Fully-coupled solution of pressure-linked fluid flow equations

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A robust and efficient numerical scheme has been developed for the solution of the finite-differenced pressure linked fluid flow equations. The algorithm solves the set of nonlinear simultaneous equations by a combination of Newton's method and efficient sparse matrix techniques. In tests on typical recirculating flows the method is rapidly convergent. The method does not require any under-relaxation or other convergence-enhancing techniques employed in iterative schemes. It is currently described for two-dimensional steady state flows but is extendible to three dimensions and mildly time-varying flows. The method is robust to changes in Reynolds number, grid aspect ratio, and mesh size. ... continued below

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Pages: 36

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Vanka, S.P. & Leaf, G.K. August 1, 1983.

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Description

A robust and efficient numerical scheme has been developed for the solution of the finite-differenced pressure linked fluid flow equations. The algorithm solves the set of nonlinear simultaneous equations by a combination of Newton's method and efficient sparse matrix techniques. In tests on typical recirculating flows the method is rapidly convergent. The method does not require any under-relaxation or other convergence-enhancing techniques employed in iterative schemes. It is currently described for two-dimensional steady state flows but is extendible to three dimensions and mildly time-varying flows. The method is robust to changes in Reynolds number, grid aspect ratio, and mesh size. This paper reports the algorithm and the results of calculations performed.

Physical Description

Pages: 36

Notes

NTIS, PC A03/MF A01.

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  • Other: DE83017989
  • Report No.: ANL-83-73
  • Grant Number: W-31-109-ENG-38
  • DOI: 10.2172/5646007 | External Link
  • Office of Scientific & Technical Information Report Number: 5646007
  • Archival Resource Key: ark:/67531/metadc1092282

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Office of Scientific & Technical Information Technical Reports

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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

  • August 1, 1983

Added to The UNT Digital Library

  • Feb. 10, 2018, 10:06 p.m.

Description Last Updated

  • April 18, 2018, 6:58 p.m.

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Vanka, S.P. & Leaf, G.K. Fully-coupled solution of pressure-linked fluid flow equations, report, August 1, 1983; Illinois. (digital.library.unt.edu/ark:/67531/metadc1092282/: accessed October 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.