Skip to main content
SpringerLink
Log in

Implicit Upwind Finite-Difference Simulation of Laminar Hypersonic Flow Over a 2D Ramp

  • Conference paper
Hypersonic Flows for Reentry Problems

Summary

Laminar hypersonic flow of perfect gas over a semi-infinite flat plate and a 15° ramp is numerically simulated by solving the two-dimensional compressible Navier-Stokes equations for the steady state using an implicit upwind finite-difference scheme based on approximate factorization and the total variation diminishing (TVD) method of Harten and Yee.

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 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. Yee, H.C.: “A Class of High-Resolution Explicit and Implicit Shock- Capturing Methods”, NASA TM 101088, 1989.

    Google Scholar 

  2. Beam, R.M., Warming, R.F.: “An Implicit Factored Scheme for the Compressible Navier-Stokes Equations II: The Numerical ODE Connection”, AIAA Paper 79 - 1446, 1979.

    Google Scholar 

  3. Vinokur, M., Liu, Y.: “Equilibrium Gas Flow Computations II: An Analysis of Numerical Formulations of Conservation Laws”, AIAA Paper 88 - 0127, 1988.

    Google Scholar 

  4. Roe, P.L.: “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes”, J. Comp. Physics, Vol. 43. 1981, pp. 357–372.

    MATH  ADS  MathSciNet  Google Scholar 

  5. Harten, A.: “High Resolution Schemes for Hyperbolic Conservation Laws”, J. Comp. Physics, Vol. 49, 1983, pp. 357–393.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Müller, B.: “Simple Improvements of an Upwind TVD Scheme for Hypersonic Flow”, AIAA Paper 89-1977-CP, 1989.

    Google Scholar 

  7. Schemes for Steady-State Calculations, J. Comp. Physics, Vol. 57, 1985, pp. 327–360.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Fluid Mechanics, DLR, Bunsenstr. 10, D-3400, Göttingen, Germany

    B. Müller

Authors
  1. B. Müller
    View author publications

    You can also search for this author in PubMed Google Scholar

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

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Müller, B. (1991). Implicit Upwind Finite-Difference Simulation of Laminar Hypersonic Flow Over a 2D Ramp. 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_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-76527-8_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76529-2

  • Online ISBN: 978-3-642-76527-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation