Advertisement

A Numerical Study of Hypersonic Stagnation Heat Transfer Predictions at a Coordinate Singularity

  • Francesco Grasso
  • Peter A. Gnoffo
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 29)

Summary

The problem of grid induced errors associated with a coordinate singularity on heating predictions in the stagnation region of a three-dimensional body in hypersonic flow is examined. The test problem is for Mach 10 flow over an Aeroassist Flight Experiment configuration. This configuration is composed of an elliptic nose, a raked elliptic cone, and a circular shoulder. Irregularities in the heating predictions in the vicinity of the coordinate singularity, located at the axis of the elliptic nose near the stagnation point, are examined with respect to grid refinement and grid restructuring. The algorithm is derived using a finite-volume formulation. An upwind-biased total-variation diminishing scheme is employed for the inviscid flux contribution, and central differences are used for the viscous terms.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Gnoffo, P.A.: “Upwind-Biased, Point-Implicit Relaxation Strategies For Hypersonic Flowfield Simulations on Supercomputers” 4th International Conference on Supercom-puting, April 30-May 5, 1989, Santa Clara, CA.Google Scholar
  2. 2.
    Gnoffo, P.A., McCandless, R.S., and Yee, H.C.: “Enhancements to Program LAURA for Computation of Three-Dimensional Hypersonic Flow,” AIAA Paper 87-0280 (1987).Google Scholar
  3. 3.
    Blottner, F.G.: “Verification of a Navier-Stokes Code for Solving the Hypersonic Blunt Body Problem”. 4th Symposium on Numerical and Physical Aspects of Aerodynamic Flows, January 16-19, 1989, California State University, Long Beach, CA.Google Scholar
  4. 4.
    Victoria, K.J., Widhopf, G.F.: “Numerical Solution of the Unsteady Navier-Stokes Equations in Curvilinear Coordinates: The Hypersonic BluntBody Merged Layer Problem,” 3rd International Conference on Numerical Methods in Fluid Dynamics, July 3-7, Paris, France, 1972.Google Scholar
  5. 5.
    Gnoffo, P.A.: “An Upwind-Biased, Point-Implicit Relaxation Algorithm for Viscous, Compressible Perfect-Gas Flows,” NASA TP in preparation.Google Scholar
  6. 6.
    Jones, J.J.: “The Rationale for an Aeroassist Flight Experiment”, AIAA Paper 87-1508 (1987).Google Scholar
  7. 7.
    Yee, H.C.: “Upwind and Symmetric Shock-Capturing Schemes,” NASA TM-89464 (1987).Google Scholar
  8. 8.
    Bassi, F., Grasso, F., and Savini, M.: “Finite Volume TVD Runge Kutta Scheme for Navier Stokes Computations”, 11th International Conference on Numerical Methods in Fluid Dynamics, The College of William and Mary, Williamsburg, Virginia, June 27-July 1, 1988.Google Scholar
  9. 9.
    Micol, J.R.: AIAA Paper in preparation.Google Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1990

Authors and Affiliations

  • Francesco Grasso
    • 1
  • Peter A. Gnoffo
    • 2
  1. 1.Dip. di Meccanica e AeronauticaUniversità di Roma “La Sapienza”RomaItalia
  2. 2.NASA Langley Research CenterHamptonUSA

Personalised recommendations