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 …

Method of characteristics for 3D, full-core neutron transport on unstructured mesh

DR Gaston, B Forget, KS Smith, LH Harbour… - Nuclear …, 2021 - Taylor & Francis
A myriad of nuclear reactor designs are currently being considered for next-generation
power production. These designs utilize unique geometries and materials and can rely on …

Nonsymmetric reduction-based algebraic multigrid

TA Manteuffel, S Münzenmaier, J Ruge… - SIAM Journal on …, 2019 - SIAM
Algebraic multigrid (AMG) is often an effective solver for symmetric positive definite (SPD)
linear systems resulting from the discretization of general elliptic PDEs or the spatial …

MPI-CUDA sparse matrix–vector multiplication for the conjugate gradient method with an approximate inverse preconditioner

G Oyarzun, R Borrell, A Gorobets, A Oliva - Computers & Fluids, 2014 - Elsevier
The preconditioned conjugate gradient (PCG) is one of the most prominent iterative methods
for the solution of sparse linear systems with symmetric and positive definite matrix that …

A parallel algorithm for the Riesz fractional reaction-diffusion equation with explicit finite difference method

C Gong, W Bao, G Tang - Fractional Calculus and Applied Analysis, 2013 - degruyter.com
The fractional reaction-diffusion equations play an important role in dynamical systems.
Indeed, it is time consuming to numerically solve differential fractional diffusion equations. In …

High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes

M Zhang, J Cheng, J Qiu - Journal of Computational Physics, 2019 - Elsevier
It is an important and challenging issue for the numerical solution of radiative transfer
equations to maintain both high order accuracy and positivity. For the two-dimensional …

Three dimensional heat transfer analysis of combined conduction and radiation in honeycomb transparent insulation

H Kessentini, R Capdevila, J Castro, A Oliva, C Bouden - Solar energy, 2014 - Elsevier
In this work a three dimensional heat transfer analysis of honeycomb Transparent Insulation
Materials (TIM) destined for improving the efficiency of flat plate solar collectors is performed …

Adaptive search strategy based chemical reaction optimization scheme for task scheduling in discrete multiphysical coupling applications

X Xiao, C Li, B Jiang, Q Cai, K Li, Z Tang - Applied Soft Computing, 2022 - Elsevier
Parallel computing problems of multiphysical coupling applications based on discrete grids
can be equivalently transformed into parallel computing problems based on a directed …

Numerical modelling of a parabolic trough solar collector

AA Hachicha - 2013 - upcommons.upc.edu
Concentrated Solar Power (CSP) technologies are gaining increasing interest in electricity
generation due to the good potential for scaling up renewable energy at the utility level …

The collocation spectral method with domain decomposition for radiative heat transfer in two-dimensional enclosures

RR Zhou, YS Sun, BW Li - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, the collocation spectral method (CSM) combined with domain decomposition
method is developed to solve the radiative transfer equation in two-dimensional irregular …