Isogeometric numerical dispersion analysis for elastic wave propagation
Monday 5th May 2014
Dede, L.; Jaggli, C.; Quarteroni, A.
In this paper, we carry out a numerical dispersion analysis for the linear elastodynamics equations approximated by means of NURBS-based Isogeometric Analysis in the framwork of the Galerkin method; specifically, we consider the analysis of harminic plane waves in an isotropic and homogeneous elastic medium. We compare and discuss the errors associated to the compressional and shear wave velocities and we provide the anisotropic curves for numerical approximations obtained by considerin B-splines and NURBS basis functions of different regularity, namely globally C^0- and C^(p-1)- continuous, being p the polynomial degree. We conclude our analysis by numerically simulating the seismic wave propagation in a sinusoidal shaped valley with discontinuous elastic parameters across an internal interface.