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

被引:6
作者
Bonetti, Stefano [1 ]
Botti, Michele [1 ]
Mazzieri, Ilario [1 ]
Antonietti, Paola F. [1 ]
机构
[1] Politecn Milan, MOX Dept Math, Pzza Leonardo da Vinci 32, I-20133 Milan, Italy
关键词
Discontinuous Galerkin method; Thermo-poroelasticity; Wave propagation; Polygonal and polyhedral meshes; FINITE-ELEMENT-METHOD; APPROXIMATION;
D O I
10.1016/j.jcp.2023.112275
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We present , 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.& COPY; 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数:23
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