Comparison of two time-marching schemes for dynamic rupture simulation with a space-domain BIEM
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- Noda, Hiroyuki
- Disaster Prevention Research Institute, Kyoto University
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- Sato, Dye S.K.
- Disaster Prevention Research Institute, Kyoto University
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- Kurihara, Yuuki
- Graduate School of Science, Kyoto University
Description
The boundary integral equation method (BIEM) is one of the important numerical techniques used to simulate geophysical phenomena including dynamic propagation, nucleation, and sequence of earthquake ruptures. We studied the stability and convergence of two time-marching schemes numerically for 2-D problems in Mode I, II, and III conditions. One was a conventional method based on piecewise-constant spatiotemporal distribution of the rate of displacement gap V (CM), and the other was a slightly modified scheme from a predictor–corrector method previously applied to a spectral BIEM (NL). In the stability analysis, we simulated behavior of a traction-free fault under uncorrelated random distributions of initial traction. The growth rate of the perturbation is negative in a parameter regime of complex shape with CM, which has two numerical parameters, and the intersection for all the modes is very restricted as reported previously. In contrast, NL has only one parameter and yields simpler and a wide parameter regime of stability, conceivably allowing more flexible meshing on the fault. In the convergence analysis in which a smooth problem was solved, CM resulted in a numerical error scaled as Δx1 while NL led to the scaling of Δx2 typically or of Δx1.5 under certain conditions in Mode II problems. NL requires negligible additional computational costs and modification of the code is quite straightforward relative to CM. Therefore, we conclude that NL is a useful time-marching scheme that has wide applicability in simulations of earthquake ruptures although the reason for the rather complicated convergence behavior and verification of the findings here to more general conditions deserve further study.
Journal
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- Earth, Planets and Space
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Earth, Planets and Space 72 1-, 2020
Springer Nature
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Details 詳細情報について
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- CRID
- 1050850092121518848
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- NII Article ID
- 120006956723
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- ISSN
- 13438832
- 18805981
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- HANDLE
- 2433/261240
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- Crossref
- CiNii Articles
- KAKEN
