Variational Derivation of Discrete Ordinate-Like Approximations

Natelson, M.

doi:10.13182/nse71-a21261

Cited by 24 publications

(6 citation statements)

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“…Two classical benchmarks (see [Na71], [KaStSc79]) are now presented, where the A N model is solved with different numerical schemes. Figure 3.1 shows the computational domain of the IAEA-EIR2 benchmark, whose cross sections and source terms are reported in Table 3.1.…”

Section: Comparison Of Numerical Resultsmentioning

confidence: 99%

Integral Methods in Science and Engineering

2013

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Section: Comparison Of Numerical Resultsmentioning

confidence: 99%

Integral Methods in Science and Engineering

2013

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“…The first problem is the one-group two region system given by Natelson [33], where the system is a square of side length 3 cm and there is a neutron source The geometry of Natelson's problem [33] outer boundaries.…”

Section: Results and Comparisons For X-y Geometrymentioning

confidence: 99%

“…In this problem, a mesh with of 0.05 cm was used for both x-and y-coordinates, and the convergence criteria applied on the outer iterations was 10The scadar fluxes of Sg, Pj [34], [33], SKi, SK2 and SK^ along the line y=0 are shown in The third problem is a square absorbing medium with three reflecting bound aries. The geometry, dimensions as well as the source strength and its location are the same as the second problem.…”

Section: Results and Comparisons For X-y Geometrymentioning

confidence: 99%

“…The fourth problem was originally set by Natelson [33]. It is a more prac tical problem which represents an idealized pressurized water reactor (PWR) cell problem (Fig 6.6).…”

Section: Results and Comparisons For X-y Geometrymentioning

confidence: 99%

“…In solution of problems 4 and 5, a 47x47 mesh configuration were used. The results are compared against Natelson's DIQ [33], and Inanç'is [35] …”

Section: Results and Comparisons For X-y Geometrymentioning

confidence: 99%

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The SK(N) approximation: a new method for solving integral transport equations

Altaç

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Altac, Zekeriya, "The SK(N) approximation: a new method for solving integral transport equations " (1989 INFORMATION TO USERSThe most advanced technology has been used to photo graph and reproduce this manuscript from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer, jirinter.The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction.In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion.Oversize materials (e.g., maps, drawings, charts) are re produced by sectioning the original, beginning at the upper left-hand corner and continuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book. These are also available as one exposure on a standard 35mm slide or as a 17" x 23" black and white photographic print for an additional charge.

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