2 TECHNIQUES FOR THE ABSORPTION OF ELASTIC-WAVES USING AN ARTIFICIAL TRANSITION LAYER

Citation
Yg. Zhang et J. Ballmann, 2 TECHNIQUES FOR THE ABSORPTION OF ELASTIC-WAVES USING AN ARTIFICIAL TRANSITION LAYER, Wave motion, 25(1), 1997, pp. 15-33
Citations number
19
Categorie Soggetti
Physics,Acoustics,Mechanics
Journal title
ISSN journal
01652125
Volume
25
Issue
1
Year of publication
1997
Pages
15 - 33
Database
ISI
SICI code
0165-2125(1997)25:1<15:2TFTAO>2.0.ZU;2-3
Abstract
The paper deals with the treatment of artificial boundaries within the framework of characteristic-based finite difference methods for the p ropagation of elastic waves inlarge or infinite solids. In order to re strict the computational domain mainly to the area of technical intere st and to suppress non-physical reflections on its boundary, an absorb ing transition layer adjacent to this kernel area is used. The transit ion layer is designed to match the material properties in the kernel a rea so that outgoing waves can propagate across the interface between the kernel area and the transition layer without reflection and are al most absorbed in that layer. Two different techniques are adopted for the transition layer. One gradually reduces the amplitude of waves in the transition layer, and the other modifies the wave speeds there. To gether with dissipative finite difference schemes, both techniques sho w numerical efficiency. Numerical examples including cracked media, wh ere plane wave fronts: and curved wave fronts (e.g. radiating from the crack tip) occur, are presented.