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

被引：5

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

共 50 条

[21] A simple and accurate discontinuous Galerkin scheme for modeling scalar-wave propagation in media with curved interfaces [J].

Zhang, Xiangxiong ;

Tan, Sirui .

GEOPHYSICS, 2015, 80 (02) :T83-T89

[22] Wavefield simulation with the discontinuous Galerkin method for a poroelastic wave equation in triple-porosity media [J].

Huang, Jiandong ;

Yang, Dinghui ;

He, Xijun ;

Chang, Yunfan .

GEOPHYSICS, 2023, 88 (03) :T121-T135

[23] Joint Modeling of Wave Phenomena by Applying the GridCharacteristic Method and the Discontinuous Galerkin Method [J].

Petrov, I. B. ;

Favorskaya, A., V .

DOKLADY MATHEMATICS, 2022, 106 (02) :356-360

[24] Time domain numerical modeling of wave propagation in poroelastic media with Chebyshev rational approximation of the fractional attenuation [J].

Xie, Jiangming ;

Li, Maojun ;

Ou, Miao-Jung .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (17) :13087-13109

[25] Numerical resolution of discontinuous Galerkin methods for time dependent wave equations [J].

Zhong, Xinghui ;

Shu, Chi-Wang .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (41-44) :2814-2827

[26] Discrete and continuum methods for numerical simulations of non-linear wave propagation in discontinuous media [J].

Vorobiev, Oleg .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 83 (04) :482-507

[27] Numerical modeling of anisotropic ferroelectric materials with hybridizable discontinuous Galerkin methods [J].

Lei, Wenyu .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (16) :17522-17543

[28] Modeling of acoustic wave propagation in time-domain using the discontinuous Galerkin method - A comparison with measurements [J].

Simonaho, Simo-Pekka ;

Lahivaara, Timo ;

Huttunen, Tomi .

APPLIED ACOUSTICS, 2012, 73 (02) :173-183

[29] Numerical modeling of the brain poromechanics by high-order discontinuous Galerkin methods [J].

Corti, Mattia ;

Antonietti, Paola F. ;

Dede', Luca ;

Quarteroni, Alfio M. .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2023, 33 (08) :1577-1609

[30] Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains [J].

Abboud, Toufic ;

Joly, Patrick ;

Rodriguez, Jeronimo ;

Terrasse, Isabelle .

JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (15) :5877-5907

← 1 2 3 4 5 →