scholarly journals Alternating direction implicit time integrations for finite difference acoustic wave propagation: Parallelization and convergence

2020 ◽  
Vol 205 ◽  
pp. 104584
Author(s):  
B. Otero ◽  
O. Rojas ◽  
F. Moya ◽  
J.E. Castillo
Keyword(s):  
Wave Propagation ◽  
Finite Difference ◽  
Acoustic Wave ◽  
Implicit Time ◽  
Acoustic Wave Propagation ◽  
Alternating Direction Implicit ◽  
Alternating Direction

The role and application of entropy terms for acoustic wave modeling by the finite‐difference method

Geophysics ◽  
1984 ◽  
Vol 49 (9) ◽  
pp. 1457-1465 ◽  
Author(s):  
M. A. Dablain
Keyword(s):  
Wave Propagation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Acoustic Wave ◽  
Difference Scheme ◽  
Acoustic Wave Propagation ◽  
Central Difference ◽  
Central Difference Scheme ◽  
One Dimensional ◽  
The Finite Difference Method

The significance of entropy‐like terms is examined within the context of the finite‐difference modeling of acoustic wave propagation. The numerical implications of dissipative mechanisms are tested for performance within two very distinct differencing algorithms. The two schemes which are reviewed with and without dissipation are (1) the standard central‐difference scheme, and (2) the Lax‐Wendroff two‐step scheme. Numerical results are presented comparing the short‐wavelength response of these schemes. In order to achieve this response, the linearized version of an exploding one‐dimensional source is used.

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