Skip to main content

2D Hypersonic Viscous Flow Past a Double Ellipse Geometry

  • Conference paper
  • 382 Accesses

Abstract

Navier Stokes calculations were performed using an unfactored implicit scheme in time, with a centered approximation for the spatial discretization on unstructured P1 triangular finite elements. A localised artificial viscosity term is introduced within the detached shock supersonic region, this combined with adaptivity by local mesh refinement here, reduces the spurius oscillations and overshoots, which are classical for centered approximations, without perturbing the subsonic layers. A standard TVD term is added in the shock region for the high Reynolds number test case 6.1.2.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Angrand, F., J. Erhel, Leyland, P. Fully vectorized implicit scheme for 2-D viscous hypersonic flow using adaptive finite element methods. 7th GAMM International Conference on Computing methods, Ed.Computational Mechanics. (1989).

    Google Scholar 

  2. Lérat, A., Peyret, R. Sur le choix de schémas aux différences du second ordre fournissant des profils de chocs sans oscillations, CRAS, Série A, 277, 363–366, (1973).

    MATH  Google Scholar 

  3. Périaux, J. Finite Element Simulations of Three-Dimensional Hypersonic Reacting Flows around Hermes, Second joint Europe/US short course in Hypersonics, Colorado Springs, (January 1989).

    Google Scholar 

  4. Yee H. A Class of High Resolution Explicit and Implicit Shock Capturing Methods. Nasa Tech. Mem.no. 101088. Feb. 1989.

    Google Scholar 

  5. Harten, A. High Resolution Schemes for Hyperbolic Conservation Laws. Journ. Comp. Phys. 49. 357–393 (1983).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Dervieux, A. Steady Euler simulation using unstructured meshes. Patial Differential Equations of Hyperbolic Type. Ed.Geymonat, 33–111. World Scientific. Singapore. 1987.

    Google Scholar 

  7. Stoufflet, B., Periaux, J. Fezoui, F.,Dervieux, A. Numerical Simulation of 3D Hypersonic Euler Flows Around Space Véhiculés using adapted finite elements. AIAA-87-0560..

    Google Scholar 

  8. Billey, V.; Periaux, J. Stoufflet, B. Dervieux, A. Selmin, V..Recent Applications in Galerkin and Euler Solvers and Application to 3D Transonic Flow in Aircraft Design. Comp. Meth. in Applied Mech. and Eng. 75,409–414. 1989.

    Article  MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Leyland, P. (1991). 2D Hypersonic Viscous Flow Past a Double Ellipse Geometry. 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_38

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-76527-8_38

  • 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