A generalized nodal finite element formalism for discrete ordinates equations in slab geometry: Part III: Numerical results

E. del Valle, J. P. Hennart

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In companion papers (hereafter referred to as Part I and Part II), we described a generalized nodal finite element formalism, including practically all existing numerical schemes for solving the discrete ordinates equations in slab geometry. General discrete (or cell-edge) and continuous convergence orders as well as convergence orders for moments of the approximations were proved in several theorems given in Part I and II and they are verified here using a model problem. Finally the methods described in Part I and II are applied to some non-model problems. © 1995, Taylor & Francis Group, LLC. All rights reserved.
Original languageAmerican English
Pages (from-to)505-533
Number of pages451
JournalTransport Theory and Statistical Physics
DOIs
StatePublished - 1 Apr 1995
Externally publishedYes

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Discrete Ordinates
Convergence Order
slabs
mathematics
Finite Element
formalism
Numerical Results
A.s. Convergence
Geometry
geometry
Numerical Scheme
theorems
Moment
moments
Cell
Approximation
cells
approximation
Theorem
Group

Cite this

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