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 …

High performance computation of radiative transfer equation using the finite element method

MA Badri, P Jolivet, B Rousseau, Y Favennec - Journal of Computational …, 2018 - Elsevier
This article deals with an efficient strategy for numerically simulating radiative transfer
phenomena using distributed computing. The finite element method alongside the discrete …

A computational framework for predicting laminar reactive flows with soot formation

MRJ Charest, CPT Groth, ÖL Gülder - Combustion Theory and …, 2010 - Taylor & Francis
Numerical modeling is an attractive option for cost-effective development of new high-
efficiency, soot-free combustion devices. However, the inherent complexities of hydrocarbon …

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 …

Enhanced anisotropic block-based adaptive mesh refinement for three-dimensional inviscid and viscous compressible flows

L Freret, M Williamschen, CPT Groth - Journal of Computational Physics, 2022 - Elsevier
A parallel anisotropic block-based adaptive mesh refinement (AMR) algorithm is proposed
for the prediction of physically complex flow problems having disparate spatial and temporal …

3D numerical modelling of the propagation of radiative intensity through a X-ray tomographied ligament

D Le Hardy, MA Badri, B Rousseau, S Chupin… - Journal of Quantitative …, 2017 - Elsevier
In order to explain the macroscopic radiative behaviour of an open-cell ceramic foam,
knowledge of its solid phase distribution in space and the radiative contributions by this solid …

High-order central ENO finite-volume scheme for hyperbolic conservation laws on three-dimensional cubed-sphere grids

L Ivan, H De Sterck, A Susanto, CPT Groth - Journal of Computational …, 2015 - Elsevier
A fourth-order accurate finite-volume scheme for hyperbolic conservation laws on three-
dimensional (3D) cubed-sphere grids is described. The approach is based on a central …

A novel approach to calculate radiative thermal exchange in coupled particle simulations

T Forgber, S Radl - Powder Technology, 2018 - Elsevier
We present a novel algorithm to calculate radiative energy transfer rates in Discrete Element
Method (DEM)-based simulations of mono-disperse spheres. To verify our algorithm we use …

Specular reflection treatment for the 3D radiative transfer equation solved with the discrete ordinates method

D Le Hardy, Y Favennec, B Rousseau… - Journal of Computational …, 2017 - Elsevier
The contribution of this paper relies in the development of numerical algorithms for the
mathematical treatment of specular reflection on borders when dealing with the numerical …

A second-order maximum-entropy inspired interpolative closure for radiative heat transfer in gray participating media

JAR Sarr, CPT Groth - Journal of Quantitative Spectroscopy and Radiative …, 2020 - Elsevier
A new interpolative-based approximation to the second-order maximum-entropy, M 2,
moment closure for predicting radiative heat transfer in gray participating media is proposed …