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A Brief History of Shock-Fitting

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Computational Fluid Dynamics 2010

Abstract

The development of shock-fitting techniques for computational fluid dynamics over the last 50 years is reviewed.

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Notes

  1. 1.

    National Advisory Committee for Aeronautics, created in 1915.

  2. 2.

    See Godunov’s Reminiscences [1] for parallel developments in Russia.

  3. 3.

    The 650 had only 2000 words of memory. Initially it was programmed in machine language, then in SOAP (Symbolic Optimal Assembly Program). By 1957 a FORTRAN compiler was available which compiled FORTRAN into SOAP.

  4. 4.

    A node not in the original grid added to improve the quality of the tezzellation.

References

  1. Abgrall, R., Karni, S.: A comment on the computation of non-conservative products. J. Comput. Phys. 229(8), 2759–2763 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Aspray, W.: An interview with Nicolas C. Metropolis. Charles Babbage Institute, The Center for the History of Information Processing, University of Minnesota, Minneapolis, http://special.lib.umn.edu/cbi/oh/pdf.phtml?id$=$198 (1987)

    Google Scholar 

  3. Belotserkovskii, O.M.: On the numerical calculation of detached bow shock waves in hypersonic flow. Prikl. Mat. Mekh. 22, 206–219 (1958) (Trans: J. Appl. Math. Mech. 22, 279–296)

    MathSciNet  Google Scholar 

  4. Bonfiglioli, A., et al.: An unstructured, three-dimensional, shock-fitting solver for hypersonic flows. AIAA Paper 2010–4450, 40th Fluid Dynamics Conference and Exhibit, 28 June – 1 July 2010. Chicago, Illinois (2010)

    Google Scholar 

  5. Colombeau, J.F.: Elementary Introduction to New Generalized Functions. North-Holland Mathematics Studies 113, North-Holland, Amsterdan (1985)

    MATH  Google Scholar 

  6. Dorodnitsyn, A.A.: On a method of numerical solution of some nonlinear problems of aero-hydrodynamics. In: Proceedings of the 9th International Congress of Applied Mechanics, vol. 1, p. 485. University of Brussels, Brussels (1957)

    Google Scholar 

  7. Emmons, H.W.: The Numerical Solution of Compressible Fluid Flow Problems, NACA Tech. Note no. 932 (1944)

    Google Scholar 

  8. Emmons, H.W.: Flow of a Compressible Fluid Past a Symmetrical Airfoil in a Wind Tunnel and in Free Air, NACA Tech. Note no. 1746 (1948)

    Google Scholar 

  9. Gadd, G.E.: The possibility of normal shock waves on a body with convex surfaces in inviscid transonic flow. Zeit. Ang. Math. Phys. 11, 51–55 (1960)

    Article  MathSciNet  MATH  Google Scholar 

  10. Godunov, S.K.: Reminiscences about difference schemes. J. C. P. 153, 6–25 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  11. Harlow, F.H., Metropolis, N.: Computing & Computers, Weapons Simulation Leads to the Computer Era. Los Alamos Science, Winter/Spring. http://www.lanl.gov/history/hbombon/pdf/00285876.pdf (1983)

  12. Kentzer, C.: Discretization of boundary conditions on moving discontinuities. In: Proceedings of the II International Conference on Numerical Methods in Fluid Dynamics, pp. 108–113 (1970)

    Google Scholar 

  13. Moretti, G.: Experiments in Multi-Dimensional Floating Shock-Fitting. PIBAL report no. 73–18. Polytechnic Institute of Brooklyn, Brooklyn, NY (1973)

    Google Scholar 

  14. Moretti, G.: Computation of flows with shocks. Ann. Rev. Fluid Mech. 19, 313–337 (1987)

    Article  Google Scholar 

  15. Moretti, G., Abbett, M.: A time-dependent computational method for blunt body flows. AIAA J. 4, 2136–2141 (1966)

    Article  MATH  Google Scholar 

  16. Marconi, F., Salas, M.D.: Computation of three-dimensional flows about aircraft confingurations. Comput. Fluids. 1, 185–195 (1973)

    Article  MATH  Google Scholar 

  17. Oswatitsch, K., Zierep, J.: Das Problem des Senkrechten Stosses an einer gekrümmten. Wand. Zeit. Ang. Math. Mech. 40(Supp), 143–144 (1960)

    Google Scholar 

  18. Paciorri, R., Bonfiglioli, A.: Numerical simulation of shock interaction with unstructured shock-fitting technique. In: Sixth European Symposium on Aerothermodynamics of Space Vechicles, Paris, France (2008).

    Google Scholar 

  19. Paciorri, R., Bonfiglioli, A.: A shock-fitting technique for 2D unstructured grids. Comp. Fluids. 38, 715–726 (2009)

    Article  MathSciNet  Google Scholar 

  20. Rizzi, A., Viviand, H. (eds.): Numerical Methods for the Computation of Inviscid Transonic Flows with Shock Waves, Notes on Numerical Fluid Mechanics, vol. 3, Friedr. Vieweg & Sohn, Braunschweig (1981)

    Google Scholar 

  21. Rusanov, V.V.: A three-dimensional supersonic gas flow past smooth blunt bodies. In: Proceedings of the 11th International Congress of Applied Mechanics, pp. 774–778 (1964)

    Google Scholar 

  22. Rusanov, V.V.: A blunt body in a supersonic stream. Ann. Rev. Fluid Mech. 8, 377–404 (1976)

    Article  Google Scholar 

  23. Salas, M.D.: A Shock-Fitting Primer. Applied Mathematics and Nonlinear Science Series. Chapman & Hall/CRC, Hampton, VA (2009)

    Google Scholar 

  24. Salas, M.D.: Shock fitting method for complicated two-dimensional supersonic flows. AIAA J. 14, 583–588 (1976)

    Article  MATH  Google Scholar 

  25. Southwell, R.V.: Relaxation Methods in Engineering Science. Oxford University Press, Oxford (1940)

    Google Scholar 

  26. Van Dyke, M.D., Gordon, H.D.: Supersonic Flow Past a Family of Blunt Axisymmetric Bodies, NASA TR R-1 (1959)

    Google Scholar 

  27. von Neumann, J., Richtmyer, R.D.: A method for the numerical calculation of hydrodynamic shocks. J. App. Phys. 21, 232–237 (1950)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. NASA Langley Research Center, Hampton, VA, 23681, USA

    Manuel D. Salas

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  1. Manuel D. Salas
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Correspondence to Manuel D. Salas .

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Editors and Affiliations

  1. , Department of Maths & Mechanics, St Petersburg State University, St Petersburg, Russian Federation

    Alexander Kuzmin

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Salas, M.D. (2011). A Brief History of Shock-Fitting. In: Kuzmin, A. (eds) Computational Fluid Dynamics 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17884-9_3

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  • DOI: https://doi.org/10.1007/978-3-642-17884-9_3

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