Open AccessNew lattice Boltzmann method for the simulation of three-dimensional radiation transfer in turbid media
Author(s) -
Christopher McHardy,
Tobias Horneber,
Cornelia Rauh
Publication year - 2016
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.24.016999
Subject(s) - discretization , lattice boltzmann methods , physics , scattering , monte carlo method , computational physics , optics , boltzmann equation , direct simulation monte carlo , isotropy , monte carlo method for photon transport , mie scattering , photon , linearization , statistical physics , light scattering , dynamic monte carlo method , mathematical analysis , nonlinear system , mechanics , mathematics , quantum mechanics , statistics
Based on the kinetic theory of photons, a new lattice Boltzmann method for the simulation of 3D radiation transport is presented. The method was successfully validated with Monte Carlo simulations of radiation transport in optical thick absorbing and non-absorbing turbid media containing either isotropic or anisotropic scatterers. Moreover, for the approximation of Mie-scattering, a new iterative algebraic approach for the discretization of the scattering phase function was developed, ensuring full conservation of energy and asymmetry after discretization. It was found that the main error sources of the method are caused by linearization and ray effects and suggestions for further improvement of the method are made.