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A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint) - Softcover
Synopsis
Excerpt from A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985
Most of the recent work on Layangian methods concenn'ates on inviscid flow. In this thesis, however, we shall study a Layangian method for the viscous, incompressible navier-stokes equations, using primitive variables. We now give an introduction to this method.
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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.
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About the Author
Christoph Borgers has been a Professor in the Department of Mathematics at Tufts University since 1994. He has also worked at the University of Michigan and at the IBM T. J. Watson Research Center. He received his PhD from New York University.
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- PublisherForgotten Books
- Publication date2020
- ISBN 10 1332148840
- ISBN 13 9781332148844
- BindingPaperback
- Number of pages95
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A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book presents a method for studying the Navier-Stokes equations using Lagrangian coordinates, which simplifies their treatment by moving the grid with the flow. The author provides a new fractional step method that is faster than the method originally proposed by Peskin. It uses multigrid methods for the solution of the resulting systems of equations, which enables the method to be used to conduct experiments on grids of substantially larger size. Another advantage is the use of finite difference operators constructed with the aid of Voronoi diagrams, which increases the computational efficiency. The method is applied to a periodic domain in the plane, with the author describing an efficient algorithm for the construction of Voronoi diagrams in such domains that can be generalized to higher dimensional spaces. Numerical experiments indicate that the method is of first order and convergent. The author also describes an algorithm for immersed boundaries, which allows for the treatment of elastic boundaries immersed in the fluid. Overall, this book provides a significant contribution to the field of computational fluid dynamics by introducing a new fractional step method for the Navier-Stokes equations that is more efficient than existing methods and can be applied to larger problems. Forgotten Books publishes hundreds of thousands of rare and classic books. 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. The digital edition of all books may be viewed on our website before purchase. print-on-demand item. Seller Inventory # 9781332148844_0
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A Lagrangian Fractional Step Method for the Incompressible NavierStokes Equations October 1985 Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332148844
Quantity: 15 available
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A Lagrangian Fractional Step Method for the Incompressible NavierStokes Equations October 1985 Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332148844
Quantity: 15 available