A Detached Shock Calculation by Second Order Finite Differences
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.49
Quantity: Over 20 available
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Print on Demand. This book presents a numerical approach to solve a detached shock problem for a symmetric curved convex cylindrical body moving parallel to its plane of symmetry. The author introduces new concepts such as an easily applied artificial viscosity term that maintains the calculation’s high accuracy while removing non-linear instabilities that can appear in the shock region and near boundaries. Another new innovation is a transformation that changes the curved body into a straight line, reducing the need for irregular shaped mesh regions and special points in the difference method calculation. The author shows that such transformations preserve the conservation property of the system of differential equations that underpin this approach. This book also provides insights into the stability and accuracy of the computation, contrasting it with a previous non-conservative method which frequently produced erroneous results. Its exploration into the detailed workings of this numerical approach make this book a valuable resource for those interested in a detailed understanding of the intricacies of this method. 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 # 9781333498665_0
- Title
- A Detached Shock Calculation by Second Order Finite Differences
- Author
- Arnold Lapidus
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333498667
- ISBN 13
- 9781333498665
- Seller catalogs
- Calculus
A detached shock problem for a symmetric curved convex cylindrical body moving parallel to its plane of symmetry was solved using a third order accurate Richtmyer form of the lax-wendroff conservation equations. One innovation is an easy to use artificial viscosity term which preserves the high order of accuracy of the calcula tion while removing the non-linear instabilities which otherwise appear in the shock region and near boundaries. Another innovation is a simple transformation of Cartesian space which changes the curved body into a straight line, thus reducing the large number of special points and irregularly shaped mesh regions which would otherwise appear in the difference method calculation. Such trans formations are shown to preserve the conservation property of the system of differential equations. Other aspects of the third order artificial viscosity term and the trans formation are discussed. The results of a numerical.
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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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