An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling

Statistics – Computation

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

4

Surface Waves And Free Oscillations, Site Effects, Computational Seismology, Wave Propagation

Scientific paper

We present a discontinuous Galerkin finite-element method (DG-FEM) formulation with Convolutional Perfectly Matched Layer (CPML) absorbing boundary condition for 3-D elastic seismic wave modelling. This method makes use of unstructured tetrahedral meshes locally refined according to the medium properties (h-adaptivity), and of approximation orders that can change from one element to another according to an adequate criterion (p-adaptivity). These two features allow us to significantly reduce the computational cost of the simulations. Moreover, we have designed an efficient CPML absorbing boundary condition, both in terms of absorption and computational cost, by combining approximation orders in the numerical domain. A quadratic interpolation is typically used in the medium to obtain the required accuracy, while lower approximation orders are used in the CPMLs to reduce the total computational cost and to obtain a well-balanced workload over the processors. While the efficiency of DG-FEMs have been largely demonstrated for high approximation orders, we favour the use of low approximation orders as they are more appropriate to the applications we are interested in. In particular, we address the issues of seismic modelling and seismic imaging in cases of complex geological structures that require a fine discretization of the medium. We illustrate the efficiency of our approach within the framework of the EUROSEISTEST verification and validation project, which is designed to compare high-frequency (up to 4 Hz) numerical predictions of ground motion in the Volvi basin (Greece). Through the tetrahedral meshing, we have achieved fine discretization of the basin, which appears to be a sine qua non condition for accurate computation of surface waves diffracted at the basin edges. We compare our results with predictions computed with the spectral element method (SEM), and demonstrate that our method yields the same level of accuracy with computation times of the same order of magnitude.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1483012

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.