Numerical solution of the diffusion equation describing the flow of radon through concrete

被引：17

作者：

Savovic, Svetislav ^{[1
]}

Djordjevich, Alexandar ^{[1
]}

机构：

[1] City Univ Hong Kong, Kowloon, Hong Kong, Peoples R China

来源：

APPLIED RADIATION AND ISOTOPES | 2008年 / 66卷 / 04期

关键词：

radon; diffusion equation; finite difference method; concrete;

D O I：

10.1016/j.apradiso.2007.08.018

中图分类号：

O61 [无机化学];

学科分类号：

070301 ; 081704 ;

摘要：

The process of radon diffusion through slabs of concrete with different thicknesses is investigated. The solution of the relevant diffusion equation is obtained by the explicit finite difference method. It is compared to experimental measurements and to numerical results obtained by the finite element method reported earlier. A need is demonstrated to account for the elevated radon concentration in air immediately behind the concrete slabs as it affects the diffusion through the slabs. The method presented for the calculation of radon diffusion through concrete walls allows estimation of the indoor radon concentration. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：552 / 555

页数：4

共 50 条

[41] Numerical solution to the Falkner-Skan equation: a novel numerical approach through the new rational a-polynomials
Abbasbandy, S.
Hajishafieiha, J.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2021, 42 (10) : 1449 - 1460
[42] Numerical simulation of pore structure on radon permeability and diffusion of porous media
Zeng, Jun
Chen, Yuan Chao
Jia, Qian Ran
Yang, Yang
Xie, Dong
JOURNAL OF RADIOANALYTICAL AND NUCLEAR CHEMISTRY, 2025, : 2919 - 2928
[43] The uniqueness of the solution to the diffusion equation with a damping term
Zhan, Huashui
APPLICABLE ANALYSIS, 2019, 98 (07) : 1333 - 1346
[44] Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion
Pinto, Luis
Sousa, Ercilia
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 50 : 211 - 228
[45] Numerical solution of the diffusion equation with moving boundary applied to modelling of the austenite-ferrite phase transformation
Pernach, M.
Pietrzyk, M.
COMPUTATIONAL MATERIALS SCIENCE, 2008, 44 (02) : 783 - 791
[46] The equimaterial approach for the numerical solution of the one dimensional transient diffusion equation with zero flux boundary conditions
Kostoglou, M.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (04) : 1353 - 1359
[47] On the numerical solution of space fractional order diffusion equation via shifted Chebyshev polynomials of the third kind
Sweilam, N. H.
Nagy, A. M.
El-Sayed, Adel A.
JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2016, 28 (01) : 41 - 47
[48] CAUCHY PROBLEM FOR THE NONLOCAL EQUATION DIFFUSION-ADVECTION RADON IN FRACTAL MEDIA
Parovik, R. I.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2010, (01): : 127 - 132
[49] Numerical solution for the Falkner-Skan equation
Elgazery, Nasser S.
CHAOS SOLITONS & FRACTALS, 2008, 35 (04) : 738 - 746
[50] On the numerical solution of the Kadomtsev-Petviadhvilli equation
Bratsos, A. G.
Famelis, I. Th.
ADVANCES IN COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2005, VOLS 4 A & 4 B, 2005, 4A-4B : 920 - 923

← 1 2 3 4 5 →