Time-dependent techniques for the solution of viscous, heat conducting, chemically reacting, radiating discontinuous flows

  • Ephraim L. Rubin
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 109)


Shock Wave Mach Number Difference Scheme Vector Density Conservation Form 
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IV. References

  1. 1.
    Lax, P. D. and Wendroff, B.: System of Conservation Laws. Comm. Pure Applied Math., 13, pp. 217–237, 1960.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Richtmyer, R. D.: A Survey of Difference Methods for Non-Steady Fluid Dynamics, NCAR Technical Note 63-2, 1962.Google Scholar
  3. 3.
    Rubin, E. L. and Burstein, S. Z.: Difference Methods for the Inviscid and Viscous Equations of a Compressible Gas. J. Comp. Phys., 2, pp. 178–196, 1967.CrossRefzbMATHGoogle Scholar
  4. 4.
    Anderson, J. L., Preiser, S. and Rubin, E. L.: Conservation Form of the Equations of Hydrodynamics in Curvilinear Coordinate Systems. J. Comp. Phys., 2, pp. 279–287, 1968.CrossRefzbMATHGoogle Scholar
  5. 5.
    Rubin, E. L. and Preiser, S.: Three-Dimensional Second Order Accurate Difference Schemes for Discontinuous Hydrodynamic Flows. Polytechnic Institute of Brooklyn, PIBAL Report No. 68-24, July 1968.Google Scholar
  6. 6.
    Rubin, E. L. and Khosla, P. K.: On the Use of Time-Dependent Methods in the Solution of Inviscid Radiation Problems. Polytechnic Institute of Brooklyn, PIBAL Report No. 68-33, November 1968.Google Scholar
  7. 7.
    Rubin, E. L. and Khosla, P. K.: The Shock Structure of a Viscous Heat Conducting Radiating Gas. Polytechnic Institute of Brooklyn, (in preparation).Google Scholar
  8. 8.
    Palumbo, D. J. and Rubin, E. L.: The Inviscid Chemical Non-equilibrium Flow Behind a Moving Normal Shock Wave. Polytechnic Institute of Brooklyn, PIBAL Report No. 68-18, June 1968.Google Scholar
  9. 9.
    Benison, G. and Rubin, E. L.: A Difference Method for the Solution of the Unsteady Quasi-One-Dimensional Viscous Flow in a Divergent Duct. Polytechnic Institute of Brooklyn, PIBAL Report No. 69-9, March 1969.Google Scholar
  10. 10.
    Truesdell, C. and Toupin, R.: The Classical Field Theories. Handbuch der Physik Bd. III/I ed. S. Flugge, Berlin, Springer-Verlag, 1960.Google Scholar
  11. 11.
    Truesdell, C.: The Physical Components of Vectors and Tensors. ZAMM, 33, pp. 345–356, 1953.MathSciNetCrossRefzbMATHGoogle Scholar
  12. 12.
    Eisenhart, L. P.: Continuous Groups of Transformations. Dover Publications, New York, p. 208, 1961.Google Scholar
  13. 13.
    Kreiss, H. O.: On Difference Approximations of the Dissipative Type for Hyperbolic Differential Equations. Comm. Pure Appl. Math., 17, pp. 333–353, 1964.MathSciNetCrossRefGoogle Scholar
  14. 14.
    Heaslet, M. A. and Baldwin, B. S.: Predictions of the Structure of Radiation-Resisted Shock Waves. Phys. Fluids, 6, p. 781, 1963.MathSciNetCrossRefGoogle Scholar
  15. 15.
    Lax, P. D.: Weak Solutions of Nonlinear Hyperbolic Equations and Their Numerical Computation. Comm. Pure Appl. Math., 7, pp. 159–193, 1954.MathSciNetCrossRefzbMATHGoogle Scholar
  16. 16.
    Morduchow, M. and Libby, P. A.: On the Distribution of Entropy Through a Shock Wave. J. de Mecanique, 4, 2, pp. 191–213, June 1965.Google Scholar

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© Springer-Verlag 1969

Authors and Affiliations

  • Ephraim L. Rubin

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