Radiative Heat Transfer in Participating Medium and Dynamic Region Monte Carlo Method by Region Adaption

Qing Ai,Xinlin Xia,Chuang Sun,Ming Xie,Hua Liu

doi:10.1155/2015/304708

Qing Ai, Xinlin Xia + Show 3 more

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https://doi.org/10.1155/2015/304708

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Abstract

A dynamic region Monte Carlo method (DRMC) is proposed to simulate radiative heat transfer in participating medium. The basic principle and solution procedure of this method is described; radiative heat transfer in a two-dimensional rectangular region of absorbing, emitting, and/or scattering gray medium is analyzed. A comparison between DRMC and the traditional Monte Carlo method (TMC) is investigated by analyzing the simulated temperature distribution, the computing time, and the number of the sampling bundles. The investigation results show that, to compare with TMC, the DRMC can obviously reduce the computing time and storage capacity under the same solution precision for radiative transfer in optically thick medium; the DRMC allows bypassing the difficulties encountered by TMC in the limit of optically thick extinction.

Highlights

Radiative heat transfer plays an important role in heat transfer process, especially in some high temperature applications
Computing time 86 min and 36 s 58 min and 09 s 41 min and 15 s 37 min and 12 s 31 min and 55 s 28 min and 52 s 25 min and 36 s In Figure 4(b), when the subdomain thickness decreased to τz = 3, the temperature field predicted by dynamic region Monte Carlo method (DRMC) of different boundary domain basically agrees with the final numerical solution, the deviation increases with the reduction of τb, and the maximum deviation does not exceed 0.29%
The predicted radiative equilibrium temperature fields by DRMC are in good agreement with the final numerical solution; this indicates that our DRMC model is creditable

Summary

Introduction

Radiative heat transfer plays an important role in heat transfer process, especially in some high temperature applications. The Monte Carlo (MC) method has been widely used to numerically simulate radiative heat transfer in participating medium [2]; because of the flexibility of this method, it is known to be very good in dealing with radiative heat transfer with complex geometries and/or complex spectral properties; in addition, due to the high solution precision of this method, the MC predicted results are usually regarded as benchmark solutions [3, 4]. More grid numbers are needed in optically thick medium in order to get high precision solutions. The TMC method would face the difficulties of long computing time, large storage capacity, and the handicap of optically thick limit when simulating radiative transfer in participating medium [6, 7]

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