Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media

PJ Coelho - Journal of Quantitative spectroscopy and Radiative …, 2014 - Elsevier
Many methods are available for the solution of radiative heat transfer problems in
participating media. Among these, the discrete ordinates method (DOM) and the finite …

Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: Efficient assembly and preconditioning

P Jolivet, MA Badri, Y Favennec - Journal of Computational Physics, 2021 - Elsevier
Due to its integro-differential nature, deriving schemes for numerically solving the radiative
transfer equation (RTE) is challenging. Most solvers are efficient in specific scenarios …

Meshless method for solving radiative transfer problems in complex two-dimensional and three-dimensional geometries

CA Wang, H Sadat, V Ledez, D Lemonnier - International Journal of …, 2010 - Elsevier
A meshless method is presented to solve the radiative transfer equation in complex 2D and
3D geometries. In order to avoid numerical oscillations, the even parity formulation of the …

Tomography-based pore level analysis of combined conductive-radiative heat transfer in an open-cell metallic foam

C Fan, XL Li, XL Xia, C Sun - International Journal of Heat and Mass …, 2020 - Elsevier
Open-cell metallic foams are increasingly used in various thermal systems. The temperature
distributions are significant for the comprehensive understanding of the foam-based …

Ray effect mitigation through reference frame rotation

J Tencer - Journal of Heat Transfer, 2016 - asmedigitalcollection.asme.org
The discrete ordinates method is a popular and versatile technique for solving the radiative
transport equation, a major drawback of which is the presence of ray effects. Mitigation of ray …

Multiple scattering of light transmission in a smoke layer

S Li, X Cheng, P Mei, S Lu, H Yang, H Zhang - Optik, 2014 - Elsevier
The visibility in a fire scene decreases because of the existence of smoke produced by the
flammable materials. With the growth of smoke concentration, the relationship between light …

Modified finite-volume method based on a cell vertex scheme for the solution of radiative transfer problems in complex 3D geometries

L Trovalet, G Jeandel, PJ Coelho, F Asllanaj - Journal of Quantitative …, 2011 - Elsevier
A modified finite-volume method based on a cell vertex scheme was applied to solve
radiative transfer problems within a participating medium of complex three-dimensional …

Transmission Characteristics of Terahertz Imaging Detection in Smoke Environments

D Zhang, J Qu, Y Ouyang, S Li, Y Song - Fire Technology, 2022 - Springer
The terahertz imaging detection technology is applied to low-visibility fire environments to
improve the traditional imaging detection equipment affected by the changes in the …

A comparison of angular discretization techniques for the radiative transport equation

J Tencer - ASME International Mechanical …, 2015 - asmedigitalcollection.asme.org
Two of the most popular deterministic radiation transport methods for treating the angular
dependence of the radiative intensity for heat transfer: the discrete ordinates and simplified …

Error analysis for radiation transport

JT Tencer - 2013 - repositories.lib.utexas.edu
All relevant sources of error in the numerical solution of the radiative transport equation are
considered. Common spatial discretization methods are discussed for completeness. The …