Global Discrete Artificial Boundary Conditions For Time Dependent Wave Propagation

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Global Discrete Artificial Boundary Conditions For Timedependent Wave Propagation

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Author :
language : en
Publisher: DIANE Publishing
Release Date :

Global Discrete Artificial Boundary Conditions For Timedependent Wave Propagation written by and has been published by DIANE Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Global Discrete Artificial Boundary Conditions For Time Dependent Wave Propagation

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Author : Victor S. Ryabenkii
language : en
Publisher: DIANE Publishing
Release Date : 2001

Global Discrete Artificial Boundary Conditions For Time Dependent Wave Propagation written by Victor S. Ryabenkii and has been published by DIANE Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Boundary value problems categories.

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.

Global Discrete Artificial Boundary Conditions For Time Dependent Wave Propagation Final Report Nasa

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Author : United States. National Aeronautics and Space Administration
language : en
Publisher:
Release Date : 2003*

Global Discrete Artificial Boundary Conditions For Time Dependent Wave Propagation Final Report Nasa written by United States. National Aeronautics and Space Administration and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003* with categories.

Topics In Computational Wave Propagation

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Author : Mark Ainsworth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topics In Computational Wave Propagation written by Mark Ainsworth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This volume consists ofsurvey articles on current topics in computational wave prop agation and inverse problems, written by leading experts in their respective fields. The idea to compile such a volume arose in conjunction with the LMS Durham Symposium on Computational Methods for Wave Propagation in Direct Scattering held at the University of Durham from 15th-25th July 2002, which we jointly or ganised. The meeting, attended by 70 participants from the UK and overseas, was structured around a number of short, three lecture, survey courses on a range of top ics on computational wave propagation and inverse problems beginning at the level of a graduate student. We were delighted to secure the participation of distinguished international researchers to present these lectures. We felt that it would be valuable to record this material for the benefit of a wider audience, and the idea was hatched that the individual lecturers should be invited to contribute a survey article. Fortunately, many of the speakers not only agreed to undertake this arduous task, but produced what we hope you will agree are the high quality contributions found in this volume. Finally, it is a pleasure to thank the Engineering and Physical Sciences Research Council of Great Britain and the London Mathematical Society for providing the generous support that allowed the meeting to take place. Mark Ainsworth Glasgow, 2003 Penny Davies Dugald Duncan Paul Martin Bryan Rynne Contents New Results on Absorbing Layers and Radiation Boundary Conditions Thomas Hagstrom .

Mathematical And Numerical Aspects Of Wave Propagation Waves 2003

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Author : Gary Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical And Numerical Aspects Of Wave Propagation Waves 2003 written by Gary Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

This volume includes articles on the mathematical modeling and numerical simulation of various wave phenomena. For many years Waves 2003 and its five prior conferences have been an important forum for discussions on wave propagation. The topic is equally important for fundamental sciences, engineering, mathematics and, in particular, for industrial applications. Areas of specific interest are acoustics, electromagnetics, elasticity and related inverse and optimization problems. This book gives an extensive overview of recent developments in a very active field of scientific computing.

Fundamental Trends In Fluid Structure Interaction

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Author : Giovanni Paolo Galdi
language : en
Publisher: World Scientific
Release Date : 2010-04-30

Fundamental Trends In Fluid Structure Interaction written by Giovanni Paolo Galdi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-30 with Science categories.

The interaction of a fluid with a solid body is a widespread phenomenon in nature, occurring at different scales and different applied disciplines. Interestingly enough, even though the mathematical theory of the motion of bodies in a liquid is one of the oldest and most classical problems in fluid mechanics, mathematicians have, only very recently, become interested in a systematic study of the basic problems related to fluid-structure interaction, from both analytical and numerical viewpoints.Fundamental Trends in Fluid-Structure Interaction is a unique collection of important papers written by world-renowned experts aimed at furnishing the highest level of development in several significant areas of fluid-structure interactions. The contributions cover several aspects of this discipline, from mathematical analysis, numerical simulation and modeling viewpoints, including motion of rigid and elastic bodies in a viscous liquid, particulate flow and hemodynamic.

Absorbing Boundaries And Layers Domain Decomposition Methods

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Author : L. Tourrette
language : en
Publisher: Nova Publishers
Release Date : 2001

Absorbing Boundaries And Layers Domain Decomposition Methods written by L. Tourrette and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

CD-ROM contains: Sections omitted from printing of text.

Frontiers And Prospects Of Contemporary Applied Mathematics

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Author : Pingwen Zhang
language : en
Publisher: World Scientific
Release Date : 2006-04-17

Frontiers And Prospects Of Contemporary Applied Mathematics written by Pingwen Zhang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-17 with Mathematics categories.

This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.

Time Dependent Phase Space Filters

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Author : Avy Soffer
language : en
Publisher: Springer Nature
Release Date : 2023-05-04

Time Dependent Phase Space Filters written by Avy Soffer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-04 with Mathematics categories.

This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations. Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.

Siam Journal On Scientific Computing

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Author :
language : en
Publisher:
Release Date : 2004

Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematical statistics categories.