Consideration of Non-Locality for Gene Expression Programming: Modeling the Transition to Turbulence in the Boundary Layer

IF 2.4 3区 工程技术 Q3 MECHANICS
Alexander Bleh, Christian Morsbach
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引用次数: 0

Abstract

The consideration of the inherently non-local characteristics of turbulence is an open challenge and subject to many investigations. Recent approaches rely on the utilization of spatially configured Neural Networks such as e.g. Convolutional Neural Networks to account for non-local effects (Comput. Methods Appl. Mech. Eng. 384:113927, 2021). Nevertheless, approaches featuring Neural Networks are not easily available for Gene Expression Programming. An alternative option, to consider non-local effects, is the use of partial differential equations (PDE) like an additional convection-diffusion equation as is done for example in several transition models such as the \(\gamma\)- model by Menter et al. (Flow Turbul. Combust. 583–619, 2015). Consequently, instead of only modeling a local correction factor directly using GEP, we equip the input quantities with an additional optional convection-diffusion equation of which we model the production term, diffusion constants and boundary type. The methodology is applied on a set of low pressure turbine testcases in order to find transition models. Resulting expressions are further analysed in terms of underlying mechnims and logical foundations.

考虑非局域性的基因表达式规划:边界层向湍流过渡的建模
考虑湍流固有的非局部特性是一个公开的挑战,需要进行许多研究。最近的方法依赖于利用空间配置的神经网络,例如卷积神经网络来解释非局部效应。方法:应用。械甲怪。工程学报。384:113927,2021)。然而,以神经网络为特征的方法并不容易用于基因表达式编程。考虑非局部效应的另一种选择是使用偏微分方程(PDE),如额外的对流扩散方程,例如在几个过渡模型中,如Menter等人的\(\gamma\) -模型(Flow Turbul)。燃烧。583-619,2015)。因此,我们不是直接使用GEP对局部校正因子进行建模,而是为输入量配备了一个附加的可选对流扩散方程,我们对产生项、扩散常数和边界类型进行了建模。将该方法应用于一组低压汽轮机试验用例中,以寻找过渡模型。根据潜在的机制和逻辑基础进一步分析得到的表达式。
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来源期刊
Flow, Turbulence and Combustion
Flow, Turbulence and Combustion 工程技术-力学
CiteScore
5.70
自引率
8.30%
发文量
72
审稿时长
2 months
期刊介绍: Flow, Turbulence and Combustion provides a global forum for the publication of original and innovative research results that contribute to the solution of fundamental and applied problems encountered in single-phase, multi-phase and reacting flows, in both idealized and real systems. The scope of coverage encompasses topics in fluid dynamics, scalar transport, multi-physics interactions and flow control. From time to time the journal publishes Special or Theme Issues featuring invited articles. Contributions may report research that falls within the broad spectrum of analytical, computational and experimental methods. This includes research conducted in academia, industry and a variety of environmental and geophysical sectors. Turbulence, transition and associated phenomena are expected to play a significant role in the majority of studies reported, although non-turbulent flows, typical of those in micro-devices, would be regarded as falling within the scope covered. The emphasis is on originality, timeliness, quality and thematic fit, as exemplified by the title of the journal and the qualifications described above. Relevance to real-world problems and industrial applications are regarded as strengths.
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