Unified discontinuous Galerkin finite-element framework for transient conjugated radiation-conduction heat transfer
CH Wang, XY Zhang, CC Pan, ZY Jiang - Physical Review E, 2023 - APS
Research on conjugated radiation-conduction (CRC) heat transfer in participating media is
of vital scientific and engineering significance due to its extensive applications. Appropriate …
of vital scientific and engineering significance due to its extensive applications. Appropriate …
Angular-spatial discontinuous Galerkin method for radiative heat transfer with a participating medium in complex three-dimensional geometries
The angular-spatial discontinuous Galerkin method (ASDGM) is a numerical technique
developed to solve the radiative transfer equation (RTE) in complex three-dimensional …
developed to solve the radiative transfer equation (RTE) in complex three-dimensional …
Conductive-radiative heat transfer within SiC-based cellular ceramics at high-temperatures: A discrete-scale finite element analysis
MA Badri, Y Favennec, P Jolivet, B Rousseau - Finite Elements in Analysis …, 2020 - Elsevier
Cellular ceramic materials possess many favorable properties that allow to develop efficient
modern-day high-temperature thermal energy conversion systems and processes. The …
modern-day high-temperature thermal energy conversion systems and processes. The …
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 …
transfer equation (RTE) is challenging. Most solvers are efficient in specific scenarios …
Radiative, conductive and laminar convective coupled heat transfer analysis of molten salts based on finite element method
Radiative transfer is the dominant mode of heat transfer at high temperature for an
absorbing-scattering media. Due to the complex solving of radiative transfer equation …
absorbing-scattering media. Due to the complex solving of radiative transfer equation …
On the diffusive limits of radiative heat transfer system I: Well-prepared initial and boundary conditions
M Ghattassi, X Huo, N Masmoudi - SIAM Journal on Mathematical Analysis, 2022 - SIAM
We study the diffusive limit approximation for a nonlinear radiative heat transfer system that
arises in the modeling of glass cooling and greenhouse effects and in astrophysics. The …
arises in the modeling of glass cooling and greenhouse effects and in astrophysics. The …
Auxiliary physics-informed neural networks for forward, inverse, and coupled radiative transfer problems
In this paper, we develop and employ auxiliary physics-informed neural networks (APINNs)
to solve forward, inverse, and coupled integrodifferential problems of radiative transfer …
to solve forward, inverse, and coupled integrodifferential problems of radiative transfer …
Defect model modification method for thermal protection system with surface heat flux identification
Thermal protection systems (TPS) have become a key issue in ensuring the reliability of
hypersonic flights. Aimed at monitoring the thermal loads and possible defects for TPS, a …
hypersonic flights. Aimed at monitoring the thermal loads and possible defects for TPS, a …
[HTML][HTML] Existence and uniqueness of a transient state for the coupled radiative–conductive heat transfer problem
M Ghattassi, JR Roche, D Schmitt - Computers & Mathematics with …, 2018 - Elsevier
This paper deals with existence and uniqueness results for a transient nonlinear radiative–
conductive system in three-dimensional case. This system describes the heat transfer for a …
conductive system in three-dimensional case. This system describes the heat transfer for a …
Reduced order observer of finite dimensional radiative-conductive heat transfer systems
M Ghattassi, M Boutayeb, JR Roche - SIAM Journal on Control and …, 2018 - SIAM
This article deals with a finite dimensional reduced order state observer for a class of
nonlinear partial differential equations (PDEs) described by a radiative transfer equation …
nonlinear partial differential equations (PDEs) described by a radiative transfer equation …