Shock Waves & Explosions

List of contents

Introduction. The Piston Problem. The Blast Wave. Shock Propagation Theories--Some Initial Studies. Some Exact Analytic Solutions of Gasdynamic Equations Involving Shocks. Converging Shock Waves. Spherical Bast Waves Produced by Sudden Expansion of a High Pressure Gas. Numerical Simulation of Blast Waves.

About the author

Sachdev, P.L.

Summary

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.

Additional text

"The historical treatment of the subject is, in my opinion, extremely interesting and at U.S. $100 the book is well worth reading." - SIAM Review "The mathematics of explosions has spawned many original ideas in the theory of nonlinear partial differential equations, and this book shows that it remains a very fruitful topic of study and research."-Zentralblatt MATH

Product details

• Authors: Haim Brezis, P. L. Sachdev, P.L. Sachdev, P.l. (Indian Institute of Science Sachdev
• Assisted by: Haim Brezis (Editor of the series), Alan Jeffrey (Editor of the series), P.L. Sachdev (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 31.08.2019
• EAN: 9780367394172
• ISBN: 978-0-367-39417-2
• No. of pages: 290
• Series: Monographs and Surveys in Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; TECHNOLOGY & ENGINEERING / Mechanical, MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Combinatorics, Mechanical Engineering, Discrete Mathematics, Fluid mechanics, Mechanics of fluids, Combinatorics & graph theory, Applied mathematics, Physics: Fluid mechanics, Engineering: Mechanics of fluids, Combinatorics and graph theory