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Far field boundary conditions based on characteristic and bicharacteristic theory applied to transonic flows

  • Detlef Schulze
3. Numerical Methods for Aerodynamic Design c) Boundary Conditions
Part of the Lecture Notes in Physics book series (LNP, volume 453)

Abstract

The influence of two different far boundary conditions on the solution of a transonic profile flow is studied when the distance to the outer grid boundary is reduced. One of the boundary conditions makes use of characteristics in one dimensional flows [1]. The other results from an analysis of bicharacteristic in two dimensional flows [2].

These boundary conditions were combined with a cell-vertex method for solving the Euler equations in two dimensions. The method was used to simulate the transonic flow past a NACA0012 profile set at an angle of attack of one degree and a free stream Machnumber of 0.85.

Keywords

Euler Equation Drag Coefficient Outer Boundary Lift Coefficient Transonic Flow 
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References

  1. 1.
    Salas, M.D.; Thomas, J.L.: Far-field boundary conditions for transonic lifting solutions to the Euler equations. AIAA Journal, Vol. 24, No. 7, July 1986, pp 1079–1080.Google Scholar
  2. 2.
    Roe, P.L: Remote boundary conditions for unsteady multidimensional aerodynamic computations. ICASE Report 86-75, Nova 1986.Google Scholar
  3. 3.
    Ni, R.-H.: A Multiple-Grid Scheme for Solving the Euler Equations, AIAA Journal, Vol. 20, No. 11, Nov. 1982.Google Scholar
  4. 4.
    Hall, M.G.: Fast Multigrid Solution of the Euler Equations using a Finite Volume Scheme of Lax-Wendroff Type. RAE Technical Report 84013, 1984.Google Scholar
  5. 5.
    Hall, M.G.: Cell vertex schemes for solution of the Euler equations. Proc. of the Conf. on Num. Methods for Fluid Dynamics, University of Reading, 1985.Google Scholar
  6. 6.
    Jameson, A.: Numerical Solution of the Euler Equations for Compressible Inviscid Fluids, Report MAE 1643, Princeton University.Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Detlef Schulze
    • 1
  1. 1.Technical University of BerlinGermany

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