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Waves of Finite Amplitude

  • Seán Prunty
Chapter
Part of the Shock Wave and High Pressure Phenomena book series (SHOCKWAVE)

Abstract

The propagation of waves of finite amplitude and the change in wave profile leading to the formation of shock waves is the subject matter of this chapter. Simple examples of piston motion are presented to illustrate the formation of a normal shock wave and the time and place for its formation are also discussed. A brief introduction to Riemann invariants and the method of characteristics is presented and some examples to illustrate the method of characteristics in solving partial differential equations are outlined. The solution of nonlinear equations that result in the characteristics intersecting and the formation of shock waves are illustrated. The chapter concludes with some examples to illustrate the application of the method of characteristics and Riemann invariants to simple flow problems involving piston motion.

Keywords

Waves of finite amplitude Shock waves Riemann invariants Method of characteristics Nonlinear distortion 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Seán Prunty
    • 1
  1. 1.BallincolligIreland

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