Gamra : simple meshing for complex earthquakes
The static offsets caused by earthquakes are well described by elastostatic models with a discontinuity in the displacement along the fault. A traditional approach to model this discontinuity is to align the numerical mesh with the fault and solve the equations using finite elements. However, this d...
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sg-ntu-dr.10356-1053592020-09-26T21:25:32Z Gamra : simple meshing for complex earthquakes Landry, Walter Barbot, Sylvain Earth Observatory of Singapore Science::Geology Immersed Interface Method Earthquakes The static offsets caused by earthquakes are well described by elastostatic models with a discontinuity in the displacement along the fault. A traditional approach to model this discontinuity is to align the numerical mesh with the fault and solve the equations using finite elements. However, this distorted mesh can be difficult to generate and update. We present a new numerical method, inspired by the Immersed Interface Method (Leveque and Li, 1994), for solving the elastostatic equations with embedded discontinuities. This method has been carefully designed so that it can be used on parallel machines on an adapted finite difference grid. We have implemented this method in Gamra, a new code for earth modeling. We demonstrate the correctness of the method with analytic tests, and we demonstrate its practical performance by solving a realistic earthquake model to extremely high precision. NRF (Natl Research Foundation, S’pore) MOE (Min. of Education, S’pore) Published version 2019-08-02T03:43:33Z 2019-12-06T21:49:54Z 2019-08-02T03:43:33Z 2019-12-06T21:49:54Z 2016 Journal Article Landry, W., & Barbot, S. (2016). Gamra: Simple meshing for complex earthquakes. Computers & Geosciences, 90, 49-63. doi:10.1016/j.cageo.2016.02.014 0098-3004 https://hdl.handle.net/10356/105359 http://hdl.handle.net/10220/49516 10.1016/j.cageo.2016.02.014 en Computers & Geosciences © 2016 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). 15 p. application/pdf |
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Science::Geology Immersed Interface Method Earthquakes Landry, Walter Barbot, Sylvain Gamra : simple meshing for complex earthquakes |
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The static offsets caused by earthquakes are well described by elastostatic models with a discontinuity in the displacement along the fault. A traditional approach to model this discontinuity is to align the numerical mesh with the fault and solve the equations using finite elements. However, this distorted mesh can be difficult to generate and update. We present a new numerical method, inspired by the Immersed Interface Method (Leveque and Li, 1994), for solving the elastostatic equations with embedded discontinuities. This method has been carefully designed so that it can be used on parallel machines on an adapted finite difference grid. We have implemented this method in Gamra, a new code for earth modeling. We demonstrate the correctness of the method with analytic tests, and we demonstrate its practical performance by solving a realistic earthquake model to extremely high precision. |
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Earth Observatory of Singapore |
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Earth Observatory of Singapore Landry, Walter Barbot, Sylvain |
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Article |
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Landry, Walter Barbot, Sylvain |
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Landry, Walter |
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Gamra : simple meshing for complex earthquakes |
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Gamra : simple meshing for complex earthquakes |
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Gamra : simple meshing for complex earthquakes |
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Gamra : simple meshing for complex earthquakes |
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Gamra : simple meshing for complex earthquakes |
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gamra : simple meshing for complex earthquakes |
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2019 |
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https://hdl.handle.net/10356/105359 http://hdl.handle.net/10220/49516 |
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