International Journal of Aeronautical and Space Sciences

  • 제17권2호
  • /
  • Pages.149-156
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  • 2016
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  • 2093-274X(pISSN)
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  • 2093-2480(eISSN)
한국항공우주학회 (The Korean Society for Aeronautical and Space Sciences)
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Flow Field Analysis on the Stagnation Streamline of a Blunt Body

  • Lee, Chang-Ho (Aerodynamics Research Team, Korea Aerospace Research Institute)
  • 투고 : 2015.08.25
  • 심사 : 2016.05.12
  • 발행 : 2016.06.30
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초록

The hypersonic flow on the stagnation streamline of a blunt body is analyzed with quasi one-dimensional (1-D) Navier-Stokes equations approximated by adopting the local similarity to the two-dimensional (2-D)/axisymmetric Navier-Stokes equations. The governing equations are solved using the implicit finite volume method. The computational domain is confined from the stagnation point to the shock wave, and the shock fitting method is used to find the shock position. We propose a boundary condition at the shock, which employs the shock wave angle in the vicinity of the stagnation streamline using the shock shape correlation. As a result of numerical computation conducted for the hypersonic flow over a sphere, the proposed boundary condition is shown to improve the accuracy of the prediction of the shock standoff distance. The quasi 1-D Navier-Stokes code is efficient in computing time and is reliable for the flow analysis along the stagnation streamline and the prediction of heat flux at the stagnation point in the hypersonic blunt body flow.

키워드

과제정보

연구 과제번호 : 한국형발사체개발사업

연구 과제 주관 기관 : 한국항공우주연구원

참고문헌

  1. Fay, J. A. and Riddell, F. R., "Theory of Stagnation Point Heat Transfer in Dissociated Air", Journal of the Aeronautical Sciences, Vol. 25, No. 2, 1958, pp. 73-85.
  2. Moretti, G. and Abbett, M., "A Time-Dependent Computational Method for Blunt Body Flows", AIAA Journal, Vol. 4, No. 12, 1966, pp. 2136-2141. https://doi.org/10.2514/3.3867
  3. Kao, H. C., "Hypersonic Viscous Flow near the Stagnation Streamline of a Blunt Body: I. A Test of Local Similarity", AIAA Journal, Vol. 2, No. 11, 1964, pp. 1892-1897. https://doi.org/10.2514/3.2709
  4. Jain, A. C. and Adimurthy, V., "Hypersonic Merged Stagnation Shock Layers Part I: Adiabatic Wall Case", AIAA Journal, Vol. 12, No. 3, 1974, pp. 342-347. https://doi.org/10.2514/3.49231
  5. Klomfass, A. and Muller, S., "Calculation of a Stagnation Streamline Quantities in Hypersonic Blunt Body Flows", Shock Waves, Vol. 7, 1997, pp. 12-23.
  6. William, J., Verant, J. and Sagnier, P., "An Efficient Numerical Tool for Blunted Bodies Stagnation Line Rebuilding with Weakly Ionized Thermochemical Nonquilibrium flows", 15th IMACS-World Congress on Scientific Computation, Modeling and Applied Mathematics, Vol. 3, 1997, pp. 187-192.
  7. Billig, F. S., "Shock Wave Shapes around Spherical and Cylindrical Nosed Bodies", Journal of Spacecraft and Rockets, Vol. 4, No. 6, 1967, pp. 822-823. https://doi.org/10.2514/3.28969
  8. Lee, C. H., "Numerical Solution of Hypersonic Flow along the Stagnation Streamline of Blunt Body", The 2015 World Congress on Aeronautics, Nano, Bio, Robotics, and Energy, Incheon, Korea, August, 2015.
  9. Anderson, E. C. and Moss, J. N., "Numerical Solution of the Hypersonic Viscous Shock Layer Equations for Laminar, Transitional, and Turbulent Flows of a Perfect Gas over Blunt Axially Symmetric Bodies", NASA TN D-7865, 1975.
  10. Lee, C. H. and Park, S. O., "Computations of Hypersonic Flows over Blunt Body using a Modified Low-Diffusion Flux-Splitting Scheme", CFD Journal, Vol. 10, No. 4, 2002, pp. 490-500.
  11. Anderson, W. K., Thomas, J. L. and Van Leer, B., "Comparison of Finite Volume Flux Vector Splitting for the Euler equations", AIAA Journal, Vol. 24, No. 9, 1986, pp. 1453-1460. https://doi.org/10.2514/3.9465
  12. Steger, J. L. and Warming, R. F., "Flux Vector Splitting of the Inviscid Gas dynamics Equations with Application to Finite Difference Methods", Journal of Computational Physics, Vol. 40, No. 2, 1981, pp. 263-293. https://doi.org/10.1016/0021-9991(81)90210-2
  13. Tysinger, T. L. and Caughy, D. A., "Implicit Multigrid Algorithm for the Navier-Stokes Equations", AIAA Paper 91-0242, 1991.
  14. Rawat, P. S. and Zhong, X., "On High-Order Shock Fitting and Front Tracking Schemes for Numerical Simulation of Shock Disturbance Interactions", Journal of Computational Physics, Vol. 229, No. 19, 2010, pp. 6744-6780. https://doi.org/10.1016/j.jcp.2010.05.021
  15. Henrick, A. K., Aslam, T. D. and Powers, J. P., "Simulations of Pulsating One-Dimensional Detonations with True Fifth Order Accuracy", Journal of Computational Physics, Vol. 213, No. 1, 2006, pp. 311-329. https://doi.org/10.1016/j.jcp.2005.08.013
  16. Cleary, J. W., "Effects of Angle of Attack and Bluntness on Laminar Heating-Rate Distributions of a $15^{\circ}$ Cone at a Mach Number of 10.6", NASA TN D-5450, 1969.
  17. Lee, C. H. and Park, S. O., "Comparison of Time Implicit Symmetric Gauss-Seidel Iterative Schemes for Computation of Hypersonic Nonequilibrium Flow", KSAS International Journal, Vol. 2, No. 1, 2001, pp. 1-11.