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

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

Sheila Edalatpour
Dept. of Mechanical Engineering, University of Utah, USA

Martin Cuma
Center for High Performance Computing, University of Utah, USA

Tyler Trueax
Dept. of Mechanical Engineering, University of Utah, USA

Roger Backman
Dept. of Mechanical Engineering, University of Utah, USA

Mathieu Francoeur
Dept.of Mechanical Engineering, University of Utah; and Radiative Transfer Laboratory,Dept. of Mechanical Engineering,University of Kentucky, USA; and Département de Génie Mécanique, Université Laval, Québec, G1K 7P4, Canada

Resumo

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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