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Introduction to Simple Shock Waves in Air [electronic resource] : With Numerical Solutions Using Artificial Viscosity / by Seán Prunty.

By: Prunty, Seán [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Shock Wave and High Pressure Phenomena: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XIII, 247 p. 93 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030025656.Subject(s): Fluid mechanics | Continuum mechanics | Mathematical physics | Engineering Fluid Dynamics | Continuum Mechanics | Mathematical Physics | Mathematical Methods in PhysicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 620.1064 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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.
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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.

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.

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