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Asynchronous space-time domain decomposition method with localized uncertainty quantification

机译:具有局部不确定性量化的异步时空分解方法

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The computational cost associated with uncertainty quantification of engineering problems featuring localized phenomenon can be reduced by confining the random variability of the model parameters within a region of interest. In this case, a localized treatment of mesh and time resolutions is required to capture the effect of the confined material uncertainty on the global response. We present a computational approach for localized uncertainty quantification with the capability of asynchronous treatment of mesh and time resolutions. In particular, we allow each subdomain to have its local uncertainty representation and the corresponding mesh and time resolutions. As a result, computing resources can be directed toward a small region of interest where a model with high spatial and temporal resolutions is required. To verify the numerical implementation, we consider elastic wave propagation in an axially loaded beam. Moreover, we perform convergence studies with respect to the spatial and temporal discretizations as well as the size of an uncertain subdomain. A projectile impacting a composite sandwich plate is considered as an engineering application for the proposed method. (C) 2017 Elsevier B.V. All rights reserved.
机译:通过将模型参数的随机变量限制在感兴趣的区域内,可以减少与以局部现象为特征的工程问题的不确定性量化相关的计算成本。在这种情况下,需要对网格和时间分辨率进行局部处理,以捕获受限材料不确定性对整体响应的影响。我们提出了一种具有异步处理网格和时间分辨率功能的局部不确定性量化计算方法。特别是,我们允许每个子域都有其局部不确定性表示形式以及相应的网格和时间分辨率。结果,计算资源可以被引导到需要具有高空间和时间分辨率的模型的关注的小区域。为了验证数值实现,我们考虑了在轴向加载梁中的弹性波传播。此外,我们进行关于空间和时间离散化以及不确定子域大小的收敛研究。撞击复合夹芯板的弹丸被认为是该方法的工程应用。 (C)2017 Elsevier B.V.保留所有权利。

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