Small Disturbance Navier-Stokes Equations: Application on Transonic Two-dimensional Flows Around Airfoils

  • Michail Iatrou
  • Christian Breitsamter
  • Boris Laschka
Conference paper
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) book series (NNFM, volume 92)


The objective of this numerical investigation is the evaluation of the small disturbance Naviex-Stokes method FLM-SD.NS for test cases of two-dimensional transonic flow. For this reason the results of a NLR7301 flap-oscillation and a pitching NACA 64A010 airfoil are compared to experimental data. The influence of viscosity is shown by comparison to results of Euler computations while the time effort is judged by comparing with results of unsteady full Navier-Stokes computations.


Spatial Derivative Separation Bubble Small Disturbance Shock Region Auxiliary Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Chakravarthy, S.R.: “High Resolution Upwind Formulations for the Navier-Stokes Equation.” Rockwell Int. Sciense Center, USA, 1988.Google Scholar
  2. [2]
    Davis, S.S.: “NACA64A010 (NASA AMES MODEL) Oscillatory Pitching”. AGARD Report No.702 Compendium of Unsteady Aerodynamic Measurements, August 1982.Google Scholar
  3. [3]
    Iatrou, M., Weishāupl, C., Laschka, B.: “Entwicklung eines instationären Navier-Stokes-Verfahrens bei kleinen Störangen für aeroelastische Problemstellungen.”, Technische Universität München, Arbeitsbericht TUM-FLM-2002/09, Abschlussbericht TUMFLM-2003/27.Google Scholar
  4. [4]
    Kreiselmaier, E.: “Bereclmung instationärer Tragflügelumströmungen auf der Basis der zeiflinearisierten Eulergleichtmgen,” Dissertation, Lehrstuhl für Fluidmechanik, Technisehe Universifät München, 1998.Google Scholar
  5. [5]
    Laschka, B.: “Unsteady Flows-Fundamentals and Applications,” AGARD Conference Proceedings No. 386, Unsteady Aerodynamics-Fundamentals and Applications to Aircraft Dynamics, Göttingen, FRG, 1985.Google Scholar
  6. [6]
    Pechloff, A.: “TripleDecomposition of the Two-dimensional Navier-Stokes Equations in Cartesian Coordinates and Linearization for Small Disturbances.” Institutsbericht, Technische Universität München, TUM-FLM-2001/4, 2001.Google Scholar
  7. [7]
    Pechloff, A., Iatrou, M, Weishäupl, C., Laschka, B.: “The Small Disturbance Naviar-Stokes Equations: Development of an Efficient Method for Calculating Unsteady Air Loads” 13. DGLR-STAB-Symposium, 12.-14. Nov. 2002 published in: Notes on Numerical Fluid Mechanics and Multidiseiplinary Design, Volume 87, NNFM.Google Scholar
  8. [8]
    Pechloff, A. Laschka, B.: “Efficient Calculation of Unstcady Air Loads with a Small Disturbance Navier-Stokes Method”, ICAS 2004-2.1.3, Yokohama Japan, 29 Aug.-03 Sept. 2004.Google Scholar
  9. [9]
    Telionis, R,D.: Unsteady Viscous Flows. Springer-Verlag, 1981.Google Scholar
  10. [10]
    Zwaan R.J.: “NLR 7301 Supercdtical Airfoil Oscillatory Pitching and Oscillating Flap”. AGARD Report No.702 Compendium of Unsteady Aerodynamic Measurements, August 1982.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Michail Iatrou
    • 1
  • Christian Breitsamter
    • 1
  • Boris Laschka
    • 1
  1. 1.Lehrstuhl für Fluidmechanik, Abteilung Aerodynamik, Technische Universität MünchenGarchingGermany

Personalised recommendations