A multigrid discrete-ordinates solution for isotropic transport equation

A spatial multigrid iterative method for two-dimensional discrete-ordinates transport problems

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...

Hybrid discrete ordinates - spherical harmonics solution to the Boltzmann Transport Equation for phonons for non-equilibrium heat conduction

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...

A Discrete-Ordinates Solution for HeatTransfer in a Plane Channel

A recently established version of the discrete-ordinates method is used to develop a solution to a class of problems in the theory of rarefied-gas dynamics where temperature and density effects are coupled. In particular, accurate solutions for the temperature perturbation, the density perturbation, and the heat flux are developed and evaluated for the flow, described by the Bhatnagar, Gross, a...

UWFDM-846 Discrete Ordinates Solution of the Time Dependent Radiation Transport Equation on a Distributed Network of UNIX Workstations

The radiation transport equation is solved using the Sn method on an adaptive mesh. The solution is performed in parallel on a network of workstations, communicating with each other using message passing. Analytical speedup estimates are formulated for the calculations and compared with measured speedups. Speedups of 1.83 and 2.97 are achieved on two and four processors, respectively. Finally, ...

On discontinuous Galerkin and discrete ordinates approximations for neutron transport equation and the critical eigenvalue