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Numerical Solutions to the Euler Equations for the 1986 Gamm Workshop

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Book cover Numerical Simulation of Compressible Euler Flows

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 26))

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Summary

Results are presented for three cases: The cylinder at M=0.5,the NACA 0012 at M=0.85 α=l deg, and the cascade problem. They have been obtained by a centered finite volume scheme with a three-stage Runge-Kutta time integration and artificial viscosity. This scheme is known to smear out shocks, and our purpose in this exercise is to evaluate our results with those from the more optimal schemes for shock resolution. The conclusions are that the thickening of the shock does not degrade the overall accuracy of the solutions. In the case of the cylinder where the shock is strong a reasonably clean profile is obtained, whereas for the profile, wiggles appear in the contour lines. The method, however, is robust and succeeded in producing a solution to the cascade problem with high accuracy.

also adjunct professor of CFD, Royal Institute of Technology, Stockholm

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References

  1. Rizzi, A.W. and Inouye, M.: Time-Splite Finite-Volume Method for Three-Dimensional Blunt-Body Flow. AIAA Journal, Vol. 11, No. 11, Nov. 1973, 1478–85.

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Alain Dervieux Bram Van Leer Jacques Periaux Arthur Rizzi

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© 1989 Friedr Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Krouthén, B., Rizzi, A. (1989). Numerical Solutions to the Euler Equations for the 1986 Gamm Workshop. In: Dervieux, A., Leer, B.V., Periaux, J., Rizzi, A. (eds) Numerical Simulation of Compressible Euler Flows. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 26. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87875-5_12

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  • DOI: https://doi.org/10.1007/978-3-322-87875-5_12

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-07626-9

  • Online ISBN: 978-3-322-87875-5

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