Skip to main content

Effect of Flux Evaluation Schemes in Numerical Simulation of Shockwave-Gas Cylinder Interaction

  • Conference paper
29th International Symposium on Shock Waves 2 (ISSW 2013)

Included in the following conference series:

  • 1509 Accesses

Abstract

The interaction of a propagating shock with a density interface is observed in a broad range of phenomena and applications such as astrophysical flows (supernova explosion), supersonic combustion, inertial confinement fusion (ICF) [1], shock propagation in bubbly flows and also in shock-induced fragmentation of kidney or gallstones [2]. This interaction causes modifications not only in the shock (due to shock reflection, refraction, diffraction), but also in the media due to changing thermodynamic properties, creation of vorticity and stretching of the interface.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Brouillette, M.: The Richtmyer-Meshkov Instability. Annu. Rev. Fluid Mech. 34, 445–468 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  2. Ranjan, D., Oakley, J., Bonazza, R.: Shock-bubble interactions. Annual Review Fluid Mech. 43, 117–140 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  3. Niederhaus, J.H.J., Greenough, J.A., Oklay, J.G., Ranjan, D., Anderson, M.H., Bonazza, R.: A computational parameter study for the three-dimensional shock-bubble interaction. J. Fluid Mech. 594, 85–124 (2008)

    Article  ADS  Google Scholar 

  4. Haas, J.F., Sturtevant, B.: Interactions of Weak Shock Waves with cylindrical and spherical gas inhomogeinities. J. Fluid Mech. 181, 41–76 (1987)

    Article  ADS  Google Scholar 

  5. Quirk, J.J., Karni, S.: On the dynamics of shock-bubble interaction. J. Fluid Mech. 318, 129–163 (1996)

    Article  ADS  Google Scholar 

  6. Shu, C.-W.: Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. ICASE-1997-65 (1997)

    Google Scholar 

  7. Toro, E.F.: Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Approach. Springer, Berlin (1992)

    Google Scholar 

  8. Fedkiw, R.P., Aslam, T., Merriman, B., Osher, S.: A non-oscillatory Eulerian approach to interfaces in multi-material flows(the ghost fluid method). J. Comput. Phys. 152, 457–492 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  9. Marquina, A., Mulet, P.: A flux-split algorithm applied to conservative models for multicomponent compressible flows. J. Comput. Phys. 185, 120–138 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  10. Bagabir, A., Drikakis, D.: Numerical experiments using high-resolution schemes for unsteady, inviscid, compressible flows. Comput. Methods Appl. Mech. Engrg. 193, 4675–4705 (2004)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Ray, M.P., Puranik, B.P., Bhandarkar, U.V. (2015). Effect of Flux Evaluation Schemes in Numerical Simulation of Shockwave-Gas Cylinder Interaction. In: Bonazza, R., Ranjan, D. (eds) 29th International Symposium on Shock Waves 2. ISSW 2013. Springer, Cham. https://doi.org/10.1007/978-3-319-16838-8_21

Download citation

Publish with us

Policies and ethics