Development of the MZM numerical method for 3D boundary layer with interaction on complex configurations

  • M. Lazareff
  • J. C. le Balleur
Conference paper
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 29)


The viscous 3D steady flow problem at high Reynolds number is decomposed into a “Viscous-Defect” VD problem interacted with a pseudo-inviscid problem, the former VD problem being hyperbolic along the boundaries under thin-layer assumptions. Both problems are solved on the whole 3D field, and coupled by the boundary conditions, thus restoring the global elliptic character of the solution. The “Viscous-Defect” problem is solved here by a hybrid field/integral method, involving modelled 3D parametric velocity profiles, discretized in the normal direction. The MZM numerical method of solution of the resulting hyperbolic system of equations has been extended to complex multi-structured configurations. The new method is here applied to wings in attached flows, to ellipsoids at incidence, and to airplane wing-body configurations.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Le Balleur J.C., Lazareff M.-A Multi-Zonal-Marching integral method for 3D boundary layer with viscous-inviscid interaction.-Proceed. 9th ICNMFD, Saclay, France (1984) Lecture Notes in Physics, 218, Springer Verlag (1985).Google Scholar
  2. [2]
    Lazareff M., Le Balleur J.C.-Computation of three-dimensional flows by viscous-inviscid interaction using the “MZM” method-AGARD-CP-412 Paper 25, 1986 (Aix-en-Provence).Google Scholar
  3. [3]
    Lazareff M., Le Balleur J.C.-Computation of three-dimensional viscous flows on transonic wings via boundary layer-inviscid flow interaction-La Recherche Arospatiale 1983-3, p. 155-173.Google Scholar
  4. [4]
    Le Balleur J.C.-Computation of flows including strong viscous interactions with coupling methods-AGARD, General introduction, Lecture 1, Colorado-Springs 1980, AGARD-CP-291 (1981).Google Scholar
  5. [5]
    Le Balleur J.C-Strong matching method for computing transonic viscous flows including wakes and separations. Lifting airfoils.-La Recherche Aérospatiale 1981-3, p. 21-45, English and French editions (1981).Google Scholar
  6. [6]
    Le Balleur J.C.-Numerical viscid-inviscid interaction in steady and unsteady flows.-Proceed. 2nd Symp. Numerical and Physical Aspect of Aerodynamic Rows, Long-Beach, (1983), Springer-Verlag, T. Cebeci editor, chapt. 13, p. 259-284 (1984).Google Scholar
  7. [7]
    Le Balleur J.C.-Viscous-inviscid interaction solvers and computation of highly separated flows-“Studies of Vortex Dominated Flows”-(ICASE-NASA Langley 1985) chap. 3 p. 159-192, Hussaini and Salas ed., Springer-Verlag 1987.Google Scholar
  8. [8]
    Rivoire V., Eichel P.-Rapport DRET 86/304 Aérospatiale/Div. Avions (1987).Google Scholar
  9. [9]
    Le Balleur J.C.-Viscous-inviscid flow matching: Analysis of the problem including separation and shock waves.-La Recherche Aérospatiale 1977-6, p.349-358 (Nov. 1977). French, or English transl. ESA-TT-476.Google Scholar
  10. [10]
    Le Balleur J.C.-Viscous-inviscid flow matching: Numerical method and applications to two-dimensional transonic and supersonic flows.-La Recherche Aérospatiale 1978-2, p. 67-76 (March 1978). French, or English transi. ESA-TT-496.Google Scholar
  11. [11]
    Le Balleur J.C.-Numerical flow calculation and viscous-inviscid interaction techniques.-Recent Advances in Numerical Method in Fluids, Vol 3.: Computational methods in viscous flows, p. 419-450, W. Habashi editor, Pineridge Press, (1984).Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1990

Authors and Affiliations

  • M. Lazareff
    • 1
  • J. C. le Balleur
    • 1
  1. 1.O.N.E.R.A.Chatillon CedexFrance

Personalised recommendations