An approximate solution of one-dimensional piston problem

  • M. P. Lazarev
  • Phoolan Prasad
  • S. K. Singh
Original Papers


A new theory of shock dynamics has been developed in the form of a finite number of compatibility conditions along shock rays. It has been used to study the growth or decay of shock strength for accelerating or decelerating piston starting with a nonzero piston velocity. The results show good agreement with those obtained by Harten's high resolution TVD scheme.


High Resolution Approximate Solution Mathematical Method Finite Number Compatibility Condition 
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Copyright information

© Birkhäuser Verlag 1995

Authors and Affiliations

  • M. P. Lazarev
    • 1
  • Phoolan Prasad
    • 2
  • S. K. Singh
    • 3
  1. 1.Institute of the Physics of the EarthRussian Academy of SciencesMoscowRussia
  2. 2.Dept of MathematicsIndian Institute of ScienceBangaloreIndia
  3. 3.Centre for Aeronautical System Studies and AnalysesBangaloreIndia

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