FINITE-ELEMENT METHOD FOR NEUTRON-TRANSPORT .2. SOME PRACTICAL CONSIDERATIONS

被引:17
作者
GALLIARA, J [1 ]
WILLIAMS, MMR [1 ]
机构
[1] UNIV LONDON QUEEN MARY COLL,DEPT NUCL ENGN,LONDON E1 4NS,ENGLAND
关键词
D O I
10.1016/0306-4549(79)90075-6
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
It is found that the even-parity form of the neutron transport equation is well suited to a variational formulation in conjunction with the finite element approximation. A finite element technique is studied in the context of reactor physics calculations which is of particular interest in the nuclear engineering field. Multi-region slab problems for a given source distribution and critical slab problems are solved with an accuracy as good as the best problem techniques available. An exact solution is obtained for the special case of forward scattering with uniform source distribution in a slab reactor. © 1979.
引用
收藏
页码:205 / 223
页数:19
相关论文
共 28 条
[21]   NON-SELF-ADJOINT VARIATIONAL PROCEDURE FOR FINITE-ELEMENT APPROXIMATION OF TRANSPORT-EQUATION [J].
PITKARANTA, J .
TRANSPORT THEORY AND STATISTICAL PHYSICS, 1975, 4 (01) :1-24
[22]  
POMRANING GC, 1963, NUCL SCI ENG, V16, P155, DOI 10.13182/NSE63-A26495
[23]   NEW DIFFERENCE SCHEMES FOR NEUTRON TRANSPORT EQUATION [J].
REED, WH .
NUCLEAR SCIENCE AND ENGINEERING, 1971, 46 (02) :309-+
[24]   APPLICATION OF FINITE ELEMENT METHOD TO MULTIGROUP NEUTRON DIFFUSION EQUATION [J].
SEMENZA, LA ;
ROSSOW, EC ;
LEWIS, EE .
NUCLEAR SCIENCE AND ENGINEERING, 1972, 47 (03) :302-&
[25]   EFFECT OF ANISOTROPIC SCATTERING ON CRITICAL SLAB PROBLEM IN NEUTRON-TRANSPORT THEORY USING A SYNTHETIC KERNEL [J].
SIEWERT, CE ;
WILLIAMS, MMR .
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1977, 10 (15) :2031-2040
[26]  
Strang G., 1973, CONSTRUCTIVE ASPECTS, DOI 10.2307/2005716
[27]  
WILLIAMS MMR, 1974, MATH METHODS PARTICL
[28]  
Zienkiewicz O.C., 1971, FINITE ELEMENT METHO