Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Local time-space mesh refinement for simulation of elastic wave propagation in multi-scale media. / Kostin, Victor; Lisitsa, Vadim; Reshetova, Galina и др.
в: Journal of Computational Physics, Том 281, 05.01.2015, стр. 669-689.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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