Items related to A Detached Shock Calculation by Second Order Finite...

A Detached Shock Calculation by Second Order Finite Differences (Classic Reprint) - Softcover

Arnold Lapidus

 
9781333498665: A Detached Shock Calculation by Second Order Finite Differences (Classic Reprint)

Synopsis

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.

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