A DIFFUSION-SYNTHETIC ACCELERATION TECHNIQUE FOR THE EVEN-PARITY S-N EQUATIONS WITH ANISOTROPIC SCATTERING Academic Article

abstract

• A source iteration scheme and associated diffusion-synthetic acceleration scheme are defined for the even-parity Snequations with anisotropic scattering. The spatially analytic versions of these schemes are shown to be completely equivalent to their counterparts for the first-order form of the equations. Thus, in the limit as the spatial mesh is refined, each even-parity iteration scheme must asymptotically converge at the same rate as its first-order counterpart. The equivalence of the even-parity and first-order source iteration processes implies that any synthetic acceleration scheme for the first-order Snequations has an even-parity counterpart that is equivalent for the spatially analytic case. Theoretical and computational results are given that demonstrate the properties of the even-parity source iteration and diffusion-synthetic acceleration schemes.

authors

• Morel, Jim

published proceedings

• NUCLEAR SCIENCE AND ENGINEERING

author list (cited authors)

• MOREL, J. E., & MCGHEE, J. M.

citation count

• 7

complete list of authors

• MOREL, JE||MCGHEE, JM

publication date

• July 1995

publisher

• Taylor & Francis  Publisher

published in

• Nuclear Science and Engineering  Journal

keywords

• 40 Engineering
• 4006 Communications Engineering

Digital Object Identifier (DOI)

• 10.13182/NSE95-A24116

start page

• 147

end page

• 164

volume

• 120

issue

• 3

URL

• http://dx.doi.org/10.13182/nse95-a24116