A hybrid finite volume / finite element method was developed a few years ago to solve the radiative transfer equation. In this method, the radiation intensity is approximated as a linear combination of basis functions, dependent only on the angular direction. The coefficients of the approximation are unknown functions of the spatial coordinates. This Galerkin-like approximation is introduced in...

In this work we investigate the use of Analytical Discrete Ordinates (ADO) method when solving spectral approximation nonclassical transport equation. The is a recently developed based on representation angular flux as series Laguerre polynomials. This generates, outcome, system equations that have form classical and can therefore be solved by current deterministic algorithms. Thus, investigati...

Radiation characteristics of fused quartz containing bubbles (10 % porosity) are determined using inverse method based on theoretical and experimental bi-directional transmittances and reflectances. The Discrete Ordinates Method is used to solve the RTE. The internal and external interfaces are assumed to be optically smooth. The importance of the choice of the interpolation law has been shown,...

A Spatial Multigrid Iterative Method for Two-Dimensional Discrete-Ordinates Transport Problems. (May 2005) Brian David Lansrud, B.S., Texas A&M University; B.S., Texas A&M University Chair of Advisory Committee: Dr. Marvin L. Adams Iterative solutions of the Boltzmann transport equation are computationally intensive. Spatial multigrid methods have led to efficient iterative algorithms for solvi...

A new algorithm for modeling radiative transfer in inhomogeneous three-dimensional media is described. The spherical harmonics discrete ordinate method uses a spherical harmonic angular representation to reduce memory use and time computing the source function. The radiative transfer equation is integrated along discrete ordinates through a spatial grid to model the streaming of radiation. An a...

The Boltzmann Transport Equation (BTE) for phonons has found prolific use for the prediction of non-equilibrium heat conduction phenomena in semiconductor materials. This article presents a new hybrid formulation and associated numerical procedures for solution of the BTE for phonons. In this formulation, the phonon intensity is first split into two components: ballistic and diffusive. The gove...