论文标题

混合插值和推理非侵入式降低订单建模与污染物分散剂的应用

Mixed interpolatory and inference non-intrusive reduced order modeling with application to pollutants dispersion

论文作者

Poussot-Vassal, Charles, Sabatier, Tiphaine, Sarrat, Claire, Vuillemin, Pierre

论文摘要

根据从复杂的模拟器收集的输入输出时间域数据,本文提出了一种建设性的方法,以推断降低的线性,双线性或二次时间不变的动力模型,再现基础现象。该方法基本上基于线性动力学系统和近似理论。更具体地说,它依次涉及插值铅笔和Loewner框架,该框架既非常通用且可扩展到大规模数据集,又可以扩展到涉及原始数据和减少内部变量的线性最小平方问题。关于侵入性方法,不需要关于操作员的先验知识。此外,与传统的非侵入式操作员推理相比,提出的方法减轻了测量原始全阶模型内部变量的需求。因此,它适用于比标准侵入性和非侵入性方法更广泛的应用范围。该基本原理已成功地应用于对涉及多规模和多物理动力学现象的机场区域上污染物分散案例的大型涡流模拟。尽管所产生的低复杂性模型的简单性,但提出的方法显示出令人满意的结果,可以预测污染物羽状模式,同时显着更快地模拟。

On the basis of input-output time-domain data collected from a complex simulator, this paper proposes a constructive methodology to infer a reduced-order linear, bilinear or quadratic time invariant dynamical model reproducing the underlying phenomena. The approach is essentially based on linear dynamical systems and approximation theory. More specifically, it sequentially involves the interpolatory Pencil and Loewner framework, known to be both very versatile and scalable to large-scale data sets, and a linear least square problem involving the raw data and reduced internal variables. With respect to intrusive methods, no prior knowledge on the operator is needed. In addition, compared to the traditional non-intrusive operator inference ones, the proposed approach alleviates the need of measuring the original full-order model internal variables. It is thus applicable to a wider application range than standard intrusive and non-intrusive methods. The rationale is successfully applied on a large eddy simulation of a pollutants dispersion case over an airport area involving multi-scale and multi-physics dynamical phenomena. Despite the simplicity of the resulting low complexity model, the proposed approach shows satisfactory results to predict the pollutants plume pattern while being significantly faster to simulate.

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