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High Resolution Schemes for Steady Hypersonic Flow

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Hypersonic Flows for Reentry Problems

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Summary

The full Navier-Stokes equations are employed to simulate the hypersonic flow around a double ellipsoid. The high-resolution TVD schemes combined with Roe’s Riemann solver are used to discretize the inviscid flux while central differencing is used to discretize the viscous flux. Body-fitted meshes are generated by an algebraic method. Simulated results are presented.

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References

  1. S. R. Chakravarthy, “High Resolution Upwind Formulations for Hypersonic Conservation Laws,” Lecture Notes for Computational Fluid Dynamics, von Karman Institute for Fluid Dynamics, March 1988.

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  2. H.C. Yee, “Construction of Explicit and Implicit Symmetric TVD Schemes and Their Applications.” J. Compt. Phys. 68, 151 (1987).

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  3. P.L. Roe, “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes,” J. Compt. Phys. 43, 357 (1981).

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  4. H.C. Yee, R.F. Warming and A. Harten, “Implicit Total Variation Diminishing (TVD) Schemes for Steady-State Calculations.” J. Compt. Phys. 57, 327 (1985).

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  5. B. van Leer, J.L. Thomas, P.L. Roe and R. Newsome, “A Comparison of Numerical Flux Formulas for the Euler and Navier-Stokes Equations,” AIAA 8th Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 1987, AIAA-87-1104.

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  6. Z.J. Wang, “Numerical Simulation of 3D Hypersonic Flow Using High Resolution Schemes.” Ph.D Thesis, Dept. of Aerospace Engineering, University of Glasgow, July 1990.

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Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, University of Glasgow, Glasgow, G12 8QQ, UK

    Z. J. Wang & B. E. Richards

Authors
  1. Z. J. Wang
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  2. B. E. Richards
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Editor information

Editors and Affiliations

  1. Centre de Sophia Antipolis, INRIA, 2004 Route des Lucioles, F-06561, Valbonne Cedex, France

    Jean-Antoine Désidéri

  2. Department of Mathematics, University of Houston, Texas, 4800 Calhoun Road, University Park, 77004, Houston, TX, USA

    Roland Glowinski

  3. Aerodynamics Department, Dassault Aviation, 78 Quai Marcel Dassault, F-92214, Saint Cloud, France

    Jacques Périaux

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© 1991 Springer-Verlag Berlin Heidelberg

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Wang, Z.J., Richards, B.E. (1991). High Resolution Schemes for Steady Hypersonic Flow. In: Désidéri, JA., Glowinski, R., Périaux, J. (eds) Hypersonic Flows for Reentry Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76527-8_35

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  • DOI: https://doi.org/10.1007/978-3-642-76527-8_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76529-2

  • Online ISBN: 978-3-642-76527-8

  • eBook Packages: Springer Book Archive

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