THE PN THEORY AS AN ASYMPTOTIC LIMIT OF TRANSPORT-THEORY IN PLANAR GEOMETRY .1. ANALYSIS

被引：42

作者：

LARSEN, EW ^{[1
]}

POMRANING, GC ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,SCH ENGN & APPL SCI,LOS ANGELES,CA 90024

来源：

NUCLEAR SCIENCE AND ENGINEERING | 1991年 / 109卷 / 01期

关键词：

D O I：

10.13182/NSE91-A23844

中图分类号：

TL [原子能技术]; O571 [原子核物理学];

学科分类号：

0827 ; 082701 ;

摘要：

The P(N) theory is shown to be an asymptotic limit of transport theory for an optically thick planar-geometry system with small absorption and highly anisotropic scattering. The asymptotic analysis shows that the solution in the interior of the system is described by the standard P(N) equations for which initial, boundary, and interface conditions are determined by asymptotic initial, boundary layer, and interface layer calculations. The asymptotic initial, (reflecting) boundary, and interface conditions for the P(N) equations agree with conventional formulations. However, at a boundary having a prescribed incident flux, the asymptotic boundary layer analysis yields P(N) boundary conditions that differ from previous formulations. Numerical transport and P(N) results are presented to substantiate this asymptotic theory.

引用

页码：49 / 75

页数：27

共 25 条

[11] ASYMPTOTIC SOLUTION OF NEUTRON-TRANSPORT PROBLEMS FOR SMALL MEAN FREE PATHS [J].

LARSEN, EW ;

KELLER, JB .

JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (01) :75-81

[12] ASYMPTOTIC SOLUTIONS OF NUMERICAL TRANSPORT PROBLEMS IN OPTICALLY THICK, DIFFUSIVE REGIMES .2. [J].

LARSEN, EW ;

MOREL, JE .

JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 83 (01) :212-236

[13] DIFFUSION-THEORY AS AN ASYMPTOTIC LIMIT OF TRANSPORT-THEORY FOR NEARLY CRITICAL SYSTEMS WITH SMALL MEAN FREE PATHS [J].

LARSEN, EW .

ANNALS OF NUCLEAR ENERGY, 1980, 7 (4-5) :249-255

[14]

LARSEN EW, 1991, APR P TOPL M ADV MAT, V2

[15]

LARSEN EW, 1987, J COMPUT PHYS, V69, P28

[16]

Lewis E, 1984, COMPUTATIONAL METHOD

[17]

MALVAGI F, IN PRESS J MATH PHYS

[18]

Marchuk G.I., 1981, NUMERICAL METHODS TH

[19] FOKKER-PLANCK CALCULATIONS USING STANDARD DISCRETE ORDINATES TRANSPORT CODES [J].

MOREL, JE .

NUCLEAR SCIENCE AND ENGINEERING, 1981, 79 (04) :340-356

[20] SYNTHETIC ACCELERATION METHOD FOR DISCRETE ORDINATES CALCULATIONS WITH HIGHLY ANISOTROPIC SCATTERING. [J].

Morel, J.E. .

Nuclear Science and Engineering, 1982, 82 (01) :34-46

← 1 2 3 →