A Detached Shock Calculation by Second Order Finite Differences Classic Reprint
Arnold Lapidus
ISBN 10: 1333498667 ISBN 13: 9781333498665
Verlag: Forgotten Books, 2018
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Excerpt from A Detached Shock Calculation by Second Order Finite Differences
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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Titel: A Detached Shock Calculation by Second Order...
Verlag: Forgotten Books
Erscheinungsdatum: 2018
Einband: PAP
Zustand: New
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A Detached Shock Calculation by Second Order Finite Differences
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Paperback. Zustand: New. 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 calculationâs 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. print-on-demand item. Bestandsnummer des Verkäufers 9781333498665_0
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A Detached Shock Calculation by Second Order Finite Differences Classic Reprint
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