Discontinuous Least-Squares Spatial Discretization Schemes for the One-Dimensional Slab-Geometry S_n Equations Academic Article

abstract

• We derive three new linear-discontinuous least-squares discretizations for the S n equations in one-dimensional slab geometry. Standard least-squares methods are not compatible with discontinuous trial spaces, and they are also generally not conservative. Our new methods are unique in that they are based upon a least-squares minimization principle, use a discontinuous trial space, are conservative, and retain the structure of standard Sn spatial discretization schemes. To our knowledge, conservative leastsquares spatial discretization schemes have not previously been developed for the S n equations. We compare our new methods both theoretically and numerically to the linear-discontinuous Galerkin method and the lumped linear-discontinuous Galerkin method. We find that one of our schemes is clearly superior to the other two and offers certain advantages over both of the Galerkin schemes.

authors

• Morel, Jim

published proceedings

• NUCLEAR SCIENCE AND ENGINEERING

author list (cited authors)

• Zhu, L., & Morel, J. E.

citation count

• 0

complete list of authors

• Zhu, Lei||Morel, Jim E

publication date

• March 2010

publisher

• Taylor & Francis  Publisher

published in

• Nuclear Science and Engineering  Journal

keywords

• 40 Engineering
• 4006 Communications Engineering

Digital Object Identifier (DOI)

• 10.13182/NSE08-67

start page

• 205

end page

• 220

volume

• 164

issue

• 3

URL

• http://dx.doi.org/10.13182/nse08-67