Numerical Simulation of Radiative Transfer

Hong-Liang Yi,Subhash C Mishra,Yong Huang,Denis Lemonnier,Pedro Coelho,Qun-Zhi Zhu

doi:10.1155/2015/827042

Abstract

1School of Energy Science and Engineering, Harbin Institute of Technology, 92 West Dazhi Street, Harbin 150001, China 2The Department of Mechanical Engineering, Indian Institute of Technology, Guwahati 781037, India 3School of Aeronautical Science and Engineering, Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing 100191, China 4School of Energy & Environment Engineering, Shanghai University of Electric Power, 2103 Ping Liang Road, Shanghai 200090, China 5The Department of Mechanical Engineering, University of Lisbon, 1049-001 Lisbon, Portugal 6The Institut Pprime, CNRS-ENSMA, 86961 Futuroscope Chasseneuil Cedex, France

Highlights

It is very difficult to obtain analytical solutions of radiative transfer, and numerical simulation is becoming a powerful tool in the study of radiative transfer
A reproducing kernel particle method is developed for radiative heat transfer in 1D participating media; a dynamic region Monte Carlo method (DRMC) is proposed to simulate radiative heat transfer, and by DRMC the computing time and storage capacity under the same solution precision for radiative transfer in optically thick medium are reduced obviously; in zonal method the reduced integration scheme (RIS) is further extended to calculate direct exchange areas (DEAs) of a 3D rectangular system with nonscattering media, and by RIS the singularities of DEAs can be decomposed and weakened obviously
A maximum a posteriori (MAP) estimation based on Bayesian framework is applied to image reconstruction of two-dimensional highly scattering inhomogeneous medium, and the finite difference method and conjugate gradient algorithm are served as the forward and inverse solving schemes; the standard particle swarm optimization, the stochastic particle swarm optimization, and the hybrid differential evolution-particle swarm optimization are applied to solve the inverse transient radiation problem in 2D turbid media irradiated by the short pulse laser, and the time-resolved radiative signals simulated by finite volume method are regarded as input data for the inverse analysis

Summary

Introduction

Mishra,2 Yong Huang,3 Qun-Zhi Zhu,4 Pedro Coelho,5 and Denis Lemonnier6 Radiative transfer is an important or a dominant mode of energy transport in the nature and many applications such as light propagation through a turbulent atmosphere or biological tissue, heat transfer in high-temperature participating media, combustion process, neutron transport, optical tomography, laser interaction with matter, energy transport in plasma, and stellar atmospheres.

Results

Conclusion