Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
Keywords
Advanced Numerical Methods for Scientific Computing
Geosciences/Protection of Land and Water Resources
Code:
25/2023
Title:
Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
Date:
Thursday 16th March 2023
Author(s):
Bonetti, S.; Botti, M.; Mazzieri, I.; Antonietti, P.F.
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Abstract:
We present and analyze a high-order discontinuous Galerkin method for the space discretization of the wave propagation model in thermo-poroelastic media. The proposed scheme supports general polytopal grids.
Stability analysis and hp-version error estimates in suitable energy norms are derived for the semi-discrete problem. The fully-discrete scheme is then obtained based on employing an implicit Newmark-$\beta$ time integration scheme. A wide set of numerical simulations is reported, both for the verification of the theoretical estimates and for examples of physical interest. A comparison with the results of the poroelastic model is provided too, highlighting the differences between the predictive capabilities of the two models.