Acta Mechanica

, Volume 94, Issue 1–2, pp 105–112 | Cite as

An efficient marching algorithm for waterhammer analysis by the method of characteristics

  • P. Thanapandi


A new fast and efficient marching algorithm is introduced to solve the basic quasilinear, hyperbolic partial differential equations describing unsteady, flow in conduits by the method of characteristics. The details of the marching method are presented with an illustration of the waterhammer problem in a simple piping system both for friction and frictionless cases. It is shown that for the same accuracy the new marching method requires fewer computational steps, less computer memory and time.


Differential Equation Dynamical System Partial Differential Equation Fluid Dynamics Transport Phenomenon 
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  1. [1]
    Parmakian, J.: Waterhammer analysis. New York: Dover 1963.Google Scholar
  2. [2]
    Abbott, M. B.: An introduction to the method of characteristics. New York: American Elsevier 1966.Google Scholar
  3. [3]
    Evangelisti, G.: Waterhammer analysis by method of characteristics. L'Energ. Elec. Vol., XIVI, Nos. 10, 11, 12. Milan 1969.Google Scholar
  4. [4]
    Wylie, E. B., Streeter, V. L.: Fluid transients. McGraw-Hill 1978.Google Scholar
  5. [5]
    Chaudhry, M. H.: Applied hydraulic transients. New York: Van Nostrand 1978.Google Scholar
  6. [6]
    Chaudhry, M. H., Hussaini, M. Y.: Second-order accurate explicit finite-difference schemes for waterhammer analysis. Trans. ASME: J. Fluids Engng.107, 523–529 (1985).Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • P. Thanapandi
    • 1
  1. 1.Department of Civil EngineeringIndian Institute of ScienceBangaloreIndia

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