Simulation of the Process of Heat Conduction for 2D Periodic Anisotropic Composites

Simulation of the Process of Heat Conduction for 2D Periodic Anisotropic Composites

We consider the method of cell functions allowing one to compute the temperature and thermal fields in 2D periodic composites. The coefficients of macroscopic heat conduction are determined as the integrals of cell functions obtained as a result of the solution of a family of boundary-value problems...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-05, Vol.215 (2), p.183-195
Hauptverfasser: Gorynin, G. L., Nemirovskii, Yu. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Anisotropy
Mathematics
Mathematics and Statistics
Numerical analysis
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Beschreibung
Zusammenfassung:We consider the method of cell functions allowing one to compute the temperature and thermal fields in 2D periodic composites. The coefficients of macroscopic heat conduction are determined as the integrals of cell functions obtained as a result of the solution of a family of boundary-value problems in a periodic cell.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-2831-0