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Computation of inviscid incompressible flow with rotation

Published online by Cambridge University Press:  20 April 2006

Arthur Rizzi  and
Lars-Erik Eriksson
Arthur Rizzi
Affiliation:
FFA, The Aeronautical Research Institute of Sweden, S-161 11 Bromma. Sweden
Lars-Erik Eriksson
Affiliation:
FFA, The Aeronautical Research Institute of Sweden, S-161 11 Bromma. Sweden
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Abstract

The standard hyperbolic methods used to solve the compressible Euler equations are not effective in the limit of incompressible flow. The sound waves dominate the system and it becomes poorly conditioned for numerical solution. For steady flow governed by the incompressible Euler equations, artificial compressibility is a technique that removes the troublesome sound waves. It leads to a hyperbolic system of equations that we solve by finite-volume differences centred in space, and explicit multistage time-stepping. The stability of this novel system is analysed, its allowable discontinuities are described, and appropriate far-field and solid-wall boundary conditions are introduced. Results are presented for both two- and three-dimensional flows, including vorticity shed from a delta wing. Whether vorticity is produced or not depends very strongly on the body geometry, the accuracy of the solution method, and the transient discontinuities that evolve in the flow field. The results are analysed for the total-pressure losses in the flow fields, and for the diffusion of the vortex sheets.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 153 , April 1985 , pp. 275 - 312
Copyright
© 1985 Cambridge University Press

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