Augmented weighted diamond form of the linear nodal scheme for Cartesian coordinate systems

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The equations of the high order linear nodal numerical scheme are cast in an augmented weighted difference form for three-dimensional Cartesian nodes. The coupling exhibited by these equations indicate that this new algorithm is simpler and hence faster than previous nodal schemes of this degree of accuracy. A well-logging problem and a fast reactor problem are examined. The new scheme developed here is compared with the classical linear-linear nodal scheme and the diamond difference scheme. For the well-logging problem, it is found that the new scheme is both faster and simpler than the classical linear-linear nodal scheme while sacrificing little ... continued below

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Pages: 10

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Walters, W.F. January 1, 1985.

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Description

The equations of the high order linear nodal numerical scheme are cast in an augmented weighted difference form for three-dimensional Cartesian nodes. The coupling exhibited by these equations indicate that this new algorithm is simpler and hence faster than previous nodal schemes of this degree of accuracy. A well-logging problem and a fast reactor problem are examined. The new scheme developed here is compared with the classical linear-linear nodal scheme and the diamond difference scheme. For the well-logging problem, it is found that the new scheme is both faster and simpler than the classical linear-linear nodal scheme while sacrificing little in accuracy. Even though the new scheme is more accurate than the diamond difference scheme for the reactor problem, the results indicate that state of the art acceleration methods are needed for nodal schemes.

Physical Description

Pages: 10

Notes

NTIS, PC A02/MF A01; 1.

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  • International meeting on advances in nuclear engineering computational methods, Knoxville, TN, USA, 9 Apr 1985

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  • Other: DE85005631
  • Report No.: LA-UR-84-3927
  • Report No.: CONF-850411-3
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 5918689
  • Archival Resource Key: ark:/67531/metadc1095236

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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Creation Date

  • January 1, 1985

Added to The UNT Digital Library

  • Feb. 18, 2018, 3:59 p.m.

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  • May 21, 2018, 7:03 p.m.

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Walters, W.F. Augmented weighted diamond form of the linear nodal scheme for Cartesian coordinate systems, article, January 1, 1985; New Mexico. (digital.library.unt.edu/ark:/67531/metadc1095236/: accessed October 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.