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Introduction to Simple Shock Waves in Air

With Numerical Solutions Using Artificial Viscosity

  • Book
  • © 2019

Overview

Authors:
  1. Seán Prunty

    1. Ballincollig, Ireland

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  • Helps solve nonlinear equations of fluid flow in the presence of shocks
  • Includes results of numerical examples compared with theoretical predictions to solidify the concepts
  • Results arise from the numerical solution using Mathcad

Part of the book series: Shock Wave and High Pressure Phenomena (SHOCKWAVE)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Brief Outline of the Equations of Fluid Flow

    • Seán Prunty
    Pages 1-34

  3. Waves of Finite Amplitude

    • Seán Prunty
    Pages 35-79

  4. Conditions Across the Shock: The Rankine-Hugoniot Equations

    • Seán Prunty
    Pages 81-109

  5. Numerical Treatment of Plane Shocks

    • Seán Prunty
    Pages 111-156

  6. Spherical Shock Waves: The Self-Similar Solution

    • Seán Prunty
    Pages 157-215

  7. Numerical Treatment of Spherical Shock Waves

    • Seán Prunty
    Pages 217-242

  8. Back Matter

    Pages 243-247
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Keywords

About this book

This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air. The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner. Artificial viscosity is introduced into the numerical calculations in order to deal with shocks. The presentation is restricted to the finite-difference approach to solve the coupled differential equations of fluid flow as distinct from finite-volume or finite-element methods. This text presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air. 

This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.

Authors and Affiliations

  • Ballincollig, Ireland

    Seán Prunty

About the author

Dr. Seán Prunty is a former senior lecturer in electrical and electronic engineering at University College Cork Ireland. He has a primary degree and a Ph.D. degree, both in experimental physics, from the University of Dublin, Trinity College. He has thirty years of teaching experience and has carried out research in such areas as atomic physics and laser technology as well as in far-infrared polarimetry and electromagnetic scattering for plasma physics applications. He collaborated for many years on research in the fusion energy research area in Italy, England and Switzerland. Since his retirement in 2009 he has taken a particular interest in shock wave propagation.

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