A B-Spline-Based Colocation Method to Approximate the Solutions to the Equations of Fluid Dynamics

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Description

The potential of a B-spline collocation method for numerically solving the equations of fluid dynamics is discussed. It is known that B-splines can resolve curves with drastically fewer data than can their standard shape function counterparts. This feature promises to allow much faster numerical simulations of fluid flow than standard finite volume/finite element methods without sacrificing accuracy. An example channel flow problem is solved using the method.

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Johnson, Richard Wayne & Landon, Mark Dee July 1, 1999.

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Description

The potential of a B-spline collocation method for numerically solving the equations of fluid dynamics is discussed. It is known that B-splines can resolve curves with drastically fewer data than can their standard shape function counterparts. This feature promises to allow much faster numerical simulations of fluid flow than standard finite volume/finite element methods without sacrificing accuracy. An example channel flow problem is solved using the method.

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  • 3rd ASME/JSME Joint Fluids Engineering Conference,San Francisco, CA,07/18/1999,07/23/1999

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  • Report No.: INEEL/CON-99-00180
  • Grant Number: DE-AC07-99ID-13727
  • Office of Scientific & Technical Information Report Number: 911401
  • Archival Resource Key: ark:/67531/metadc879872

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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.

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  • July 1, 1999

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Dec. 2, 2016, 8:29 p.m.

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Johnson, Richard Wayne & Landon, Mark Dee. A B-Spline-Based Colocation Method to Approximate the Solutions to the Equations of Fluid Dynamics, article, July 1, 1999; [Idaho Falls, Idaho]. (digital.library.unt.edu/ark:/67531/metadc879872/: accessed October 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.