Aec Computing and Applied Mathematics Center (Classic Reprint)

Jack Heller

ISBN 10: 1330438981 / ISBN 13: 9781330438985

Published by Forgotten Books, 2019

About this Item

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.

Seller Inventory # 9781330438985_0

Bibliographic Details

• Title: Aec Computing and Applied Mathematics Center (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2019
• Language: English
• ISBN 10: 1330438981
• ISBN 13: 9781330438985
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Calculus

About this title

Synopsis

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.

About the Publisher

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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.