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Optimal Approximations of Coupling in Multidisciplinary Models

机译:多学科模型中的耦合最佳逼近

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摘要

Design of complex engineering systems requires coupled analyses of the multiple disciplines affecting system performance. The coupling among disciplines typically contributes significantly to the computational cost of analyzing the system, and can become particularly burdensome when coupled analyses are embedded within a design or optimization loop. In many cases, disciplines may be weakly coupled, so that some of the coupling or interaction terms can be neglected without significantly impacting the accuracy of the system output. However, typical practice derives such approximations in an ad hoc manner using expert opinion and domain experience. This paper proposes a new approach that formulates an optimization problem to find a model that optimally balances accuracy of the model outputs with the sparsity of the discipline couplings. An adaptive sequential Monte Carlo sampling-based technique is used to efficiently search the combinatorial model space of different discipline couplings. Finally, an algorithm for optimal model selection is presented and applied to identify the important discipline couplings in a fire detection satellite model and a turbine engine cycle analysis model.
机译:复杂工程系统的设计需要对影响系统性能的多个学科进行耦合分析。学科之间的耦合通常会极大地增加分析系统的计算成本,并且当将耦合分析嵌入到设计或优化循环中时,这尤其会变得很繁重。在许多情况下,学科之间的联系可能较弱,因此可以忽略某些联系或交互项,而不会显着影响系统输出的准确性。但是,典型做法是使用专家意见和领域经验以临时的方式得出这样的近似值。本文提出了一种新方法,该方法提出了一个优化问题,以找到一种模型,该模型可以在模型输出的准确性与学科耦合的稀疏性之间取得最佳平衡。基于自适应顺序蒙特卡洛采样的技术可用于有效地搜索不同学科耦合的组合模型空间。最后,提出了一种用于最佳模型选择的算法,并将其应用于识别火灾探测卫星模型和涡轮发动机循环分析模型中的重要学科耦合。

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