A New Potential—Vorticity Decomposition for the Boundary—Element Analysis of Viscous Flows

  • Luigi Morino
  • Philip Beauchamp
Conference paper


This paper deals with a computational formulation for the analysis of viscous flows about arbitrary bodies. A new decomposition for unsteady compressible viscous flows is presented in Morino5, where the theoretical issues, such as vorticity generation and the relationship betweeen viscous and inviscid flows, are emphasised. Here, we focus on the issues arising in the use of the decomposition as a computational technique.


Vortex Vorticity 


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  1. [1]
    Beauchamp, P.: Ph.D. Thesis, Department of Aerospace and Mechanical Engineering, Boston University, in preperation.Google Scholar
  2. [2]
    Morino L. (1985): “Scalar/Vector Potential Formulation for Compressible Viscous Unsteady Flows” NASA CR-3921.Google Scholar
  3. [3]
    Morino, L. (1986): “Helmholtz Decomposition Revisited: Vorticity Generation and Trailing Edge Condition. Part I — Incompressible Flows” Computational Mechanics, No. 1, Vol. 1.Google Scholar
  4. [4]
    Morino, L. (1986): “Material Contravariant Components: Vorticity Transport and Vortex Theorems” AIAA Journal, Vol. 24, No. 3, pp 526–528.MathSciNetADSCrossRefGoogle Scholar
  5. [5]
    Morino, L. (1988): “An Integral Potential/Vorticity Formulation for Unsteady Compressible Viscous Flows: an Equivalent Source Problems” Boston University, Center for Computational and Applied Dynamics, TR-88-01.Google Scholar
  6. [6]
    Morino, L., Bharadvaj, B. K., Freedman, M. I., and Tseng, K., (1987): “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.Google Scholar
  7. [7]
    Steinhoff J, and Ramachandran, K., (1986): “Free Wake Analysis of Compressible Rotor Flow Fields in Hover”, Twelfth European Rotorcraft Forum, Garmisch-Partenkirchen, Germany.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Luigi Morino
    • 1
  • Philip Beauchamp
    • 1
  1. 1.Center for Computational and Applied DynamicsBoston UniversityBostonUSA

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