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-β 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.

Numerical modelling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods

Bonetti, Stefano;Botti, Michele;Mazzieri, Ilario;Antonietti, Paola F.
2023-01-01

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-β 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.
2023
Discontinuous Galerkin method, Thermo-poroelasticity, Wave propagation, Polygonal and polyhedral meshes
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1241137
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