High-order fully discrete methods for the equations of elastic wave propagation with absorbing boundary conditions

1995 ◽  
Vol 15 (3) ◽  
pp. 377-404 ◽  
Author(s):  
CHARALAMBOS G. MAKRIDAKISJ
Keyword(s):  
Wave Propagation ◽  
Boundary Conditions ◽  
Elastic Wave ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Elastic Wave Propagation ◽  
Absorbing Boundary ◽  
Fully Discrete ◽  
Discrete Methods ◽  
Fully Discrete Methods

Local Dirichlet-type absorbing boundary conditions for transient elastic wave propagation problems

2020 ◽  
Vol 362 ◽  
pp. 112856 ◽  
Author(s):  
Farshid Mossaiby ◽  
Arman Shojaei ◽  
Bijan Boroomand ◽  
Mirco Zaccariotto ◽  
Ugo Galvanetto
Keyword(s):  
Wave Propagation ◽  
Boundary Conditions ◽  
Elastic Wave ◽  
Absorbing Boundary Conditions ◽  
Elastic Wave Propagation ◽  
Absorbing Boundary ◽  
Dirichlet Type

OPTIMISED ABSORBING BOUNDARY CONDITIONS FOR ELASTIC-WAVE PROPAGATION

2001 ◽  
Vol 09 (03) ◽  
pp. 1005-1014
Author(s):  
A. LANGE ◽  
J. ZHOU ◽  
N. SAFFARI
Keyword(s):  
Wave Propagation ◽  
Boundary Conditions ◽  
Elastic Wave ◽  
Normal Incidence ◽  
Absorbing Boundary Conditions ◽  
Elastic Wave Propagation ◽  
Reflection Coefficients ◽  
Absorbing Boundary ◽  
Wide Range ◽  
Complete Absorption

Second-order absorbing boundary conditions for numerical modeling of elastic-wave propagation are studied. The corresponding reflection coefficients are derived, from which a necessary and sufficient condition for complete absorption at normal incidence is deduced. We define a family of absorbing boundary conditions from symmetrically specified zero reflection incidences. Conditions to avoid singular reflection coefficients are given for this case, these ensure that the solutions of the elastic wave equation also satisfy the boundary conditions. These are then optimised over a wide range of materials, and absorbing boundary conditions that give an efficient absorption for the whole range are obtained. We also compare the results with absorbing boundary conditions developed from the least-squares solution of the system requiring complete absorption at all incidences. The best set of conditions are presented and compared with Clayton and Engquist6 (A2) condition.

An optimal absorbing boundary condition for elastic wave modeling

Geophysics ◽  
1995 ◽  
Vol 60 (1) ◽  
pp. 296-301 ◽  
Author(s):  
Chengbin Peng ◽  
M. Nafi Toksöz
Keyword(s):  
Boundary Condition ◽  
Wave Propagation ◽  
Finite Difference ◽  
Boundary Conditions ◽  
Elastic Wave ◽  
Short Note ◽  
Absorbing Boundary Conditions ◽  
Parallel Computer ◽  
Absorbing Boundary Condition ◽  
Absorbing Boundary

Absorbing boundary conditions are widely used in numerical modeling of wave propagation in unbounded media to reduce reflections from artificial boundaries (Lindman, 1975; Clayton and Engquist, 1977; Reynolds, 1978; Liao et al., 1984; Cerjan et al., 1985; Randall, 1988; Higdon, 1991). We are interested in a particular absorbing boundary condition that has maximum absorbing ability with a minimum amount of computation and storage. This is practical for 3-D simulation of elastic wave propagation by a finite‐difference method. Peng and Toksöz (1994) developed a method to design a class of optimal absorbing boundary conditions for a given operator length. In this short note, we give a brief introduction to this technique, and we compare the optimal absorbing boundary conditions against those by Reynolds (1978) and Higdon (1991) using examples of 3-D elastic finite‐difference modeling on an nCUBE-2 parallel computer. In the Appendix, we also give explicit formulas for computing coefficients of the optimal absorbing boundary conditions.

High-order Absorbing Boundary Conditions for anisotropic and convective wave equations

2010 ◽  
Vol 229 (4) ◽  
pp. 1099-1129 ◽  
Author(s):  
Eliane Bécache ◽  
Dan Givoli ◽  
Thomas Hagstrom
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Absorbing Boundary

High order local absorbing boundary conditions for acoustic and elastic scattering

2020 ◽  
Vol 148 (4) ◽  
pp. 2451-2451
Author(s):  
Vianey Villamizar ◽  
Tahsin Khajah ◽  
Sebastian Acosta ◽  
Dane Grundvig ◽  
Jacob Badger ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Boundary Conditions ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Absorbing Boundary
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