A Mixed-Flux-Based Nodal Discontinuous Galerkin Method for 3D Dynamic Rupture Modeling

Zhang, Wenqiang1; Liu, Yajing1; Chen, Xiaofei2,3

2023-06-01

10.1029/2022JB025817

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH   影响因子和分区

2169-9313

2169-9356

Numerical simulation of rupture dynamics provides critical insights for understanding earthquake physics, while the complex geometry and heterogeneous material properties of natural faults make numerical method development challenging. The discontinuous Galerkin (DG) method is suitable for handling these complexities. In the DG method, the fault boundary conditions can be conveniently imposed through the upwind flux by solving a Riemann problem based on a velocity-strain elastodynamic equation. However, the universal adoption of upwind flux can cause spatial oscillations in cases where elements on adjacent sides of the fault surface are not nearly symmetric. Here we propose a nodal DG method with an upwind/central mixed-flux scheme to solve the spatial oscillation problem and thus reduce the dependence on mesh quality. Our method can achieve high scalability in parallel computing under different orders of accuracy. We verify the new method by comparing simulation results with those from other methods on a series of published benchmark problems with complex fault geometries, heterogeneous materials, off-fault plasticity, roughness, thermal pressurization, and various versions of fault friction laws. Finally, we demonstrate that our method can be applied to simulate the dynamic rupture process of the 2008 Mw 7.9 Wenchuan earthquake along realistic fault geometry, including branches, step-overs and a previously neglected sub-parallel fault segment, offering a high potential to systematically explore the influences of fault zone properties on earthquake rupture dynamics.

SCI

英语

NI论文

其他

National Natural Science Foundation of China[U1901602] ; Guangdong Provincial Key Laboratory of Geophysical High-resolution Imaging Technology[2022B1212010002] ; Natural Sciences and Engineering Research Council of Canada (NSERC)[RGPAS/522498-2018] ; Digital Research Alliance of Canada[2601]

Geochemistry & Geophysics

Geochemistry & Geophysics

WOS:001007330200001

AMER GEOPHYSICAL UNION

GEOSCIENCES

Web of Science

1.McGill Univ, Dept Earth & Planetary Sci, Montreal, PQ, Canada
2.Southern Univ Sci & Technol, Guangdong Prov Key Lab Geophys High Resolut Imagin, Shenzhen, Peoples R China
3.Southern Univ Sci & Technol, Dept Earth & Space Sci, Shenzhen, Peoples R China

Zhang, Wenqiang,Liu, Yajing,Chen, Xiaofei. A Mixed-Flux-Based Nodal Discontinuous Galerkin Method for 3D Dynamic Rupture Modeling[J]. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH,2023,128(6).

Zhang, Wenqiang,Liu, Yajing,&Chen, Xiaofei.(2023).A Mixed-Flux-Based Nodal Discontinuous Galerkin Method for 3D Dynamic Rupture Modeling.JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH,128(6).

Zhang, Wenqiang,et al."A Mixed-Flux-Based Nodal Discontinuous Galerkin Method for 3D Dynamic Rupture Modeling".JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH 128.6(2023).