Shock Interactions in Continuum and Rarefied Conditions Employing a Novel Gas-Kinetic Scheme

Conference paper

Abstract

Shock interactions can have a significant impact on heating rates and aerodynamic performance of hypersonic vehicles. The study presents different shock interactions in partially rarefied hypersonic flows predicted employing a recently developed gas-kinetic scheme for diatomic gases with rotational degrees of freedom. The new gas-kinetic schemes will be presented along with shock/wave boundary interactions as well as Edney Type IV shock–shock interactions. Various levels of rarefaction have been considered to highlight the effect of thermal relaxation between the translational and rotational modes. In addition, for the Edney test case, the imposed wall temperature on the shock-generating wedge and the cylinder surface has been varied, to evaluate the importance of the boundary layer thickness in the interaction region.

Notes

Acknowledgements

The majority of the results presented were obtained using the EPSRC funded ARCHIE-WeSt High Performance Computer (https://www.archie-west.ac.uk). EPSRC grant no. EP/K000586/1.

References

  1. 1.
    Marini, M.: Analysis of hypersonic compression ramp laminar flows under sharp leading edge conditions. Aerosp. Sci. Technol. 5, 257271 (2001)CrossRefMATHGoogle Scholar
  2. 2.
    Deschenes T., Boyd, I.: Extension of a modular particle-continuum method to vibrationally excited, hypersonic flows. AIAA J. 49(9) (2011)Google Scholar
  3. 3.
    Degond, P., Dimarco, G., Mieussens, L.: A multiscale kinetic-fluid solver with dynamic localization of kinetic effects. J. Comput. Phys. 229, 4907–4933 (2010)MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Steijl, R., Barakos, G.: Computational fluid dynamics of partially rarefied flows with coupled kinetic Boltzmann/Navier-Stokes methods. In: ECCOMAS 2012, 10–14 Sept, Vienna, Austria (2012)Google Scholar
  5. 5.
    Xu, K.: A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method. J. Comput. Phys. 171, 289–335 (2001)MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    Xu, K., Huang, J.-C.: A unified gas-kinetic scheme for continuum and rarefied flows. J. Comput. Phys. 229, 7747–7764 (2010)MathSciNetCrossRefMATHGoogle Scholar
  7. 7.
    Liu, S., Pubing, Y., Xu, K., Zhong, C.: Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes. J. Comput. Phys. 259, 96–113 (2014)MathSciNetCrossRefMATHGoogle Scholar
  8. 8.
    Shakhov, E.: Generalization of the Krook kinetic relaxation equation. Mekhanika Zhidkosti i Gaza 3(5), 142–145 (1968)Google Scholar
  9. 9.
    Rykov, V.: A model kinetic equation for a gas with rotational degrees of freedom. Fluid Dyn. 10(6), 959–966 (1975)CrossRefGoogle Scholar
  10. 10.
    Colonia, S., Steijl, R., Barakos, G.: Kinetic models and gas kinetic schemes for hybrid simulation of partially rarefied flows. AIAA J. 54, 1264–1276 (2016)CrossRefGoogle Scholar
  11. 11.
    Steijl, R., Barakos, G.: Coupled Navier-Stokes-molecular dynamics simulations using a multi-physics flow simulation framework. Int. J. Numer. Methods Fluids 62, 1081–1106 (2010)MathSciNetMATHGoogle Scholar
  12. 12.
    Valentini, P., Zhang, C., Schwartzentruber, T.: Molecular dynamics simulation of rotational relaxation in nitrogen: implications for rotational collision number models. Phys. Fluids 24(106101), 1–23 (2012)Google Scholar
  13. 13.
    Xu, K., He, X., Cai, C.: Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations. J. Comput. Phys. 227, 6779–6794 (2008)MathSciNetCrossRefMATHGoogle Scholar
  14. 14.
    Pot, T., Chanetz, B., Lefebvre, M., Bouchardy, P.: Fundamental study of shock-shock interference in low density flow: flowfield measurements by DLCARS, ONERA TP 1998-140, July 1998Google Scholar
  15. 15.
    D’Ambrosio, D.: Numerical prediction of laminar shock/shock interactions in hypersonic flow. J. Spacecr. Rocket. 40(2), 153–161 (2003)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Aerospace Sciences Division, School of EngineeringUniversity of GlasgowGlasgowUK

Personalised recommendations