An hybrid finite volume–finite element method for variable density incompressible flows
This paper is devoted to the numerical simulation of variable density incompressible flows,
modeled by the Navier–Stokes system. We introduce an hybrid scheme which combines a …
modeled by the Navier–Stokes system. We introduce an hybrid scheme which combines a …
Non-Boussinesq convection in a square cavity with surface thermal radiation
The interaction of natural convection with surface radiation in a differentially heated square
cavity filled with air is considered under large temperature differences. The study has been …
cavity filled with air is considered under large temperature differences. The study has been …
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation radiation model at low Mach number
S Jiang, Q Ju, Y Liao - SIAM Journal on Mathematical Analysis, 2021 - SIAM
We rigorously show the nonequilibrium-diffusion limit of the compressible Euler-P1
approximation model arising in radiation hydrodynamics as the Mach number tends to zero …
approximation model arising in radiation hydrodynamics as the Mach number tends to zero …
Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media
We investigate the effectiveness of the partition-of-unity finite element method for transient
conduction–radiation problems in diffusive grey media. The governing equations consist of a …
conduction–radiation problems in diffusive grey media. The governing equations consist of a …
Critical assessment of numerical algorithms for convective-radiative heat transfer in enclosures with different geometries
The present work elucidates a comparative analysis to investigate the discrepancies
between the incompressible and low Mach number approximations for numerically solving …
between the incompressible and low Mach number approximations for numerically solving …
An enriched finite element model with q-refinement for radiative boundary layers in glass cooling
Radiative cooling in glass manufacturing is simulated using the partition of unity finite
element method. The governing equations consist of a semi-linear transient heat equation …
element method. The governing equations consist of a semi-linear transient heat equation …
The influence of partitions on predicting heat transfer due to the combined effects of convection and thermal radiation in cubical enclosures
The present work numerically investigates the influence of partitions on buoyancy induced
convection with thermal radiation in a differentially heated cubical enclosure. Four distinct …
convection with thermal radiation in a differentially heated cubical enclosure. Four distinct …
Diffusion limits in a model of radiative flow
B Ducomet, Š Nečasová - ANNALI DELL'UNIVERSITA'DI FERRARA, 2015 - Springer
We consider asymptotic regimes for a simplified model of compressible Navier–Stokes-
Fourier system coupled to the radiation, when the radiative intensity is driven either to …
Fourier system coupled to the radiation, when the radiative intensity is driven either to …
A consistent approach for the coupling of radiation and hydrodynamics at low Mach number
B Dubroca, M Seaïd, I Teleaga - Journal of Computational Physics, 2007 - Elsevier
We present a consistent numerical model for coupling radiation to hydrodynamics at low
Mach number. The hydrodynamical model is based on a low-Mach asymptotic in the …
Mach number. The hydrodynamical model is based on a low-Mach asymptotic in the …
Low Mach number limit for a model of radiative flow
B Ducomet, Š Nečasová - Journal of Evolution equations, 2014 - Springer
We consider a simplified model of compressible Navier–Stokes–Fourier coupled to the
radiative transfer equation introduced by Seaïd, Teleaga and al., and we study its low Mach …
radiative transfer equation introduced by Seaïd, Teleaga and al., and we study its low Mach …