Seán Prunty Prunty Introduction to Simple Shock Waves in Air

Introduction to Simple Shock Waves in Air

von Seán Prunty

With Numerical Solutions Using Artificial Viscosity

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Beschreibung

This book provides an elementary introduction to 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, with artificial viscosity introduced into the numerical calculations in order to deal with shocks. This treatment of the subject is focused on the finite-difference approach to solve the coupled differential equations of fluid flow and 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 expanded second edition features substantial new material on sound wave parameters, Riemann's method for numerical integration of the equations of motion, approximate analytical expressions for weak shock waves, short duration piston motion, numerical results for shockwave interactions, and new appendices on the piston withdrawal problem and numerical results for a closed shock tube.
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.
This book provides an elementary introduction to 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, with artificial viscosity introduced into the numerical calculations in order to deal with shocks. This treatment of the subject is focused on the finite-difference approach to solve the coupled differential equations of fluid flow and 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 expanded second edition features substantial new material on sound wave parameters, Riemann's method for numerical integration of the equations of motion, approximate analytical expressions for weak shock waves, short duration piston motion, numerical results forshock wave interactions, and new appendices on the piston withdrawal problem and numerical results for a closed shock tube.

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.
Expanded with substantial new material Shows how to solve nonlinear equations of fluid flow in the presence of shocks Compares results of numerical examples with theoretical predictions Demonstrates use of Mathcad to obtain numerical solutions

Autor*in

Seán Prunty

Themen in »Introduction to Simple Shock Waves in Air«

compressible flow rankine hugoniot equations Spherical shock waves shock waves in air plane shock waves weak shock waves sound wave parameters numerical analysis of shock waves finite difference approach to fluid flow explosive shock waves

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Details

ISBN: 9783030636050
Verlag: Springer International Publishing
Erscheinung: 23.01.2021

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