Boundary Integral Equation Method for Unsteady Viscous and Inviscid Flows

  • R. Piva
  • G. Graziani
  • L. Morino
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

A general boundary-element methodology for the analysis of incompressible, unsteady, viscous and inviscid, flows is presented, with emphasis on external flows. The formulations are presented in terms of dynamic pressure; this has the advantage that the field integrals are limited to the region where the vorticity is different from zero. The formulations for viscous and inviscid flows are then compared in order to gain a better physical understanding of the relationship between the two problems. In the process an efficient computational algorithm is developed. Preliminary numerical results are also discussed.

Keywords

Vortex Neral Vorticity Tral Larg 

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References

  1. 1.
    Ladyzhenskaja, O.A., ‘The Mathematical Theory of Viscous Incompressible Flows,’ Gordon & Breach, 1963.Google Scholar
  2. 2.
    Berker, R., ‘Integration des Equations du Movement d’un Fluide Visquex Incompressible,’ Flugge, S. ed., Handbuch der Physik, Bond VIII/2. 1963.Google Scholar
  3. 3.
    Piva, R., Graziani, G., and Morino, L., ‘Green’s Function Method for Viscous Unsteady Free Surface Flows,’ Yagawa, G., and Atluri, S. N., ed., Computational Mechanics 86: Theory and Applications, Springer-Verlag 1986.Google Scholar
  4. 4.
    Tosaka, N., and Onishi. K.. ‘Numerical Simulations for Incompressible Viscous Flow Problems Using the Integral Equation Methods.’ Yagawa, G.. and Atluri, S. N., ed., Computational Mechanics 86: Theory and Applications. Springer-Verlag 1986.Google Scholar
  5. 5.
    Borchers. WV., and Hebeker, F.K., and Rautmann. R., ‘A Boundary Element Spectral Method for Nonstationary Viscous Flows in 3 Dimensions,’ Hirschel, E. H. ed., Finite Approximations in Fluid Mechanics, Vieweg Verlag, 1986.Google Scholar
  6. 6.
    Piva, R., and Morino, L., ‘Vector Green’s Function Method for Unsteady Navier Stokes Equations,’ Meccanica, 22, 1987.Google Scholar
  7. 7.
    Morino, L., Bharadvaj, B.K., Freedman, M.I., and Tseng, K., ‘BEM for Wave Equation with Boundary in Arbitrary Motion, and Applications to Compressible Potential Aerodynamics of Airplanes and Helicopters,’ Proceedings of the IUTAM Symposium on Advanced Boundary Element Methods - Applications in Solid and Fluid Mechanics, San Antonio, TX, April 1987.Google Scholar
  8. 8.
    Piva, R., Graziani, G., and Morino, L., ‘Applications of the Boundary Integral Equation Method for Unsteady Navier Stokes Equations,’ in preparation.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • R. Piva
    • 1
  • G. Graziani
    • 1
  • L. Morino
    • 2
  1. 1.Dipartimento di Meccanica e AeronauticaUniversita’ “La Sapienza,”RomaItaly
  2. 2.Department of Aerospace and Mechanical EngineeringBoston UniversityBostonUSA

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