Consistency, Stability and Convergence of the Viscous Garabedian and Korn (VGK) Method
AbstractThe Viscous Garabedian and Korn (VGK) is a computational fluid dynamics (CFD) code, used for the prediction of viscous flows around two dimensional aerofoil sections (mapped onto a circular grid) in a subsonic free stream. The code is written in “Fortran 77” and solves the full potential flow equations using a finite difference algorithm. The code has been recently published commercially with a data preparation routine to facilitate its use . The present work investigates the code’s consistency, stability and convergence in the hope that it will shed light on the code’s performance and limitations under various flow conditions and code’s numerical parameters.
. Freestone, M.M. "ESDU Transonic Aerodynamics Vol.3, 1997"
. Jameson,A. "Full potential,Euler and Navier-Stokes Schemes",chapter 3 in "Applied computational aerodynamics",progress in aeronautics and astronautics,Henne,P.A, Editor,Vol.125,1990
. Anderson, J.D. "Computational fluid dynamics, the basics with applications". McGraw Hill Int., 1996.
. Hutchison M J. "Investigation into the ability of two CFD codes to model aerodynamic effects of airframe surface imperfections", ESDU Paper 365,ESDU. July 1994.
. Salah.J.S EL-IBRAHIM. “Prediction of the effects of aerofoil surface irregularities at high subsonic speeds using the viscous Garabedian & Korn method”. PhD thesis. Department of Civil Aeronautical and Mechanical Engineering, University of Hertfordshire, U.K., unpublished work,2000.
. Freestone, M.M. "VGK Method for two-dimensional aerofoil sections- part1: Principles and results". Draft Data Item, ESDU international, Oct.1996.
. Hirsch C. "Numerical computation of internal and external flows". Volume 1, "Fundamentals of numerical discretization". Wiley series in numerical methods in engineering ,John Wiley & Sons. 1989.
. Hirsch C. "Numerical computation of internal and external flows". Volume 2, "Computational methods for inviscid and viscous flows". Wiley series in numerical methods in engineering ,John Wiley & Sons. 1990.
. Hoffman J.D. "Numerical methods for engineers and scientists". McGraw-Hill International editions.1993.
. Murman, E.M. Cole, J.D. "Calculation of plane steady flows". AIAA Journal.Vol.9, No.1. January 1971.
. Fletcher C.A. "Computational techniques for fluid dynamics, Volume I, -Fundamentals and general techniques". Springer-Verlag ,2nd edition,1991.
. Collyer, M.R. "An extension to the method of Garabedian & Korn for the calculation of transonic flow past an aerofoil to include the effects of a boundary layer and wake". Reports &Memoranda No.3828.RAE, July 1977.
. Lock, R. C. , Collyer,M.R " A modification to the method of Garabedian & Korn". Numerical methods for the calculation of inviscid transonic flows. FREDR VIEWE GUND S. 1981
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