Aec Computing and Applied Mathematics Center: Aec Research and Development Report (Classic Reprint) - Softcover
Synopsis
Explore a practical approach to advanced fluid dynamics modeling.
This report introduces an implicit numerical scheme for solving a nonlinear, third-derivative extended version of the shallow water equations. It covers transforming equations to a dimensionless, characteristic-like form and developing a stable finite difference method that handles boundary and initial conditions carefully.
The discussion blends theory with hands-on computation. It shows how to convert complex equations into a computable scheme, manage stability near boundaries, and verify results through numerical experiments on a large IBM computer. You’ll see how the method tracks wave motion, handles discharge as a key variable, and limits artificial reflections at the channel ends. The work emphasizes the practical steps needed to obtain robust solutions without sacrificing physical realism.- Learn how to cast a mixed hyperbolic–third-derivative system into a tractable finite difference scheme.
- See how boundary conditions and conservation laws drive stable, implicit corrections.
- Understand how the discharge variable q is used to advance the solution in time and space.
- Review numerical results that illustrate wave propagation and spreading in a channel.
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Aec Computing and Applied Mathematics Center (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book concerns a method for numerically approximating a non-linear set of parabolic differential equations used in shallow water theory to calculate the shape and rate of propagation of a fluid moving down a channel of constant depth. Difference equations were employed and used to determine the fluid's rate of propagation. The study follows earlier work by Boussinesq, who suggested that the original shallow water equations were deficient as they implied a wave in a channel would inevitably break. The author takes issue with this notion and demonstrates how his numerical method shows waves spreading instead of breaking, which adheres to the improved theory suggested by Boussinesq. The book is a valuable contribution to the field of computational fluid dynamics and is sure to be of interest to researchers and practitioners alike. 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. Seller Inventory # 9781330438985_0
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Aec Computing and Applied Mathematics Center Aec Research and Development Report Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330438985
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