Summary
Unsteady viscous flow around an oscillating elliptic cylinder is studied in this paper by a so-called “combined” or “mixte” method, which uses a second order finite difference scheme to solve the vorticity transport equation and a fourth order compact hermitian method to calculate the stream function equation. Specific aerodynamic properties of the phenomenon 3 4 are analyzed in detail for Reynolds numbers equal to 10 and 10 and for different values of the period and amplitude of the oscillation.
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References
Parkinson G.V. Mathematical models of Flow Induced Vibrations of bluff bodies, ed. Naudascher E.,Spriger Verlag, Berlin,p. 81–127 (1974)
Hurlbutt S.E., Spaulding M.L. and White F.M. Numerical solution of the time dependant Navier-Stokes equations in the presence of an oscillating cylinder ASME Fluids engineering Division Symposium on Nonsteady Flows II, Numerical Solution of nonsteady flows, book n° H00118 pp 201–206 (1978)
Sarpkaya T. Vortex Induced Oscillations Transactions of ASME J. of Appl. Mech.,Vol 46,n°2,pp 241–258 (June 1979)
Bontoux P., Forestier B. and Roux B. Analyse et Optimisation d’une methode de haute precision pour la resolution des equations de Navier-Stokes instationnaires , Journal de Mécanique Appliquée, Vol 2 n°3 pp 291–316 (1978
Ta Phuoc Loc and Daube O. Une méthode d’ordre O(h 2 ) et O(h 4 ) combinée pour la résolution numérique des équations de Navier-Stokes, C.R. Acad. Sc., Série A, t. 284,pp 1241–1243 (1977)
Daube O. and Ta Phuoc Loc Etude Numérique d’écoulements instationnaires de Fluide Visqueux Incompressible autour de Corps Profilés par une Méthode Combinée d’ordre O(h 2 ) et O(h 4 ) Journal de Mécanique,Vol 17 n°5,pp651–678, (1978)
Hirsh R.S. Higher Order Accurate Difference Solutions of Fluid Mechanics problems by a Compact differencing Technique Journal of Comp. Phys., Vol 19 n°l ,pp 90–100 (1975)
Wachspress E.L. Iterative Solutions of Elliptic Systems ,Prentice Hall (1966)
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© 1980 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Daube, O., Ta, P.L. (1980). A Mixte Compact Hermitian Method for the Numerical Study of Unsteady Viscous Flow Around an Oscillating Airfoil. In: Hirschel, E.H. (eds) Proceedings of the Third GAMM — Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics, vol 2. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86146-7_6
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DOI: https://doi.org/10.1007/978-3-322-86146-7_6
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08076-1
Online ISBN: 978-3-322-86146-7
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