Acceleration of the nonlinear corner-balance scheme by the averaged flux method

abstract

• Recently, several nonlinear spatial discretization methods have been developed for the linear Boltzmann transport equation. One of these is the highly accurate nonlinear corner-balance (NLCB) method, which yields a strictly positive solution. Because the discrete NLCB scheme is algebraically nonlinear, special iterative methods are needed to solve it efficiently. In this paper, we describe a fast new iterative algorithm, based on the nonlinear averaged flux method, for solving the discrete NLCB equations. We present numerical results that illustrate the efficiency of the new algorithm. 1997 Academic Press.

authors

• Adams, Marvin

published proceedings

• JOURNAL OF COMPUTATIONAL PHYSICS

author list (cited authors)

• Anistratov, D. Y., Adams, M. L., & Larsen, E. W.

citation count

• 1

complete list of authors

• Anistratov, DY||Adams, ML||Larsen, EW

publication date

• July 1997

publisher

• Elsevier  Publisher

published in

• Journal of Computational Physics  Journal

Digital Object Identifier (DOI)

• 10.1006/jcph.1997.5735

start page

• 66

end page

• 75

volume

• 135

issue

• 1

URL

• http://dx.doi.org/10.1006/jcph.1997.5735