Skip to main content

Development of M–DSMC Numerical Algorithm for Hypersonic Flows

  • Conference paper
  • First Online:
Recent Advances in Theoretical, Applied, Computational and Experimental Mechanics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 462 Accesses

Abstract

This paper demonstrates the newly developed particle method in the Direct Simulation Monte Carlo (DSMC) framework, and we refer to it as the Maxwellian–DSMC (M–DSMC) method. The M–DSMC solver is utilized for various fluid flow problems with different length scales varied from continuum to transitional regime. The hypersonic flow of argon over a cylinder simulation is carried out using M–DSMC and the same simulation results are compared with the regular DSMC method. The present work shows that the M–DSMC results are quite a good match with the DSMC results. The computational cost is significantly reduced by using M–DSMC method and the same is compared with regular DSMC method.

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 EPUB and 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

Similar content being viewed by others

References

  1. Breuer K, Piekos E, Gonzales D (1995) DSMC simulations of continuum flows. In: 30th thermophysics conference, p 2088

    Google Scholar 

  2. Courant R, Friedrichs K, Lewy H (1928) On the partial differential equations of mathematical physics. Math Ann 100(1):32–74

    Article  MathSciNet  Google Scholar 

  3. Courant R, Friedrichs KO (1948) Supersonic flow and shock waves. In: Applied mathematical sciences, vol 12

    Google Scholar 

  4. Lengrand J-C, Raffin M, Allegre J (1981) Monte-Carlo simulation method applied to jet-wall inter-actions under continuum flow conditions. Rarefied Gas Dyn 994–1006

    Google Scholar 

  5. Bartel TJ, Sterk TM, Payne J, Preppernau B (1994) DSMC simulation of nozzle expansion flow fields. In: 6th AIAA and ASME, joint thermophysics and heat transfer conference. Colorado Springs, CO

    Google Scholar 

  6. Pullin D (1980) Direct simulation methods for compressible inviscid ideal-gas flow. J Comput Phys 34(2):231–244

    Article  Google Scholar 

  7. Titov EV, Levin DA (2007) Extension of the DSMC method to high pressure flows. Int J Comput Fluid Dyn 21(9–10):351–368

    Article  MathSciNet  Google Scholar 

  8. Chinnapan AK, Malaikannan G, Kumar R (2017) Insights into flow and heat transfer aspects of hypersonic rarefied flow over a blunt body with aerospike using direct simulation Monte-Carlo approach. Aerosp Sci Technol 66:119–128

    Article  Google Scholar 

  9. Malaikannan G, Kumar R (2017) Hybrid particle-particle numerical algorithm for high speed non-equilibrium flows. Comput Fluids 152:24–39

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Malaikannan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Malaikannan, G., Kumar, R. (2020). Development of M–DSMC Numerical Algorithm for Hypersonic Flows. In: Singh, B., Roy, A., Maiti, D. (eds) Recent Advances in Theoretical, Applied, Computational and Experimental Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-1189-9_36

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-1189-9_36

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-1188-2

  • Online ISBN: 978-981-15-1189-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics