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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.
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A Finite Difference Method for the Solution of Free Boundary Problems
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781334226588_0
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Zustand: 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 . Bestandsnummer des Verkäufers 2148124182
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