Specular reflection treatment for the 3D radiative transfer equation solved with the discrete ordinates method
From MaRDI portal
Publication:1685271
DOI10.1016/J.JCP.2017.01.019zbMath1380.65379OpenAlexW2574191725MaRDI QIDQ1685271
Publication date: 13 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.01.019
finite elementsradiative transfer equationspecular reflectionstreamline-upwind Petrov-Galerkin (SUPG)discrete ordinates methods
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integro-partial differential equations (35R09)
Related Items (6)
Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: efficient assembly and preconditioning ⋮ High performance computation of radiative transfer equation using the finite element method ⋮ Radiative transfer in a fluid ⋮ Preconditioned Krylov subspace methods for solving radiative transfer problems with scattering and reflection ⋮ Accurate and efficient computation of the 3D radiative transfer equation in highly forward-peaked scattering media using a renormalization approach ⋮ The radiative transfer model for the greenhouse effect
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Optical tomography reconstruction algorithm with the finite element method: an optimal approach with regularization tools
- A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media
- Residual Monte Carlo high-order solver for moment-based accelerated thermal radiative transfer equations
- Solution of the equation of radiative transfer using a Newton-Krylov approach and adaptive mesh refinement
- Meshless method for solving coupled radiative and conductive heat transfer in complex multi-dimensional geometries
- Stability of the SUPG finite element method for transient advection-diffusion problems
- Finite element approximation of the radiative transport equation in a medium with piece-wise constant refractive index
- Space-dependent Sobolev gradients as a regularization for inverse radiative transfer problems
- A second order radiative transfer equation and its solution by meshless method with application to strongly inhomogeneous media
- On the radiative heat transfer in a semi-transparent medium enclosed in a cylindrical annulus of infinite length with specularly reflecting lateral surfaces
- A wavelet multi-scale method for the inverse problem of diffuse optical tomography
- A hybrid transport-diffusion Monte Carlo method for frequency-dependent radiative-transfer simulations
- Spatial discretizations for self-adjoint forms of the radiative transfer equations
- Finite element model for the coupled radiative transfer equation and diffusion approximation
- Numerical Methods in Multidimensional Radiative Transfer
- A Fast-Forward Solver of Radiative Transfer Equation
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Quadratures on a sphere
- Quasi-Newton methods in optical tomographic image reconstruction
- Analysis of a numerical solver for radiative transport equation
- New development in freefem++
- A Least-Squares Transport Equation Compatible with Voids
- Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
- Fast 2D non–LTE radiative modelling of prominences
This page was built for publication: Specular reflection treatment for the 3D radiative transfer equation solved with the discrete ordinates method
