Numerical generation of transparent boundary conditions on the side surface of a vertical transverse isotropic layerстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 26 сентября 2016 г.
Аннотация:We consider elastodynamics in transversely isotropic media with vertical symmetry axis.
The governing equations are the two-dimensional second-order system for displacements.
A numerical method for generating transparent boundary conditions on the cylindrical
surface is proposed. The correspondent operator is non-local in both z-direction and
time: it handles low-frequency spatial harmonics of the solution convolving their Fourier
coefficients with sums-of-exponentials kernels with respect to time. Test calculations show
high accuracy, efficiency, and stability of the proposed non-reflecting conditions even for
those media parameters where PML fails.