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International Conference on Finite Difference Methods

FDM 2014: Finite Difference Methods,Theory and Applications pp 400–407Cite as

Modeling of Annual Heat and Moisture Diffusion in a Multilayer Wall

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9045))

Abstract

We present an 1D numerical model of heat, steam, and water transfer across a wall consisting of several layers of different materials. The model is the system of coupled diffusion equations for wall temperature; vapor pressure, and water concentration in material pores, with account of vapor condensation and water evaporation. The system of nonlinear PDEs is solved numerically using the finite difference method. The main objective of modeling is simulation of long-term behavior of building wall moisture distribution under influence of seasonal variations in atmospheric air temperature and humidity.

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Acknowledgments

This work was financially supported by the Ministry of Science and Education of Russian Federation, contract RFMEFI57614X0034.

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Authors and Affiliations

  1. Insolar Group of Companies, Moscow, Russia

    G. P. Vasilyev, V. A. Lichman & N. V. Peskov

  2. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, 119991, Russia

    N. V. Peskov

Authors
  1. G. P. Vasilyev
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  2. V. A. Lichman
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  3. N. V. Peskov
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Corresponding author

Correspondence to N. V. Peskov .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, Institute of Information and Communication Technologies, Sofia, Bulgaria

    Ivan Dimov

  2. Institue of Mathematics and MTA-ELTE Numerical Analysis and Large Networks Research Group, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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© 2015 Springer International Publishing Switzerland

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Vasilyev, G.P., Lichman, V.A., Peskov, N.V. (2015). Modeling of Annual Heat and Moisture Diffusion in a Multilayer Wall. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods,Theory and Applications. FDM 2014. Lecture Notes in Computer Science(), vol 9045. Springer, Cham. https://doi.org/10.1007/978-3-319-20239-6_45

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  • DOI: https://doi.org/10.1007/978-3-319-20239-6_45

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20238-9

  • Online ISBN: 978-3-319-20239-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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