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Compact finite difference modeling of 2-D acoustic wave propagation

Author
Córdova, L.; Rojas, O.; Otero, B.; Castillo, J.
Type of activity
Journal article
Journal
Journal of computational and applied mathematics
Date of publication
2016-03-15
Volume
295
First page
83
Last page
91
DOI
https://doi.org/10.1016/j.cam.2015.09.037 Open in new window
Repository
http://hdl.handle.net/2117/85841 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0377042715000618 Open in new window
Abstract
We present two fourth-order compact finite difference (CFD) discretizations of the velocity–pressure formulation of the acoustic wave equation in 2-D rectangular grids. The first method uses standard implicit CFD on nodal meshes and requires solving tridiagonal linear systems along each grid line, while the second scheme employs a novel set of mimetic CFD operators for explicit differentiation on staggered grids. Both schemes share a Crank–Nicolson time integration decoupled by the Peaceman...
Citation
Córdova, L., Rojas, O., Otero, B., Castillo, J. Compact finite difference modeling of 2-D acoustic wave propagation. "Journal of computational and applied mathematics", 15 Març 2016, vol. 295, p. 83-91.
Keywords
ADI methods, Acoustic media, Mimetic finite differences, Schemes
Group of research
VIRTUOS - Virtualisation and Operating Systems

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