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Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials
Author(s) -
Yang Zhiqiang,
Cui Junzhi,
Wang Ziqiang,
Zhang Yang
Publication year - 2016
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22003
Subject(s) - convergence (economics) , partial differential equation , heat transfer , mathematics , numerical analysis , porous medium , field (mathematics) , mathematical optimization , algorithm , computer science , porosity , mathematical analysis , mechanics , materials science , physics , pure mathematics , economics , composite material , economic growth
This article discusses multiscale analysis and numerical algorithm for the nonstationary integrated heat transfer problem with rapidly oscillating coefficients. The multiscale asymptotic expansion of the solution for this kind of problems is presented first. Then, error estimates of the multiscale approximate solution are derived, and a numerical algorithm based on the multiscale method for temperature field is introduced. Finally, using some numerical models, we verify the validity and relevancy of the proposed algorithm. The numerical results show that the algorithm is effective to predict the heat transfer performance of porous materials, and support the convergence theorem reported in this article. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 510–530, 2016