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Isogeometric numerical dispersion analysis for two-dimensional elastic wave propagation

Authors
Journal
Computer Methods in Applied Mechanics and Engineering
0045-7825
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/j.cma.2014.09.013
Keywords
  • Elastodynamics
  • Elastic Waves Propagation
  • Isogeometric Analysis
  • Numerical Dispersion Analysis
Disciplines
  • Mathematics

Abstract

Abstract In this paper, we carry out a numerical dispersion analysis for the linear two-dimensional elastodynamics equations approximated by means of NURBS-based Isogeometric Analysis in the framework of the Galerkin method; specifically, we consider the analysis of harmonic plane waves in an isotropic and homogeneous elastic medium. We compare and discuss the errors associated with the compressional and shear wave velocities and we provide the anisotropic curves for numerical approximations obtained by considering B-spline and NURBS basis functions of different regularity, namely globally C0- and Cp−1-continuous, p being 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.

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