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: C B Liem
Publisher: World Scientific
ISBN: 9814500593
Category : Mathematics
Languages : en
Pages : 337
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Book Description
The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.
