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

Stefano BonettiMichele BottiIlario MazzieriPaola F. Antonietti

Mar 2023

摘要

We present and analyze a high-order discontinuous Galerkin method for thespace 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 thesemi-discrete problem. The fully-discrete scheme is then obtained based onemploying an implicit Newmark-$\beta$ time integration scheme. A wide set ofnumerical simulations is reported, both for the verification of the theoreticalestimates and for examples of physical interest. A comparison with the resultsof the poroelastic model is provided too, highlighting the differences betweenthe predictive capabilities of the two models.

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