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

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2023年 / 489卷

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

页数：23

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