Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods. (English) Zbl 07705916
Summary: 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.
MSC:
| 65Nxx | Numerical methods for partial differential equations, boundary value problems |
| 65Mxx | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |
| 76Sxx | Flows in porous media; filtration; seepage |
Keywords:
discontinuous Galerkin method; thermo-poroelasticity; wave propagation; polygonal and polyhedral meshesSoftware:
PolyMesherReferences:
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