Geodesic
Heat conduction simulation method accounting heat transfer between substances in mixed cells
Matematičeskoe modelirovanie, Tome 14 (2002) no. 7, pp. 15-26

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A new model of heat conduction for multi-component medium is proposed. This model does not suggest components temperature equality in mixed cells. The model is founded on accounting intragrid heat exchange between components in mixed cells which is performed in the same manner as that in the normal heat conduction. An essentially higher accuracy of the method proposed as compared with the method using an assumption of components temperature equality is shown. 
@article{MM_2002_14_7_a1,
     author = {Yu. A. Bondarenko and A. R. Shagalieva and Yu. V. Yanilkin},
     title = {Heat conduction simulation method accounting heat transfer between substances in mixed cells},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {15--26},
     publisher = {mathdoc},
     volume = {14},
     number = {7},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_7_a1/}
}
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Yu. A. Bondarenko; A. R. Shagalieva; Yu. V. Yanilkin. Heat conduction simulation method accounting heat transfer between substances in mixed cells. Matematičeskoe modelirovanie, Tome 14 (2002) no. 7, pp. 15-26. http://geodesic.mathdoc.fr/item/MM_2002_14_7_a1/