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Role of artificial viscosity in Euler and Navier-Stokes solversA method is proposed to determine directly the amount of artificial viscosity needed for stability using an eigenvalue analysis for a finite difference representation of the Navier-Stokes equations. The stability and growth of small perturbations about a steady flow over airfoils are analyzed for various amounts of artificial viscosity. The eigenvalues were determined for a small time-dependent perturbation about a steady inviscid flow over an NACA 0012 airfoil at a Mach number of 0.8 and angle of attack of 0 deg. The method has been applied to inviscid flows here, but as discussed is also applicable to viscous flows. The movement of the eigenvalue constellation with respect to the amount of artificial viscosity is studied. The stability boundaries as a function of the amount of artificial viscosity from both the eigenvalue analysis and the time-marching scheme are also presented. The eigenvalue procedure not only allows for determining the effect of varying amounts of artificial viscosity, but also for the effects of different forms of artificial viscosity.
Document ID
19910049512
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Mahajan, Aparajit J.
(NASA Lewis Research Center Cleveland, OH; Duke University, Durham, NC, United States)
Dowell, Earl H.
(NASA Lewis Research Center Cleveland, OH, United States)
Bliss, Donald B.
(Duke University Durham, NC, United States)
Date Acquired
August 14, 2013
Publication Date
April 1, 1991
Publication Information
Publication: AIAA Journal
Volume: 29
ISSN: 0001-1452
Subject Category
Aerodynamics
Accession Number
91A34135
Funding Number(s)
CONTRACT_GRANT: NAG3-724
Distribution Limits
Public
Copyright
Other

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