Excerpt from Aec Computing and Applied Mathematics Center: Aec Research and Development Report
In this paper we discuss an implicit numerical scheme for the solution of equations of the type After transu forming the equations into dimensionless form. We change the variables and recombine the equations in a manner that would lead to the characteristic form if the third derivative term were not present in the momentum equation. The initial and boundary conditions assumed to be appropriate for this system are those required by the shallow water theory.
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Paperback. Condizione: 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. Codice articolo 9781330438985_0
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