One-group steady state diffusion in a heterogeneous slab

B. Ganapol

doi:10.1016/j.matcom.2010.04.008

One-group steady state diffusion in a heterogeneous slab

B. Ganapol

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We derive a customized solution to the diffusion equation in a heterogeneous slab with an arbitrary contiguous source. While aspects of solution have previously been reported in the literature, its full explicit form as presented here by solving a 3-term recurrence, has not. We conclude with a series of exercises demonstrating the utility of the solution.

Original language	English (US)
Pages (from-to)	2142-2158
Number of pages	17
Journal	Mathematics and Computers in Simulation
Volume	80
Issue number	11
DOIs	https://doi.org/10.1016/j.matcom.2010.04.008
State	Published - Jul 2010

Keywords

Analytical solution
Criticality
Neutron diffusion
Recurrence

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science
Numerical Analysis
Modeling and Simulation
Applied Mathematics

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10.1016/j.matcom.2010.04.008

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title = "One-group steady state diffusion in a heterogeneous slab",

abstract = "We derive a customized solution to the diffusion equation in a heterogeneous slab with an arbitrary contiguous source. While aspects of solution have previously been reported in the literature, its full explicit form as presented here by solving a 3-term recurrence, has not. We conclude with a series of exercises demonstrating the utility of the solution.",

keywords = "Analytical solution, Criticality, Neutron diffusion, Recurrence",

author = "B. Ganapol",

year = "2010",

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PY - 2010/7

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N2 - We derive a customized solution to the diffusion equation in a heterogeneous slab with an arbitrary contiguous source. While aspects of solution have previously been reported in the literature, its full explicit form as presented here by solving a 3-term recurrence, has not. We conclude with a series of exercises demonstrating the utility of the solution.

AB - We derive a customized solution to the diffusion equation in a heterogeneous slab with an arbitrary contiguous source. While aspects of solution have previously been reported in the literature, its full explicit form as presented here by solving a 3-term recurrence, has not. We conclude with a series of exercises demonstrating the utility of the solution.

KW - Analytical solution

KW - Criticality

KW - Neutron diffusion

KW - Recurrence

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M3 - Article

AN - SCOPUS:77955420616

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EP - 2158

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 11

ER -

One-group steady state diffusion in a heterogeneous slab

Abstract

Keywords

ASJC Scopus subject areas

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