идея этого метода заключается в том, что обычное одно-скоростное уравнение Больцмана выражется в виде структурно полностью эквивалентном обычному диффузионному уравнению без каких-либо допущений и аппроксимаций. Получены диффузионные формы транспортных уравнений для изотропного и неизотропного рассеяния и внешнего источника. Для проверки правильности диффузионного кинетического метода проведены расчеты задачи Милна для различных типов среды и ядер рассеяния. Представлены результаты численных расчетов задачи Милна
Part of:
International conference on sub-critical accelerator driven systems. Proceedings

Additional details

Additional titles

Original title (English)
Mezhdunarodnaya konferentsiya po ehlektroyadernym sistemam v perspektivnoj yadernoj ehnergetike. Trudy

Publishing Information

Publisher
ITEhF
Imprint Place
Moscow (Russian Federation)
ISBN
5-85165-662-X
Imprint Title
International conference on sub-critical accelerator driven systems. Proceedings
Imprint Pagination
275 p.
Journal Page Range
p. 112-125

Conference

Title
International conference on sub-critical accelerator driven systems
Dates
11-15 Oct 1999
Place
Moscow (Russian Federation)

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
32053786
Subject category
S22: GENERAL STUDIES OF NUCLEAR REACTORS;
Resource subtype / Literary indicator
Conference, Numerical Data
Descriptors DEI
BOLTZMANN EQUATION; MILNE PROBLEM; NEUTRON DIFFUSION EQUATION; NEUTRON TRANSPORT THEORY; NUMERICAL ANALYSIS; P1-APPROXIMATION; REACTOR KINETICS EQUATIONS; REACTOR PHYSICS; SCATTERING; SUBCRITICAL ASSEMBLIES; THEORETICAL DATA
Descriptors DEC
CALCULATION METHODS; DATA; DIFFERENTIAL EQUATIONS; EQUATIONS; EXPERIMENTAL REACTORS; INFORMATION; INTEGRO-DIFFERENTIAL EQUATIONS; KINETIC EQUATIONS; MATHEMATICS; NUMERICAL DATA; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICS; REACTORS; RESEARCH AND TEST REACTORS; SPHERICAL HARMONICS METHOD; TRANSPORT THEORY

Optional Information

Notes
5 refs., 3 tabs. Imprint:Mezhdunarodnaya konferentsiya po ehlektroyadernym sistemam v perspektivnoj yadernoj ehnergetike. Trudy