Skip to main content
SpringerLink
Log in

Development of AUSM-Type Solver for Analysis of Ideal Magnetohydrodynamic Flows

  • Conference paper
Computational Fluid Dynamics 2008

  • 1812 Accesses

Abstract

AUSMPW+ and M-AUSMPW+ were modified to solve the equations of the ideal Magnetohydrodynamics(MHD). Discontinuity-sensing functions in AUSMPW+ and M-AUSMPW+ were newly defined for MHD equations. In order to obtain high resolution results and to satisfy the magnetic divergence free constraint, the OMLP, which is a high order interpolation scheme and a hyperbolic divergence cleaning technique, were applied. One-dimensional Brio and Wu’s shock tube problem, two-dimensional interaction of shock and cloud problem were calculated to validate and show the advantages of the newly developed schemes.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 349.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 449.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 449.99
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

  • [BW88] Brio, M., Wu, C.C.: An Upwind Differencing Scheme for the Equations of Ideal Magnetohydrodynamics. Journal of Computational Physics 75, 400–422 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  • [RJ95] Ryu, D.S., Jones, T.W.: Numerical Magnetohydrodynamics in Astrophysics: Algorithm and Test For One-Dimensional Flow. The Astrophysical Journal 442, 228–258 (1995)

    Article  Google Scholar 

  • [Jan00] Janhunen, P.: A positive conservative method for magnetohydrodynamics based HLL and Roe methods. Journal Of Computational Physics 160, 649–661 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  • [Mac98] MacCormack, R.W.: An Upwind Conservation Form Method For The Ideal Magneto Hydro Dynamics Equations. In: 30th Plasmadynamics and Lasers Conference (1998)

    Google Scholar 

  • [KKR01] Kim, K.H., Kim, C., Rho, O.H.: Methods for the Accurate Computations of Hypersonic Flows: I. AUSMPW+ Scheme. Journal of Computational Physics 174, 38–80 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  • [KK05] Kim, K.H., Kim, C.: Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows Part I: Spatial discretization. Journal of Computational Physics 208, 527–569 (2005)

    Article  MATH  Google Scholar 

  • [KLK08] Kim, S.T., Lee, S.G., Kim, K.H.: Wavenumber-extended high-order oscillation control finite volume shcmes for multi-dimensional aeroacoustic computations. Journal of Computational Physics 227, 4089–4122 (2008)

    Article  MATH  Google Scholar 

  • [DKK02] Dedner, A., Kemm, F., Kroner, D., Munz, C.D., Schnitzer, T., Wesenberg, M.: Hyperbolic Divergence Cleaning for the MHD Equations. Journal of Computational Physics 175, 645–673 (2002)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, Seoul National University, Seoul, 151-744, Korea

    Sang Hoon Han, Jeong Il Lee & Kyu Hong Kim

Authors
  1. Sang Hoon Han
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jeong Il Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kyu Hong Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. School of Mechanical and Aerospace Engineering, Seoul National University, San 56-1, Shinlim-dong, Kwanak-gu, Seoul, 151-742, Republic of Korea

    Haecheon Choi  & Jung Yul Yoo  & 

  2. Department of Mechanical Engineering, Seoul National University of Technology, 172 Gongreung-2-dong, Nowon-gu, Seoul, 139-743, Republic of Korea

    Hyong Gwon Choi

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Han, S.H., Lee, J.I., Kim, K.H. (2009). Development of AUSM-Type Solver for Analysis of Ideal Magnetohydrodynamic 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_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01273-0_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01272-3

  • Online ISBN: 978-3-642-01273-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation