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A Kind of Discrete Non-Reflecting Boundary Conditions for Varieties of Wave Equations

A Kind of Discrete Non-Reflecting Boundary Conditions for Varieties of Wave Equations In this paper, a new kind of discrete non-reflecting boundary conditions is developed. It can be used for a variety of wave equations such as the acoustic wave equation, the isotropic and anisotropic elastic wave equations and the equations for wave propagation in multi-phase and so on. In this kind of boundary conditions, the composition of all artificial reflected waves, but not the individual reflected ones, is considered and eliminated. Thus, it has a uniform formula for different wave equations. The velocity C A of the composed reflected wave is determined in the way to make the reflection coefficients minimal, the value of which depends on equations. In this paper, the costruction of the boundary conditions is illustrated and C A is found, numerical results are presented to illustrate the effectiveness of the boundary conditions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A Kind of Discrete Non-Reflecting Boundary Conditions for Varieties of Wave Equations

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References (11)

Publisher
Springer Journals
Copyright
Copyright © 2002 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s102550200029
Publisher site
See Article on Publisher Site

Abstract

In this paper, a new kind of discrete non-reflecting boundary conditions is developed. It can be used for a variety of wave equations such as the acoustic wave equation, the isotropic and anisotropic elastic wave equations and the equations for wave propagation in multi-phase and so on. In this kind of boundary conditions, the composition of all artificial reflected waves, but not the individual reflected ones, is considered and eliminated. Thus, it has a uniform formula for different wave equations. The velocity C A of the composed reflected wave is determined in the way to make the reflection coefficients minimal, the value of which depends on equations. In this paper, the costruction of the boundary conditions is illustrated and C A is found, numerical results are presented to illustrate the effectiveness of the boundary conditions.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jan 1, 2002

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