Premium
Similarity of Field Quantities in Scaled Radiation Transfer Lattice Boltzmann Simulations (RT‐LBM)
Author(s) -
McHardy Christopher,
Becker Deborah,
Rauh Cornelia
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800195
Subject(s) - lattice boltzmann methods , similarity (geometry) , radiation , statistical physics , boltzmann equation , grid , lattice (music) , computation , boltzmann constant , collision , self similarity , computer science , physics , mathematics , mechanics , algorithm , thermodynamics , geometry , optics , artificial intelligence , acoustics , computer security , image (mathematics)
The lattice Boltzmann framework provides a powerful tool to solve radiation transfer problems in participating media. Thereby, tuning of the collision rate to the numerical time step is necessary to ensure accurate solutions. One way of doing this is to scale the radiation characteristics of the medium by means of similarity relations. In the present contribution radiation characteristics of participating media are scaled to the numerical grid by means of the similarity relations to tune the accuracy of a recently proposed RT‐LBM. A free parameter was introduced and its effect on the solution is investigated. Also, the similarity of higher order angular moments is studied. The results show that conservation of the transport mean free path ensures the similarity of solutions.