Two-Dimensional Geometrical Corner Singularities in Neutron Diffusion--Part II: Application to the SNR-300 Benchmark

1998 ◽  
Vol 128 (1) ◽  
pp. 17-26
Author(s):  
D. G. Cacuci ◽  
E. Kiefhaber ◽  
B. Stehle
Keyword(s):  
Neutron Diffusion ◽  
Two Dimensional ◽  
Corner Singularities

Numerical simulation of two-dimensional and three-dimensional axisymmetric advection–diffusion systems with complex geometries using finite-volume methods

2010 ◽  
Vol 466 (2118) ◽  
pp. 1621-1643 ◽  
Author(s):  
J. M. A. Ashbourn ◽  
L. Geris ◽  
A. Gerisch ◽  
C. J. S. Young
Keyword(s):  
Finite Volume ◽  
Three Dimensional ◽  
Finite Volume Methods ◽  
Two Dimensional ◽  
Corner Singularities ◽  
Bone Fracture Healing ◽  
Curved Boundaries ◽  
Advection Diffusion ◽  
Diffusion Systems ◽  
Volume Method

A finite-volume method has been developed that can deal accurately with complicated, curved boundaries for both two-dimensional and three-dimensional axisymmetric advection–diffusion systems. The motivation behind this is threefold. Firstly, the ability to model the correct geometry of a situation yields more accurate results. Secondly, smooth geometries eliminate corner singularities in the calculation of, for example, mechanical variables and thirdly, different geometries can be tested for experimental applications. An example illustrating each of these is given: fluid carrying a dye and rotating in an annulus, bone fracture healing in mice, and using vessels of different geometry in an ultracentrifuge.

scholarly journals PDQ--AN IBM-704 CODE TO SOLVE THE TWO-DIMENSIONAL FEW-GROUP NEUTRON- DIFFUSION EQUATIONS

1957 ◽  
Author(s):  
G.G. Bilodeau ◽  
W.R. Cadwell ◽  
J.P. Dorsey ◽  
J.G. Fairey ◽  
R.S. Varga
Keyword(s):  
Diffusion Equations ◽  
Neutron Diffusion ◽  
Two Dimensional
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