Computational methods in hydrodynamic stability: Hydropack

  • John M. GerstingJr.
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 76)


Annular Flow Hydrodynamic Stability Differential Correction Plane Poiseuille Flow Algebraic Eigenvalue Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Lin, C.C., The Theory of Hydrodynamic Stability, Cambridge Univ. Press, 1955.Google Scholar
  2. 2.
    Thomas, L.H., "The stability of plane Poiseuille flow", Phys. Rev. 91 (1953), 780–783.CrossRefGoogle Scholar
  3. 3.
    Gersting, J.M., and Jankowski, D.F., "Numerical methods for Orr-Sommerfeld problems", Inter. J. for Numer. Meth. in Engr. 4 (1972), 195–206.Google Scholar
  4. 4.
    Nachtsheim, R.R., "An initial value method for the numerical treatment of the Orr-Sommerfeld equation for the case of plane Poiseuille flow", NASA TND-2414, 1964.Google Scholar
  5. 5.
    Kaplan, R.E., "The stability of laminar incompressible boundary layers in the presence of compliant boundaries", M.I.T. Aeroelastic and Structures Laboratory Report ASRL TR 116-1 (1964), (AD 601 779).Google Scholar
  6. 6.
    Conte, S.D., "The numerical solution of linear boundary value problems", SIAM Rev., 8 (1966), 309–321.Google Scholar
  7. 7.
    Silverston, S., "ORTNRM — a FORTRAN subroutine package for the solution of linear two-point boundary value problems", Purdue Univ. Computer Sciences Dept. Report CSD TR 18, 1968.Google Scholar
  8. 8.
    Scott, M.R., and Watts, H.A., "SUPORT — a computer code for two-point boundary value problems via orthonormalization", Sandia Laboratories Report SAND 75-0198, 1975.Google Scholar
  9. 9.
    Gersting, J.M., "Numerical methods for eigensystems: the Orr-Sommerfeld problem", Comp. and Math. with Appl. 3 (1977), 47–52.Google Scholar
  10. 10.
    Funderlic, R.E., The Programmer's Handbook, Union Carbide Corp., Oak Ridge, Tenn., 1968 (AD K-1729).Google Scholar
  11. 11.
    Holt, J.G., "ASC MULE general root finding subroutine", Aerospace Corp. Report TOR-0073(9320)-8, 1973.Google Scholar
  12. 12.
    Lee, L.H., and Reynolds, W., "A variational method for investigating the stability of parallel flows", Tech. Rep. No. FM 1, Thermosciences Div., Dept. of Mech. Engr., Stanford Unov., 1964.Google Scholar
  13. 13.
    Sheppard, D.M., "The hydrodynamic stability of the flow between parallel porous walls", Phys. of Fluids, 15 (1972), 241–244.Google Scholar
  14. 14.
    Vargo, J.J., The Hydrodynamic Stability of Plane Couette-Poiseuille Flow, Masters Thesis, Arizona State Univ., Tempe, Ariz., 1969.Google Scholar
  15. 15.
    Gersting, J.M., "Hydrodynamic stability of plane porous slip flow", Phys. of Fluids, 17 (1974), 2126–2127.Google Scholar
  16. 16.
    Mott, J.E., and Joseph, D.D., "Stability of parallel flow between concentric cylinders", Phys. of Fluids, 11 (1968), 2065–2073.Google Scholar
  17. 17.
    Moorman, M.O., Jankowski, D.J., and Gersting, J.M., "Stability of parallel flows of a dusty gas in an annulus", Devel. in Mech., 7 (1973), 167–177.Google Scholar
  18. 18.
    Gersting, J. M., and Jankowski, D.F., "The hydrodynamic stability of two axisymmetric annular flows", Devel. in Mech., 6 (1971), 179–192.Google Scholar
  19. 19.
    Gersting, J.M., "The hydrodynamic stability of Couette-Poiseuille-porous annular flow", Trans. ASME — J. of Appl. Mech., 39 (1972), 840–842.Google Scholar
  20. 20.
    Potter, M. C., "Stability of plane Couette-Poiseuille flow", Phys. of Fluids, 24 (1966), 609–619.Google Scholar
  21. 21.
    Garbow, B.S., "EISPACK — a package of matrix eigensystem routines", Comp. Phys. Comm., 7 (1974), 179–184.Google Scholar
  22. 22.
    Muller, E.D., "A method for solving algebraic equations using an automatic computer", Math. of Comp., 10 (1956), 208–215.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • John M. GerstingJr.
    • 1
  1. 1.Computer Science and Engineering ScienceIndiana University-Purdue University at IndianapolisIndianapolis

Personalised recommendations