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Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation. / Lisitsa, Vadim; Tcheverda, Vladimir; Botter, Charlotte.
в: Journal of Computational Physics, Том 311, 15.04.2016, стр. 142-157.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Combination of the discontinuous Galerkin method with finite differences for simulation of seismic wave propagation
AU - Lisitsa, Vadim
AU - Tcheverda, Vladimir
AU - Botter, Charlotte
PY - 2016/4/15
Y1 - 2016/4/15
N2 - We present an algorithm for the numerical simulation of seismic wave propagation in models with a complex near surface part and free surface topography. The approach is based on the combination of finite differences with the discontinuous Galerkin method. The discontinuous Galerkin method can be used on polyhedral meshes; thus, it is easy to handle the complex surfaces in the models. However, this approach is computationally intense in comparison with finite differences. Finite differences are computationally efficient, but in general, they require rectangular grids, leading to the stair-step approximation of the interfaces, which causes strong diffraction of the wavefield. In this research we present a hybrid algorithm where the discontinuous Galerkin method is used in a relatively small upper part of the model and finite differences are applied to the main part of the model.
AB - We present an algorithm for the numerical simulation of seismic wave propagation in models with a complex near surface part and free surface topography. The approach is based on the combination of finite differences with the discontinuous Galerkin method. The discontinuous Galerkin method can be used on polyhedral meshes; thus, it is easy to handle the complex surfaces in the models. However, this approach is computationally intense in comparison with finite differences. Finite differences are computationally efficient, but in general, they require rectangular grids, leading to the stair-step approximation of the interfaces, which causes strong diffraction of the wavefield. In this research we present a hybrid algorithm where the discontinuous Galerkin method is used in a relatively small upper part of the model and finite differences are applied to the main part of the model.
KW - Discontinuous Galerkin method
KW - Finite differences
KW - Wave propagation
UR - http://www.scopus.com/inward/record.url?scp=84957812998&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2016.02.005
DO - 10.1016/j.jcp.2016.02.005
M3 - Article
AN - SCOPUS:84957812998
VL - 311
SP - 142
EP - 157
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
ER -
ID: 25777334