Shock Waves & Explosions

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CRC Press, Apr 19, 2016 - Mathematics - 296 pages
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Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics.

Offering an introductory review of historic research, Shock Waves and Explosions brings analytic and computational methods to a wide audience in a clear and thorough way. Beginning with an overview of the research on combustion and gas dynamics in the 1970s and 1980s, the author brings you up to date by covering modeling techniques and asymptotic and perturbative methods and ending with a chapter on computational methods.

Most of the book deals with the mathematical analysis of explosions, but computational results are also included wherever they are available. Historical perspectives are provided on the advent of nonlinear science, as well as on the mathematical study of the blast wave phenomenon, both when visualized as a point explosion and when simulated as the expansion of a high-pressure gas.

This volume clearly reveals the ingenuity of the human mind to conceptualize, model, and mathematically analyze highly complicated nonlinear phenomena such as nuclear explosions. It presents a solid foundation of knowledge that encourages further research and original ideas.
 

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Contents

Introduction
1
The Piston Problem
15
The Blast Wave
49
Shock Propagation Theories Some Initial Studies
137
Some Exact Analytic Solutions of Gasdynamic Equations Involving Shocks
153
Converging Shock Waves
177
Spherical Blast Waves Produced by Sudden Expansion of a High Pressure Gas
195
Numerical Simulation of Blast Waves
225
References
265
Index
275
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About the author (2016)

Sachdev, Indian Institute of Science.

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