Introduction to Simple Shock Waves in Air With Numerical Solutions Using Artificial Viscosity

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...

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Bibliographic Details
Main Author: Prunty, Seán
Format: eBook
Language:English
Published: Cham Springer International Publishing 2019, 2019
Edition:1st ed. 2019
Series:Shock Wave and High Pressure Phenomena
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Introduction to Simple Shock Waves in Air  |h Elektronische Ressource  |b With Numerical Solutions Using Artificial Viscosity  |c by Seán Prunty 
250 |a 1st ed. 2019 
260 |a Cham  |b Springer International Publishing  |c 2019, 2019 
300 |a XIII, 247 p. 93 illus  |b online resource 
505 0 |a Brief outline of the equations of fluid flow -- Waves of finite amplitude -- Conditions across the shock: the Rankine-Hugoniot equations -- Numerical treatment of plane shocks -- Spherical shock waves: the self-similar solution -- Numerical treatment of spherical shock waves 
653 |a Engineering Fluid Dynamics 
653 |a Fluid mechanics 
653 |a Continuum mechanics 
653 |a Mathematical Physics 
653 |a Mathematical physics 
653 |a Continuum Mechanics 
653 |a Mathematical Methods in Physics 
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490 0 |a Shock Wave and High Pressure Phenomena 
028 5 0 |a 10.1007/978-3-030-02565-6 
856 4 0 |u https://doi.org/10.1007/978-3-030-02565-6?nosfx=y  |x Verlag  |3 Volltext 
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520 |a 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 mechanicsand the level of presentation