Galerkin method for solving combined radiative and conductive heat transfer

Higher Order Continuous and Discontinuous Galerkin Methods for solving combined Conductive and Radiative Heat Transfer

This article deals with a numerical solution of combined radiation and conduction heat transfer in gray participating (non-scattering) medium in a two-dimensional domain using triangular meshes. The radiative transfer equation is solved using the high order Discontinuous Galerkin method with an upwind numerical flux. The energy balance equation is discretized with a high finite order element me...

Meshless method for solving coupled radiative and conductive heat transfer in complex multi-dimensional geometries

Keywords: Meshless method Coupled radiative–conductive transfer Discrete ordinates Even parity Complex geometries a b s t r a c t A meshless method DAM is employed to solve the coupled radiative and conductive heat transfer problem in a semi-transparent medium enclosed in complex 2D and 3D geome-tries. The meshless method for radiative transfer is based on the even parity formulation of the dis...

Optimization Iterative Procedure for Radiative-Conductive Heat Transfer Model

A boundary optimal control problem for radiative-conductive heat transfer model in a layered medium is considered. The problem consists in minimization of a given cost functional by controlling the boundary temperature. The solvability of this control problem is proved, and optimality conditions are derived. An iteration algorithm is proposed, and numerical experiments are performed.

Homogenization of a Conductive and Radiative Heat Transfer Problem

On Coupled Conductive-radiative Heat-transfer Problems in a Sphere

-A sphere-to-plane transformation technique and the spherical harmonics method are used, along with Hermite cubic splines, to define an iterative technique for solving a class of nonlinear radiative transfer problems in a sphere. Computational aspects of the technique are discussed, and the method is used to establish numerical results for several test problems. 1. I N T R O D U C T I O N In a ...