Nonreflecting Boundary Conditions for Time-dependent Wave Propagation PDF Download
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Author: Imbo Sim
Publisher:
ISBN:
Category :
Languages : en
Pages : 124
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Book Description
Author: Imbo Sim
Publisher:
ISBN:
Category :
Languages : en
Pages : 124
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Book Description
Author:
Publisher: DIANE Publishing
ISBN: 142899579X
Category :
Languages : en
Pages : 36
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Book Description
Author: M. J. Grote
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
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Book Description
Author: Marcus J. Grote (Mathematiker)
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Victor S. Ryabenkii
Publisher: DIANE Publishing
ISBN:
Category : Boundary value problems
Languages : en
Pages : 42
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Book Description
We construct global artificial boundary conditions (ABCs) for the numerical simulation of wave processes on unbounded domains using a special non-deteriorating algorithm that has been developed previously for the long-term computation of wave-radiation solutions. The ABCs are obtained directly for the discrete formulation of the problem; in so doing, neither a rational approximation of 'non-reflecting kernels', nor discretization of the continuous boundary conditions is required. The extent of temporal nonlocality of the new ABCs appears fixed and limited; in addition, the ABCs can handle artificial boundaries of irregular shape on regular grids with no fitting/adaptation needed and no accuracy loss induced. The non-deteriorating algorithm, which is the core of the new ABCs, is inherently three-dimensional, it guarantees temporally uniform grid convergence of the solution driven by a continuously operating source on arbitrarily long time intervals, and provides unimprovable linear computational complexity with respect to the grid dimension. The algorithm is based on the presence of lacunae, i.e., aft fronts of the waves, in wave-type solutions in odd-dimension spaces. It can, in fact, be built as a modification on top of any consistent and stable finite-difference scheme, making its grid convergence uniform in time and at the same time keeping the rate of convergence the same as that of the non-modified scheme. In the paper, we delineate the construction of the global lacunae-based ABCs in the framework of a discretized wave equation. The ABCs are obtained for the most general formulation of the problem that involves radiation of waves by moving sources (e.g., radiation of acoustic waves by a maneuvering aircraft). We also present systematic numerical results that corroborate the theoretical design properties of the ABCs' algorithm.
Author: Mark Ainsworth
Publisher: Springer
ISBN: 9783642554841
Category : Mathematics
Languages : en
Pages : 410
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Book Description
These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.
Author: Nijimbere Victor
Publisher:
ISBN: 9780494686195
Category : Atmospheric physics
Languages : en
Pages : 300
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Book Description
Author: Mark Ainsworth
Publisher: Springer Science & Business Media
ISBN: 3642554830
Category : Mathematics
Languages : en
Pages : 408
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Book Description
These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.
Author: Igor T. Selezov
Publisher: Springer
ISBN: 9811049238
Category : Science
Languages : en
Pages : 251
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Book Description
This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.
Author: B. L. N. Kennett
Publisher: Cambridge University Press
ISBN: 9780521006637
Category : Science
Languages : en
Pages : 384
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Book Description
This book provides a guide to understanding of seismograms for graduate students, researchers, professionals in academia and the petroleum industry.
