Excerpt from A Finite Difference Method for the Solution of Free Boundary Problems
Free boundary problems are among the most difficult to treat either analytically or numerically. Examples of such problems are found in the occurrence of jets or cavities in classical hydrodynamics, where the location of a portion F of the boundary is unknown. These problems can be formula ted in terms of a stream function w which is the solution of a Dirichlet problem in the flow region of the physical plane.
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Excerpt from A Finite Difference Method for the Solution of Free Boundary Problems
Free boundary problems are among the most difficult to treat either analytically or numerically. Examples of such problems are found in the occurrence of jets or cavities in classical hydrodynamics, where the location of a portion F of the boundary is unknown. These problems can be formula ted in terms of a stream function w which is the solution of a Dirichlet problem in the flow region of the physical plane.
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.
Excerpt from A Finite Difference Method for the Solution of Free Boundary Problems
The subject of this paper is the formulation and implementation of a finite difference method for treating these problems which is both stable and consistent. There are two difficulties which must be overcome in such an approach.
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.
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Paperback. Condición: New. Print on Demand. This book outlines a new systematic iterative procedure for solving steady free boundary problems, which are common in plasma physics and fluid dynamics. Free boundary problems are difficult to solve because they involve a complex equation that describes the behaviour of a fluid, and an unknown boundary that is determined by the solution to the equation. The author's method involves introducing a fixed rectangle as the parameter domain, and seeking the solution as a conformal transformation from the rectangle to the physical plane. The book provides a detailed description of the method, including the derivation of the governing equations, the formulation of the equations for specific models, and the numerical implementation. The author also presents the results of computations for several models, including the vena contracta and Riabouchinsky models for both plane and axially symmetric geometries, and a simplified equilibrium model of plasma physics. The book concludes with a discussion of the accuracy and convergence of the method, and its potential for solving a variety of problems with two independent variables. 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. Nº de ref. del artículo: 9781334226588_0
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781334226588
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781334226588
Cantidad disponible: 15 disponibles
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Condición: New. KlappentextrnrnExcerpt from A Finite Difference Method for the Solution of Free Boundary ProblemsFree boundary problems are among the most difficult to treat either analytically or numerically. Examples of such problems are found in the . Nº de ref. del artículo: 2148124182
Cantidad disponible: Más de 20 disponibles