A Numerical Technique for Solution of Multidimension Hydrodynamic Problems PDF Download
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Author: R. Bjork
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 132
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Book Description
This Memorandum discusses in detail a numerical method for solving the compressible, hydrodynamic equations under the limitations of (1) two space dimensions, (2) the inviscid approximation, and (3) the adiabatic approximation. The method allows for the occurrence of shocks, contact discontinuities, and interfaces. Under a proper prescription of initial and boundary conditions, the method generates solutions including the above physical phenomena. The basis of the method is the extension to two space dimensions of the particle-in-cell (PIC) concept first proposed by Harlow for a one-dimensional computational scheme. The computational method approximates a set of partial differential equations containing terms in addition to those of the compressible, hydrodynamic equations under the approximations cited. The computational scheme contains a feature known as grid-changing, which permits optimum resolution of all phases of the problem using the limited memory capacity of present day electronic computers. (Author).
Author: R. Bjork
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 132
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Book Description
This Memorandum discusses in detail a numerical method for solving the compressible, hydrodynamic equations under the limitations of (1) two space dimensions, (2) the inviscid approximation, and (3) the adiabatic approximation. The method allows for the occurrence of shocks, contact discontinuities, and interfaces. Under a proper prescription of initial and boundary conditions, the method generates solutions including the above physical phenomena. The basis of the method is the extension to two space dimensions of the particle-in-cell (PIC) concept first proposed by Harlow for a one-dimensional computational scheme. The computational method approximates a set of partial differential equations containing terms in addition to those of the compressible, hydrodynamic equations under the approximations cited. The computational scheme contains a feature known as grid-changing, which permits optimum resolution of all phases of the problem using the limited memory capacity of present day electronic computers. (Author).
Author: O.M. Belotserkovskii
Publisher:
ISBN:
Category : Differentional equations, Nonlinear
Languages : en
Pages : 446
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Book Description
Preparing the English translation the author has completely revised the Russian edition of 1994. The new versions and generalizations of computational algorithms which were intensively developed by the method of splitting with respect to physical processes are described.
Author: U.S. Atomic Energy Commission
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 86
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Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 834
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Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 888
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Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1416
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Book Description
Author: Harwood G. Kolsky
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 74
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Book Description
Author: Jean-Alain Marck
Publisher: Cambridge University Press
ISBN: 9780521590655
Category : Science
Languages : en
Pages : 496
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Book Description
The most authoritative and up-to-date review of gravitational radiation available including free CD-ROM.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 918
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Book Description
Author: Richard E. Meyer
Publisher: Academic Press
ISBN: 1483264602
Category : Technology & Engineering
Languages : en
Pages : 356
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Book Description
Mathematics Research Center Symposium: Transonic, Shock, and Multidimensional Flows: Advances in Scientific Computing covers the lectures presented at a Symposium on Transonic, Shock, and Multidimensional Flows, held in Madison on May 13-15, 1981, under the auspices of the Mathematics Research Center of the University of Wisconsin. The book focuses on the advancements in the scientific computation of high-speed aerodynamic phenomena and related fluid motions. The selection first elaborates on computational fluid dynamics of airfoils and wings; shock-free configurations in two- and three-dimensional transonic flow; and steady-state solution of the Euler equations for transonic flow. Discussions focus on boundary conditions, convergence acceleration, indirect design of airfoils, and trailing edge and the boundary layer. The text then examines the calculation of transonic potential flow past three-dimensional configurations and remarks on the numerical solution of Tricomi-type equations. The manuscript ponders on the design and numerical analysis of vortex methods, shock calculations and the numerical solution of singular perturbation problems, tracking of interfaces for fluid flow, and transonic flows with viscous effects. Topics include numerical algorithm, difference approximation for scalar equations, boundary conditions, transonic flow in a tube, and governing equations. The selection is a dependable reference for researchers interested in transonic, shock, and multidimensional flows.
