A Numerical Study of a Converging Cylindrical Shock (Classic Reprint)
Language: English
Published by Forgotten Books, 2022
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.15
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book presents a numerical procedure to solve the one-dimensional equations of gas dynamics for a cylindrically or spherically symmetric flow. The method involves combining Glimm's method and operator splitting, eliminating the singular nature near the axis and the inability to put the momentum equation in conservation form, which are major problems in solving such systems. The author applies the method to the problem of a converging cylindrical shock, demonstrating the increase in shock strength as it converges toward the axis. The book provides insights into the behavior of shock waves and contact discontinuities in converging cylindrical flows, offering valuable knowledge for researchers in gas dynamics and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332170616_0
- Title
- A Numerical Study of a Converging Cylindrical Shock (Classic Reprint)
- Author
- Gary A. Sod
- Publisher
- Forgotten Books
- Publication year
- 2022
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332170617
- ISBN 13
- 9781332170616
- Seller catalogs
- Physics
Numerical study of a converging cylindrical shock shows how a careful scheme can capture sharp shock fronts.
The report explains a practical approach to solving the one‑dimensional gas dynamics equations in Cartesian coordinates, while using operator splitting and Glimm’s method to keep shocks and contact discontinuities perfectly sharp.
Readers will see how random sampling and Riemann problems are used to advance the solution, how boundary conditions at the axis are handled, and how the converging shock strengthens and reflects as it approaches the axis. The work also discusses the accompanying ordinary differential equations solved with a simple Euler step and reports on computational requirements and visualization of results.
- How Glimm’s scheme solves Riemann problems exactly and efficiently for shock-dominated flows
- How axis boundary conditions are applied in a cylindrical setting
- What happens to pressure, velocity, density, and energy as a converging shock evolves and reflects
- What the figures and numerical details reveal about the method’s accuracy and behavior
Ideal for readers of computational fluid dynamics and numerical methods who want a concrete example of shock tracking in a converging geometry.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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