A new monte carlo method for solving a stationary diffusion equation

2000 ◽  
Vol 41 (5) ◽  
pp. 900-906
Author(s):  
G. A. Mikhaîlov ◽  
A. V. Burmistrov
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Diffusion Equation ◽  
Stationary Diffusion ◽  
Stationary Diffusion Equation

scholarly journals On a pore-scale stationary diffusion equation: Scaling effects and correctors for the homogenization limit

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0 ◽  
Author(s):  
Vo Anh Khoa ◽  
◽  
Thi Kim Thoa Thieu ◽  
Ekeoma Rowland Ijioma ◽  
◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Pore Scale ◽  
Scaling Effects ◽  
Stationary Diffusion ◽  
Stationary Diffusion Equation

scholarly journals “CHAPTER 5” DIFFUSION THEORY

2021 ◽  
Vol 247 ◽  
pp. 14005
Author(s):  
B. Ganapol ◽  
P. Tsvetkov
Keyword(s):  
Diffusion Equation ◽  
Nuclear Reactor ◽  
Diffusion Theory ◽  
General Setting ◽  
Usual Method ◽  
Diffusion Equations ◽  
Basic Form ◽  
Reactor Physics ◽  
Stationary Diffusion ◽  
Stationary Diffusion Equation

In many nuclear reactor physics texts (excluding Elmer Lewis’s recent text however), “Chapter 5” is dedicated to diffusion theory; hence, the title of this submission. Here, we will investigate analytical solutions to the most basic form of the monoenergetic 1D stationary diffusion equation. The intuitive approach taken radically departs from the usual method of solving the diffusion equation. In particular, we consider a general setting such that the method accommodates all solutions to the monoenergetic diffusion equations in 1D plane and curvilinear geometries. This is not your father’s diffusion theory and, for this reason, we anticipate it will eventually become the classroom standard.

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