Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions

DOI10.1016/j.matcom.2020.08.024OpenAlexW3083290945MaRDI QIDQ1998271

M. Shadi Mohamed, Mustapha Malek, Mohamed Wakrim, Nouh Izem, Mohammed Seaid

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.08.024

zbMATH Keywords

finite element methodpartition of unity methodradiative heat transferthermal boundary layersglass coolingRosseland model

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (2)

Computing enhancement of the nonlinear \(\mathrm{SP}_{\mathrm{N}}\) approximations of radiative heat transfer in participating material ⋮ Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media

Cites Work

• Unnamed Item
• Unnamed Item
• Time-independent hybrid enrichment for finite element solution of transient conduction-radiation in diffusive grey media
• An enriched finite element model with \(q\)-refinement for radiative boundary layers in glass cooling
• MHD visco-elastic fluid flow over a non-isothermal stretching sheet
• Transient analysis of sharp thermal gradients using coarse finite element meshes
• Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
• Numerical solvers for radiation and conduction in high temperature gas flows
• Multigrid Newton-Krylov method for radiation in diffusive semitransparent media
• The partition of unity finite element method: basic theory and applications
• A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
• An upper bound for the steady-state temperature for a class of heat conduction problems wherein the thermal conductivity is temperature dependent
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Wave boundary elements: a theoretical overview presenting applications in scattering of short waves
• A two-scale generalized finite element method for parallel simulations of spot welds in large structures
• Pollution studies for high order isogeometric analysis and finite element for acoustic problems
• Role of hybrid nanoparticles in thermal performance of Sutterby fluid, the ethylene glycol
• A partition of unity finite element method for three-dimensional transient diffusion problems with sharp gradients
• A discontinuous Galerkin method with Lagrange multipliers for spatially-dependent advection-diffusion problems
• A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials
• A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number
• A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions
• Dispersion analysis of plane wave discontinuous Galerkin methods
• Mixed enrichment for the finite element method in heterogeneous media
• SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS
• Iterative solvers for generalized finite element solution of boundary-value problems
• A higher-order discontinuous enrichment method for the solution of high péclet advection-diffusion problems on unstructured meshes
• The partition-of-unity method for linear diffusion and convection problems: accuracy, stabilization and multiscale interpretation
• The Ultra Weak Variational Formulation Using Bessel Basis Functions
• Time-dependent shape functions for modeling highly transient geothermal systems

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