The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion Problem

In order to solve the two dimensional anisotropic diffusion problem, an efficient normal crossing numerical method was proposed. The program was written in FORTRAN language to realize numerical calculation. The method was compared with the equilibrium point method and the adaptive method. The anisot...

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Main Authors: LIU Xiaogang, LIAO Jipeng, CHEN Juhui, LU Yiping, SUN Haifeng
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2020-08-01
Series:Journal of Harbin University of Science and Technology
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Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1847
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author LIU Xiaogang
LIAO Jipeng
CHEN Juhui
LU Yiping
SUN Haifeng
author_facet LIU Xiaogang
LIAO Jipeng
CHEN Juhui
LU Yiping
SUN Haifeng
author_sort LIU Xiaogang
collection DOAJ
description In order to solve the two dimensional anisotropic diffusion problem, an efficient normal crossing numerical method was proposed. The program was written in FORTRAN language to realize numerical calculation. The method was compared with the equilibrium point method and the adaptive method. The anisotropic and anisotropic diffusion problems with analytic solutions are simulated by using a variety of rules and twisted meshes.The normal cross method decomposes the normal part into two parts: the current unit and the adjacent unit, and the diffusion cross part is displayed and processed according to the source term. It takes less time to solve the anisotropic diffusion problem than the equilibrium point method and the adaptive method, and has important application value in engineering.
format Article
id doaj-art-00ee2503e1124ddead9a2a25aff5c72a
institution DOAJ
issn 1007-2683
language zho
publishDate 2020-08-01
publisher Harbin University of Science and Technology Publications
record_format Article
series Journal of Harbin University of Science and Technology
spelling doaj-art-00ee2503e1124ddead9a2a25aff5c72a2025-08-20T03:03:50ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832020-08-012504697710.15938/j.jhust.2020.04.010The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion ProblemLIU Xiaogang0LIAO Jipeng1CHEN Juhui2LU Yiping3SUN Haifeng4Mechanical Power Engineering, Harbin University of Science Technology, Harbin 150080, ChinaMechanical Power Engineering, Harbin University of Science Technology, Harbin 150080, ChinaMechanical Power Engineering, Harbin University of Science Technology, Harbin 150080, ChinaMechanical Power Engineering, Harbin University of Science Technology, Harbin 150080, ChinaMechanical Power Engineering, Harbin University of Science Technology, Harbin 150080, ChinaIn order to solve the two dimensional anisotropic diffusion problem, an efficient normal crossing numerical method was proposed. The program was written in FORTRAN language to realize numerical calculation. The method was compared with the equilibrium point method and the adaptive method. The anisotropic and anisotropic diffusion problems with analytic solutions are simulated by using a variety of rules and twisted meshes.The normal cross method decomposes the normal part into two parts: the current unit and the adjacent unit, and the diffusion cross part is displayed and processed according to the source term. It takes less time to solve the anisotropic diffusion problem than the equilibrium point method and the adaptive method, and has important application value in engineering.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1847anisotropicdiffusion equationdistortion of meshfinite volume method
spellingShingle LIU Xiaogang
LIAO Jipeng
CHEN Juhui
LU Yiping
SUN Haifeng
The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion Problem
Journal of Harbin University of Science and Technology
anisotropic
diffusion equation
distortion of mesh
finite volume method
title The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion Problem
title_full The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion Problem
title_fullStr The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion Problem
title_full_unstemmed The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion Problem
title_short The Normal Cross Numerical Method Used to Solve the Anisotropic Diffusion Problem
title_sort normal cross numerical method used to solve the anisotropic diffusion problem
topic anisotropic
diffusion equation
distortion of mesh
finite volume method
url https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1847
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AT liaojipeng thenormalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem
AT chenjuhui thenormalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem
AT luyiping thenormalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem
AT sunhaifeng thenormalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem
AT liuxiaogang normalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem
AT liaojipeng normalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem
AT chenjuhui normalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem
AT luyiping normalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem
AT sunhaifeng normalcrossnumericalmethodusedtosolvetheanisotropicdiffusionproblem