Accuracy considerations for implementing velocity boundary condiditons in vorticity formulations

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A vorticity formulation is described that satisfies the velocity boundary conditions for the incompressible Navier-Stokes equations. Velocity boundary conditions are satisfied by determining the appropriate vortex sheets that must be created on the boundary. Typically, the vortex sheet strengths are determined by solving a set of linear equations that is over-specified. The over-specification arises because an integral constraint on the vortex sheets is imposed. Vortex sheets determined this way do not accurately satisfy both components of the velocity boundary conditions because over-specified systems do not have unique solutions. An integral collocation technique is applied to a generalized Helmholtz decomposition. This ... continued below

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52 p.

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Kempka, S.N.; Glass, M.W.; Peery, J.S.; Strickland, J.H. & Ingber, M.S. March 1, 1996.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

A vorticity formulation is described that satisfies the velocity boundary conditions for the incompressible Navier-Stokes equations. Velocity boundary conditions are satisfied by determining the appropriate vortex sheets that must be created on the boundary. Typically, the vortex sheet strengths are determined by solving a set of linear equations that is over-specified. The over-specification arises because an integral constraint on the vortex sheets is imposed. Vortex sheets determined this way do not accurately satisfy both components of the velocity boundary conditions because over-specified systems do not have unique solutions. An integral collocation technique is applied to a generalized Helmholtz decomposition. This formulation implicitly satisfies an integral constraint that is more general that constraints typically used. Improvements in satisfying velocity boundary conditions are shown.

Physical Description

52 p.

Notes

OSTI as DE96010655

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  • Other Information: PBD: Mar 1996

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  • Other: DE96010655
  • Report No.: SAND--96-0583
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/242701 | External Link
  • Office of Scientific & Technical Information Report Number: 242701
  • Archival Resource Key: ark:/67531/metadc665969

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  • March 1, 1996

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  • June 29, 2015, 9:42 p.m.

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  • April 12, 2016, 9:34 p.m.

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Kempka, S.N.; Glass, M.W.; Peery, J.S.; Strickland, J.H. & Ingber, M.S. Accuracy considerations for implementing velocity boundary condiditons in vorticity formulations, report, March 1, 1996; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc665969/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.