Read A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint)

A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint)

Christoph Borgers

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Description:Excerpt from A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 We develop a modification of Peskin's Lagrangian fractional step method for the incompressible Navier-Stokes equations. This new method is substantially more efficient than the one originally proposed by Peskin. On a grid with N points, the work per time step is proportional to NlogN. This gain in efficiency is accomplished by modifying the splitting and by using a multigrid method for the solution of the resulting systems of equations. The method uses finite difference operators constructed with the aid of Voronoi diagrams. We have implemented it on a periodic domain in the plane. We describe an efficient algorithm for the numerical construction of periodic Voronoi diagrams in the plane. We believe that this algorithm can easily be generalized to higher space dimensions. We report on numerical experiments with our method. We solve test problems with known solutions, and we compute a flow evolving from an initial vortex blob. Our results indicate that the method is convergent of first order. As an application of our method, we present a fully Lagrangian variant of Peskin's algorithm for the treatment of elastic boundaries immersed in the fluid, and we report on numerical results obtained with this algorithm. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint). To get started finding A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1332148840

Description: Excerpt from A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 We develop a modification of Peskin's Lagrangian fractional step method for the incompressible Navier-Stokes equations. This new method is substantially more efficient than the one originally proposed by Peskin. On a grid with N points, the work per time step is proportional to NlogN. This gain in efficiency is accomplished by modifying the splitting and by using a multigrid method for the solution of the resulting systems of equations. The method uses finite difference operators constructed with the aid of Voronoi diagrams. We have implemented it on a periodic domain in the plane. We describe an efficient algorithm for the numerical construction of periodic Voronoi diagrams in the plane. We believe that this algorithm can easily be generalized to higher space dimensions. We report on numerical experiments with our method. We solve test problems with known solutions, and we compute a flow evolving from an initial vortex blob. Our results indicate that the method is convergent of first order. As an application of our method, we present a fully Lagrangian variant of Peskin's algorithm for the treatment of elastic boundaries immersed in the fluid, and we report on numerical results obtained with this algorithm. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint). To get started finding A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint)

A Lagrangian Fractional Step Method for the Incompressible Navier-Stokes Equations: October 1985 (Classic Reprint)

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