论文标题
针对反问题的数据驱动优化方法:应用于湍流混合转向流
Data-Driven Optimization Approach for Inverse Problems : Application to Turbulent Mixed-Convection Flows
论文作者
论文摘要
最佳控制湍流混合偶像流动引起了研究人员的极大关注。数值算法(例如遗传算法)是允许执行全局优化的强大工具。这些算法对复杂优化问题特别感兴趣,因为成本功能可能缺乏平稳性和规律性。在湍流优化中,在计算时间和存储器存储方面,GA与高保真计算流体动力学(CFD)的杂交非常苛刻。因此,旨在减轻这些要求的替代方法引起了极大的兴趣。如今,数据驱动的方法由于仅基于先前存在的数据来预测流量解决方案的潜力而引起了人们的注意。在本文中,我们提出了一种近乎数据的数据驱动的遗传算法(DDGA),以用于涉及湍流的逆参数鉴定问题。在此优化框架中,参数流数据以POD获得的还原形式使用(正确的正交分解),并通过通过最近开发的Riemannian Barycentric插入插入时间插值和空间POD子空间来进行溶液预测。提出的优化方法的验证是在腔中湍流混合传染流的参数识别问题中进行的。目的是确定与空间结构域限制区域中给定温度分布相对应的流入温度和流入速度。结果表明,所提出的基因编程优化框架能够在不到两分钟的时间内提供最佳解决方案的良好近似值。
Optimal control of turbulent mixed-convection flows has attracted considerable attention from researchers. Numerical algorithms such as Genetic Algorithms (GAs) are powerful tools that allow to perform global optimization. These algorithms are particularly of great interest in complex optimization problems where cost functionals may lack smoothness and regularity. In turbulent flow optimization, the hybridization of GA with high fidelity Computational Fluid Dynamics (CFD) is extremely demanding in terms of computational time and memory storage. Thus, alternative approaches aiming to alleviate these requirements are of great interest. Nowadays, data driven approaches gained attention due to their potential in predicting flow solutions based only on preexisting data. In the present paper, we propose a near-real time data-driven genetic algorithm (DDGA) for inverse parameter identification problems involving turbulent flows. In this optimization framework, the parametrized flow data are used in their reduced form obtained by the POD (Proper Orthogonal Decomposition) and solutions prediction is made by interpolating the temporal and the spatial POD subspaces through a recently developed Riemannian barycentric interpolation. The validation of the proposed optimization approach is carried out in the parameter identification problem of the turbulent mixed-convection flow in a cavity. The objective is to determine the inflow temperature and inflow velocity corresponding to a given temperature distribution in a restricted area of the spatial domain. The results show that the proposed genetic programming optimization framework is able to deliver good approximations of the optimal solutions within less than two minutes.