Multi-Cell Vortices Observed in Fine-Mesh Solutions to the Incompressible Euler Equations

  • Arthur Rizzi
Conference paper
Part of the Lecture Notes in Engineering book series (LNENG, volume 24)

Abstract

Results are presented for a three dimensional flow, containing a vortex sheet shed from a delta wing. The numerical solution indicates that the shearing caused by the trailing edge of the wing sets up a torsional wave on the vortex core and produces a structure with multiple cells of vorticity. Although observed in coarse grid solutions too, this effect becomes better resolved with mesh refinement to 614 000 grid volumes. In comparison with a potential solution in which the vortex sheet is fitted as a discontinuity, the results are analyzed for the position of the vortex features captured in the Euler flow field, the accuracy of the pressure field, and for the diffusion of the vortex sheets.

Keywords

Vortex Vorticity Compressibility 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Hoeijmakers, H. W. M. and Rizzi, A.: Vortex-Fitted Potential Sol-ution Compared with Vortex-Captured Euler Solution for Delta Wing with Leading Edge Vortex Separation, AIAA Paper No. 84–2144, 1984.Google Scholar
  2. 2.
    Betchov, R.: On the Curvature and Torsion of an Isolated Vortex Filament, J. Fluid Mechanics, Vol. 22, 1965, pp. 471–479.CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    Snow, J. T.: On Inertial Stability as Related to the Multiple-Vortex Phenomenon, J. Atmos. Sci., Vol. 35, Sept 1978, pp. 1660–1677.CrossRefGoogle Scholar
  4. 4.
    Rizzi, A. and Eriksson, L. E.: Computation of Inviscid Incompress-ible Flow with Rotation, J. Fluid Mechanics, Vol. 153, April 1985, pp. 275–312.CrossRefMATHGoogle Scholar
  5. 5.
    Rizzi, A., and Eriksson, L. E.: Computation of Flow Around Wings Based on the Euler Equations, J. Fluid Mech., Vol. 148 pp. 45–71, Nov. 1984.CrossRefGoogle Scholar
  6. 6.
    Eriksson, L. -E.: Generation of Boundary-Conforming Grids Around Wing-Body Configurations Using Transfinite Interpolation, AIAA J., Vol. 20, pp. 1313–1320, Oct. 1982.CrossRefMATHGoogle Scholar
  7. 7.
    Hoeijmakers, H. W. M., and Vaatstra, W.: A Higher-Order Panel Method Applied to Vortex-Sheet Roll-Up. AIAA Journal, Vol. 21, April 1983, pp. 516–523.CrossRefMATHGoogle Scholar
  8. 8.
    Hoeijmakers, H. W. M., Vaatstra, W. ’, and Verhaagen, N. G.: Vortex Flow Over Delta and Double-Delta Wings, J. Aircraft, Vol. 21, No. 9, Sept. 1983.Google Scholar
  9. 9.
    Powell, K., Murman, E., Perez, E., and Baron, J.: Total Pressure Loss in Vortical Solutions of the Conical Euler Equations, AIAA Paper No. 85–1701, 1985.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1986

Authors and Affiliations

  • Arthur Rizzi
    • 1
    • 2
  1. 1.FFA The Aeronautical Research Institute of SwedenBrommaSweden
  2. 2.Royal Institute of TechnologyStockholmSweden

Personalised recommendations