Research on conjugated radiation-conduction (CRC) heat transfer in participating media is
of vital scientific and engineering significance due to its extensive applications. Appropriate …

The angular-spatial discontinuous Galerkin method (ASDGM) is a numerical technique
developed to solve the radiative transfer equation (RTE) in complex three-dimensional …

Cellular ceramic materials possess many favorable properties that allow to develop efficient
modern-day high-temperature thermal energy conversion systems and processes. The …

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 …

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 …

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 …

In this paper, we develop and employ auxiliary physics-informed neural networks (APINNs)
to solve forward, inverse, and coupled integrodifferential problems of radiative transfer …

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 …

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 …

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 …