Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography
This study presents an alternative meshless boundary collocation approach,
the singular boundary method (SBM), in conjunction with the image concept for simulating
SH wave scattering by the canyon topography. First the image concept is implemented
to extend the original semi-infinite domain problems to infinite domain problems.
Then the SBM has been used to solve the infinite domain problems. In the SBM
it employs the singular fundamental solutions as basis functions and introduces the
concept of source intensity factor to regularize the singularities of the related fundamental
solutions, which avoids singular numerical integrals in the boundary element
method. To demonstrate the effectiveness of the proposed approach for SH wave scattering
by the canyon topography, several benchmark examples are considered. The
present results are compared with the analytical solutions, the null-field boundary integral
equation method.
