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An Implicit Parallel Fully Compressible Roe Based Solver for Subsonic and Supersonic Reacting Flows

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Computational Fluid Dynamics 2008

Abstract

The extension of the classical Roe’s formulation to the numerical integration of fully compressible multi-component reacting flows will be presented. The matrix of the five Navier Stokes equations written in conservative form has been completed with a set of (N − 1) transport equations for the species mass fractions. The Eddy Dissipation Model (EDM) [MH76] has been used as the combustion model of choice, whereas turbulence has been taken into account via the one equation Spalart & Allmaras model. Coupling of the above mentioned modeling represents a challenge per se, as the turbulence mixing time \( \tau _t \) had to be derived from the only resolved turbulent quantity \( \tilde \nu \) . The method has been validated against a set of test cases, both in subsonic and supersonic regimes.

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References

  • [W69] Wolfsthein, M.: The velocity and temperature distribution in one-dimensional flow with turbulence augmentation and pressure gradient. Int. J. Heat Mass Transfer 12, 301–318 (1969)

    Article  Google Scholar 

  • [KB76] Kent, J.H., Bilger, R.W.: Turbulent diffusion flames. In: 14th Int. Symposium on Combustion, The Comb. Inst., pp. 615–625 (1973)

    Google Scholar 

  • [MH76] Magnussen, B.F., Hjertager, B.H.: On mathematical modeling of turbulent combustion with special emphasis on soot formation and combustion. In: 16th Int. Symposium on Combustion, The Comb. Inst., pp. 719–729 (1976)

    Google Scholar 

  • [MB76] Moreau, P., Boutier, A.: Laser velocimetry measurements in a turbulent flame. In: 16th Int. Symposium on Combustion, The Comb. Inst., pp. 1747–1756 (1976)

    Google Scholar 

  • [W93] Wilcox, D.C.: Turbulence modeling for CFD. DCW Industries, Inc., La Cañada (1993)

    Google Scholar 

  • [SA97] Spalart, P.R., Allmaras, S.R.: A one-equation turbulence model for aerodynamic flows. AIAA Paper 92-0439 (1992)

    Google Scholar 

  • [FMO97] Fedkiw, R.P., Merriman, B., Osher, S.: High accouracy numerical methods for thermally perfect gas flows with chemistry. J.C.P. 132, 175–190 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  • [MDT02] Mulas, M., Chibbaro, S., Delussu, G., Di Piazza, I., Talice, M.: Efficient computations of flows of arbitrary fluids for all regimes of Reynolds, Mach and Grashof numbers. Int. J. of Num. Methods for Heat and Fluid Flow 12–6, 637–657 (2002)

    Article  Google Scholar 

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Belmrabet, T., Talice, M., Delussu, G., Hanchi, S. (2009). An Implicit Parallel Fully Compressible Roe Based Solver for Subsonic and Supersonic Reacting Flows. In: Choi, H., Choi, H.G., Yoo, J.Y. (eds) Computational Fluid Dynamics 2008. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01273-0_19

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  • DOI: https://doi.org/10.1007/978-3-642-01273-0_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01272-3

  • Online ISBN: 978-3-642-01273-0

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