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Parallel solution of two-dimensional conjugated radiative-conductive heat transfer problem

Łapka P., Furmański P.

Turbulence : international journal

2007

Vol. 12

149-168

In this paper a two-dimensional conjugated heat transfer both by radiation and conduction in the thermal lightweight insulation layer was investigated. It was assumed that the radiation might be emitted, absorbed and isotropically scattered inside the gray medium. Its walls were opaque, absorbing, emitting and reflecting diffusively. The Alternating Direction Implicit Method and the Finite Volume Method were used for solution of heat conduction equation and radiative transfer equation, respectively. At first the problem was solved sequentially and then by applying the Domain Decomposition Method. Parallel calculations were carried out for two and four sub-domains. Influence of different factors on differences between the results obtained from the parallel computing and from the sequential calculations, on parallel computing efficiency as well as on number of iterations required for heat conduction equation to be effectively solved were studied in this paper.

Parallel computation of conjugated radiative-conductive heat transfer in thermal insulation layer

Łapka P., Furmański P.

Archives of Thermodynamics

2006

Vol. 27, no. 2

55-80

In this paper the parallel computing of conjugated heat transfer both by radiation and conduction in a two-dimensional lightweight thermal insulation layer was analysed. It was assumed that the medium can emit, absorb and isotropically scatter radiation. Its walls were opaque, absorbing, emitting and reflecting diffusively. At first, the problem was numerically solved by carrying out the sequential calculations. The radiative transfer equation was discretised by the Finite Volume Method. For the heat conduction equation the Alternating Direction Implicit Method was applied. Next the Domain Decomposition Method was used to perform the parallel calculations by dividing the whole domain into two and four sub-domains. Influence of different factors on differences between the results obtained from the parallel computing and from the sequential calculations were studied. Finally, the parallel computing speed up and efficiency were analysed together with factors affecting them.