Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems
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摘要
Many geophysical phenomena are characterized by properties that evolve over a wide range of scales which introduce difficulties when attempting to model these features in one computational method. We have developed a high-order finite difference method for the elastic wave equation that is able to efficiently handle varying temporal and spatial scales in a single, stand-alone framework. We apply this method to earthquake cycle models characterized by extremely long interseismic periods interspersed with abrupt, short periods of dynamic rupture. Through the use of summation-by-parts operators and weak enforcement of boundary conditions we derive a provably stable discretization. Time stepping is achieved through the implicit θ-method which allows us to take large time steps during the intermittent period between earthquakes and adapts appropriately to fully resolve rupture.
论文关键词:Stable,High-order,Finite differences,Time-integration,Earthquakes
论文评审过程:Received 1 October 2013, Revised 2 April 2014, Available online 28 April 2014.
论文官网地址:https://doi.org/10.1016/j.cam.2014.04.019