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Author: William Yeung Publisher: ISBN: Category : Languages : en Pages : 50
Book Description
The purpose of this effort was to study the construction of novel energy absorbing boundary conditions for use at the artificial far field boundaries of exterior wave problems. One approach was pursued which involves the superposition of the solutions for a fixed boundary and for a free boundary. An analytic model was used to identify the cause of the small errors that result in the cancellation process of this approach. This model showed that the appropriate velocity at the free boundary has to be modified when the computational time step is less than the maximum stable time step. First and second order corrections have been developed.
Author: William Yeung Publisher: ISBN: Category : Languages : en Pages : 50
Book Description
The purpose of this effort was to study the construction of novel energy absorbing boundary conditions for use at the artificial far field boundaries of exterior wave problems. One approach was pursued which involves the superposition of the solutions for a fixed boundary and for a free boundary. An analytic model was used to identify the cause of the small errors that result in the cancellation process of this approach. This model showed that the appropriate velocity at the free boundary has to be modified when the computational time step is less than the maximum stable time step. First and second order corrections have been developed.
Author: A. H. -S. Ang Publisher: ISBN: Category : Languages : en Pages : 162
Book Description
A numerical discrete-element method of wave motion analysis is summarized and extended for problems involving infinite or semi-infinite solid media in plane and axi-symmetric conditions. Space discretization of a solid medium is accomplished through a lumped-parameter discrete-element model of the medium, whereas the time discretization is embedded within a general numerical integrator. This invariably leads to a system of finite difference equations; thus, the required mathematical conditions for numerical stability can be developed on the basis of available finite difference theory. Explicit stability conditions for plane and axi-symmetric problems are presented. Calculations of wave motions in an infinite or semi-infinite space can be confined to a finite region or interest if the region is terminated by suitable transmitting boundaries such that no significant reflections are generated at these artificial boundaries. Based on the concept of a step-wise transmission of D'Alembert forces, a general transmitting boundary was developed for the discrete-element method of analysis. The boundary was verified extensively through actual calculations of plane strain and axi-symmetric problems, including those with layered half-spaces, elastic-plastic systems, and a problem involving long calculation time. (Author).
Author: HEINRICH Publisher: Birkhäuser ISBN: 3034871961 Category : Science Languages : en Pages : 207
Book Description
The finite difference and finite element methods are powerful tools for the approximate solution of differential equations governing diverse physical phenomena, and there is extensive literature on these discre tization methods. In the last two decades, some extensions of the finite difference method to irregular networks have been described and applied to solving boundary value problems in science and engineering. For instance, "box integration methods" have been widely used in electro nics. There are several papers on this topic, but a comprehensive study of these methods does not seem to have been attempted. The purpose of this book is to provide a systematic treatment of a generalized finite difference method on irregular networks for solving numerically elliptic boundary value problems. Thus, several disadvan tages of the classical finite difference method can be removed, irregular networks of triangles known from the finite element method can be applied, and advantageous properties of the finite difference approxima tions will be obtained. The book is written for advanced undergraduates and graduates in the area of numerical analysis as well as for mathematically inclined workers in engineering and science. In preparing the material for this book, the author has greatly benefited from discussions and collaboration with many colleagues who are concerned with finite difference or (and) finite element methods.
Author: Ivan Dimov Publisher: Springer ISBN: 3319202391 Category : Computers Languages : en Pages : 443
Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014. The 36 revised full papers were carefully reviewed and selected from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.
Author: William Yeung
Author: William Yeung
Author: A. H. -S. Ang
Author: Nancy Jane Cyrus
Author: HEINRICH
Author: Ivan Dimov
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Author: Paul F. Hadala
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