Parallel FE approximation of the even/odd-parity form of the linear Boltzmann equation

Authors:
C. R. Drumm;J. Lorenz
Affiliations:
Radiation and Electromagnetic Analysis Department, Sandia National Laboratories P.O. Box 5800, Albuquerque, NM 87185-1166, U.S.A.;Department of Mathematics and Statistics University of New Mexico, Albuquerque, NM 87131, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2000

Citing 3
Cited 1

Applied numerical linear algebra

Applied numerical linear algebra
Least-Squares Finite-Element Solution of the Neutron Transport Equation in Diffusive Regimes

SIAM Journal on Numerical Analysis
Boundary value problems for transport equations

Boundary value problems for transport equations

Spatial discretizations for self-adjoint forms of the radiative transfer equations

Journal of Computational Physics

Quantified Score

Hi-index	0.99

Visualization

Abstract

A novel solution method has been developed to solve the linear Boltzmann equation on an unstructured triangular mesh. Instead of tackling the first-order form of the equation, this approach is based on the even/odd-parity form in conjunction with the conventional multigroup discrete-ordinates approximation. The finite element method is used to treat the spatial dependence. The solution method is unique in that the space-direction dependence is solved simultaneously, eliminating the need for the conventional inner iterations, and the method is well suited for massively parallel computers.