Simulations of compressible inviscid flows over stationary and rotating cylinders

  • M. Hafez
  • A. C. B. Dimanlig
Part of the Acta Mechanica book series (ACTA MECH.SUPP., volume 4)


Solutions of potential and Euler equations for compressible flows over a cylinder are obtained based on simple artificial viscosity forms using standard numerical techniques. The equations, written in cylindrical coordinates are discretized on an orthogonal grid via central differences with special treatment of boundary conditions. The resulting nonlinear algebraic equations are solved via Newton’s method. A direct solver based on an efficient Gaussian elimination procedure for banded matrices, is employed at each iteration. Preliminary results demonstrate multiple solutions of both systems for the transonic cases of non-zero circulation in the far field. Finally, some remarks about the non-uniqueness problem are discussed.


Euler Equation Stagnation Point Fine Mesh Potential Flow AIAA Paper 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • M. Hafez
    • 1
  • A. C. B. Dimanlig
    • 1
  1. 1.Department of Mechanical, Aeronautical and Materials EngineeringUniversity of CaliforniaDavisUSA

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