A MULTIGROUP APPROACH TO THE NONLINEAR EXTENDED BOLTZMANN-EQUATION

被引:8
作者
CARAFFINI, GL [1 ]
GANAPOL, BD [1 ]
SPIGA, G [1 ]
机构
[1] UNIV ARIZONA,DEPT NUCL ENGN,TUCSON,AZ
来源
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS | 1995年 / 17卷 / 02期
关键词
Kinetic and transport theory;
D O I
10.1007/BF02451592
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Following a procedure which is typical of linear (neutron) transport theory, a multigroup approach is proposed for the non-linear extended Boltzmann equation in the presence of removal, a background medium, an external source and an external force field. The relevant multigroup equations, corresponding to a discretization of the speed variable only, are derived and discussed, especially in connection with the so-called semi-discrete models recently introduced in kinetic theory.
引用
收藏
页码:129 / 142
页数:14
相关论文
共 9 条
[1]  
Bell G.I., 1970, NUCL REACTOR THEORY
[2]   ON THE EQUIVALENCE BETWEEN THE PROBABILISTIC, KINETIC, AND SCATTERING KERNEL FORMULATIONS OF THE BOLTZMANN-EQUATION [J].
BOFFI, VC ;
PROTOPOPESCU, V ;
SPIGA, G .
PHYSICA A, 1990, 164 (02) :400-410
[3]  
CABANNES H, 1980, LECTURE NOTES U CALI
[4]  
Cercignani C., 1988, BOLTZMANN EQUATION I
[5]  
GATIGNOL R, 1975, LECTURE NOTES PHYSIC, V36
[6]   THE SEMICONTINUOUS BOLTZMANN-EQUATION - TOWARDS A MODEL FOR FLUID DYNAMIC APPLICATIONS [J].
LONGO, E ;
PREZIOSI, L ;
BELLOMO, N .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1993, 3 (01) :65-93
[7]  
MONACO R, 1991, FLUID DYNAMICS APPLI
[8]  
SPIGA G, 1991, LECT NOTES MATH, V1460, P203
[9]  
SPIGA G, 1984, APPLICATIONS MATH TE, P430