Standard

Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media. / Kostin, Victor; Lisitsa, Vadim; Reshetova, Galina et al.

In: Journal of Computational Physics, Vol. 281, 05.01.2015, p. 669-689.

Research output: Contribution to journal › Article › peer-review

Harvard

Kostin, V, Lisitsa, V, Reshetova, G & Tcheverda, V 2015, 'Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media', Journal of Computational Physics, vol. 281, pp. 669-689. https://doi.org/10.1016/j.jcp.2014.10.047

APA

Kostin, V., Lisitsa, V., Reshetova, G., & Tcheverda, V. (2015). Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media. Journal of Computational Physics, 281, 669-689. https://doi.org/10.1016/j.jcp.2014.10.047

Vancouver

Kostin V, Lisitsa V, Reshetova G, Tcheverda V. Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media. Journal of Computational Physics. 2015 Jan 5;281:669-689. doi: 10.1016/j.jcp.2014.10.047

Author

Kostin, Victor ; Lisitsa, Vadim ; Reshetova, Galina et al. / Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media. In: Journal of Computational Physics. 2015 ; Vol. 281. pp. 669-689.

BibTeX

@article{435b855b9cfd447a865c382221fc1696,
title = "Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media",
abstract = "This paper presents an original approach to local time-space grid refinement for the numerical simulation of wave propagation in models with localized clusters of micro-heterogeneities. The main features of the algorithm are. -the application of temporal and spatial refinement on two different surfaces;-the use of the embedded-stencil technique for the refinement of grid step with respect to time;-the use of the Fast Fourier Transform (FFT)-based interpolation to couple variables for spatial mesh refinement. The latter makes it possible to perform filtration of high spatial frequencies, which provides stability in the proposed finite-difference schemes.In the present work, the technique is implemented for the finite-difference simulation of seismic wave propagation and the interaction of such waves with fluid-filled fractures and cavities of carbonate reservoirs. However, this approach is easy to adapt and/or combine with other numerical techniques, such as finite elements, discontinuous Galerkin method, or finite volumes used for approximation of various types of linear and nonlinear hyperbolic equations.",
keywords = "Explicit time-domain finite-difference schemes, Fast fourier transform, Interpolation, Seismic waves",
author = "Victor Kostin and Vadim Lisitsa and Galina Reshetova and Vladimir Tcheverda",
year = "2015",
month = jan,
day = "5",
doi = "10.1016/j.jcp.2014.10.047",
language = "English",
volume = "281",
pages = "669--689",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media

AU - Kostin, Victor

AU - Lisitsa, Vadim

AU - Reshetova, Galina

AU - Tcheverda, Vladimir

PY - 2015/1/5

Y1 - 2015/1/5

N2 - This paper presents an original approach to local time-space grid refinement for the numerical simulation of wave propagation in models with localized clusters of micro-heterogeneities. The main features of the algorithm are. -the application of temporal and spatial refinement on two different surfaces;-the use of the embedded-stencil technique for the refinement of grid step with respect to time;-the use of the Fast Fourier Transform (FFT)-based interpolation to couple variables for spatial mesh refinement. The latter makes it possible to perform filtration of high spatial frequencies, which provides stability in the proposed finite-difference schemes.In the present work, the technique is implemented for the finite-difference simulation of seismic wave propagation and the interaction of such waves with fluid-filled fractures and cavities of carbonate reservoirs. However, this approach is easy to adapt and/or combine with other numerical techniques, such as finite elements, discontinuous Galerkin method, or finite volumes used for approximation of various types of linear and nonlinear hyperbolic equations.

AB - This paper presents an original approach to local time-space grid refinement for the numerical simulation of wave propagation in models with localized clusters of micro-heterogeneities. The main features of the algorithm are. -the application of temporal and spatial refinement on two different surfaces;-the use of the embedded-stencil technique for the refinement of grid step with respect to time;-the use of the Fast Fourier Transform (FFT)-based interpolation to couple variables for spatial mesh refinement. The latter makes it possible to perform filtration of high spatial frequencies, which provides stability in the proposed finite-difference schemes.In the present work, the technique is implemented for the finite-difference simulation of seismic wave propagation and the interaction of such waves with fluid-filled fractures and cavities of carbonate reservoirs. However, this approach is easy to adapt and/or combine with other numerical techniques, such as finite elements, discontinuous Galerkin method, or finite volumes used for approximation of various types of linear and nonlinear hyperbolic equations.

KW - Explicit time-domain finite-difference schemes

KW - Fast fourier transform

KW - Interpolation

KW - Seismic waves

UR - http://www.scopus.com/inward/record.url?scp=84910089340&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2014.10.047

DO - 10.1016/j.jcp.2014.10.047

M3 - Article

AN - SCOPUS:84910089340

VL - 281

SP - 669

EP - 689

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

ER -

ID: 25778755