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Proceedings of CHT-15. 6th International Symposium on ADVANCES IN COMPUTATIONAL HEAT TRANSFER
May, 25-29, 2015, Rutgers University, New Brunswick, NJ, USA

DOI: 10.1615/ICHMT.2015.IntSympAdvComputHeatTransf


ISBN Print: 978-1-56700-429-8

ISSN: 2578-5486

COMPUTATIONAL NEAR-FIELD RADIATIVE HEAT TRANSFER: CONVERGENCE ANALYSIS OF THE THERMAL DISCRETE DIPOLE APPROXIMATION USING THE EXACT SOLUTION FOR TWO SPHERES

pages 352-355
DOI: 10.1615/ICHMT.2015.IntSympAdvComputHeatTransf.290
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SINOPSIS

The thermal discrete dipole approximation (T-DDA) is a numerical method for modeling near-field thermal radiation problems. In this work, the convergence of the T-DDA is investigated using the exact solution for two spheres separated by a vacuum gap. The results suggest that for a fixed number of sub-volumes, increasing the refractive index and/or the size parameter as well as decreasing the separation gap degrade the accuracy of the T-DDA. A non-uniform discretization scheme is proposed to accelerate the convergence of the T-DDA. Errors smaller than 5% are obtained for 13 out of 18 sets of simulations using up to 77196 sub-volumes. Resonant modes dominating heat transfer in the near field are predicted via the T-DDA with an error smaller than 4.10%.

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