Data driven techniques for modal decomposition and reduced-order modelling of fluids

In this thesis, a number of data-driven techniques are proposed for the analysis and extraction of reduced-order models of fluid flows. Throughout the thesis, there has been an emphasis on the practicality and interpretability of data-driven feature-extraction techniques to aid practitioners in flow-control and estimation. The first contribution uses a graph theoretic approach to analyse the similarity of modes extracted using data-driven modal decomposition algorithms to give a more intuitive understanding of the degrees of freedom in the underlying system. The method extracts clusters of spatially and spectrally similar modes by post-processing the modes extracted using DMD and its variants. The second contribution proposes a method for extracting coherent structures, using snapshots of high dimensional measurements, that can be mapped to a low dimensional output of the system. The importance of finding such coherent structures is that in the context of active flow control and estimation, the practitioner often has to rely on a limited number of measurable outputs to estimate the state of the flow. Therefore, ensuring that the extracted flow features can be mapped to the measured outputs of the system can be beneficial for estimating the state of the flow. The third contribution concentrates on using neural networks for exploiting the nonlinear relationships amongst linearly extracted modal time series to find a reduced order state, which can then be used for modelling the dynamics of the flow. The method utilises recurrent neural networks to find an encoding of a high dimensional set of modal time series, and fully connected neural networks to find a mapping between the encoded state and the physically interpretable modal coefficients. As a result of this architecture, the significantly reduced-order representation maintains an automatically extracted relationship to a higher-dimensional, interpretable state.Open Acces

Nonequilibrium thermodynamics of circulation regimes in optically-thin, dry atmospheres

An extensive analysis of an optically-thin, dry atmosphere at different values of the thermal Rossby number Ro and of the Taylor number Ff is per- formed with a general circulation model by varying the rotation rate {\Omega} and the surface drag {\tau} in a wide parametric range. By using nonequilibrium thermodynamics diagnostics such as material entropy production, efficiency, meridional heat transport and kinetic energy dissipation we characterize in a new way the different circulation regimes. Baroclinic circulations feature high mechanical dissipation, meridional heat transport, material entropy pro- duction and are fairly efficient in converting heat into mechanical work. The thermal dissipation associated with the sensible heat flux is found to depend mainly on the surface properties, almost independent from the rotation rate and very low for quasi-barotropic circulations and regimes approaching equa- torial super-rotation. Slowly rotating, axisymmetric circulations have the highest meridional heat transport. At high rotation rates and intermediate- high drag, atmospheric circulations are zonostrohic with very low mechanical dissipation, meridional heat transport and efficiency. When {\tau} is interpreted as a tunable parameter associated with the turbulent boundary layer trans- fer of momentum and sensible heat, our results confirm the possibility of using the Maximum Entropy Production Principle as a tuning guideline in the range of values of {\Omega}. This study suggests the effectiveness of using fun- damental nonequilibrium thermodynamics for investigating the properties of planetary atmospheres and extends our knowledge of the thermodynamics of the atmospheric circulation regimes

Nondestructive evaluation and in-situ monitoring for metal additive manufacturing

Powder-based additive manufacturing (AM) technologies are seeing increased use, particularly because they give greatly enhanced design flexibility and can be used to form components that cannot be formed using subtractive manufacturing. There are fundamental differences in the morphology of additively manufactured materials, when compared with, for example castings or forgings. In all cases it is necessary to ensure that parts meet required quality standards and that “allowable” anomalies can be detected and characterized. It is necessary to understanding the various types of manufacturing defects and their potential effects on the quality and performance of AM, and this is a topic of much study. In addition, it is necessary to investigate quality from powder throughout the manufacturing process from powder to the finished part. In doing so it is essential to have metrology tools for mechanical property evaluation and for appropriate anomaly detection, quality control, and monitoring. Knowledge of how and when the various types of defects appear will increase the potential for early detection of significant flaws in additively manufactured parts and offers the potential opportunity for in-process intervention and to hence decrease the time and cost of repair or rework. Because the AM process involves incremental deposition of material, it gives unique opportunities to investigate the material quality as it is deposited. Due to the AM processes sensitivity to different factors such as laser power and material properties, any changes in aspects of the process can potentially have an impact on the part quality. As a result, in-process monitoring of additive manufacturing (AM) is crucial to assure the quality, integrity, and safety of AM parts. To meet this need there are a variety of sensing methods and signals which can be measured. Among the available measurement modalities, acoustic-based methods have the advantage of potentially providing real-time, continuous in-service monitoring of manufacturing processes at relatively low cost. In this research, the various types of microstructural features or defects, their generation mechanisms, their effect on bulk properties and the capabilities of existing characterization methodologies for powder-based AM parts are discussed and methods for in-situ non-destructive evaluation are reviewed. A proof-of-concept demonstration for acoustic measurements used for monitoring both machine and material state is demonstrated. The analyses have been performed on temporal and spectral features extracted from the acoustic signals. These features are commonly related to defect formation, and acoustic noise that is generated and can potentially characterize the process. A novel application of signal processing tools is used for identification of temporal and spectral features in the acoustic signals. A new approach for a K-means statistical classification algorithm is used for classification of different process conditions, and quantitative evaluation of the classification performance in terms of cohesion and isolation of the clusters. The identified acoustic signatures demonstrate potential for in-situ monitoring and quality control of the additive manufacturing process and parts. A numerical model of the temperature field and the ultrasonic wave displacement field induced by an incident pulsed laser on additively manufactured stainless steel 17 4 PH is established which is based on thermoelastic theory. The numerical results indicate that the thermoelastic source and the ultrasonic wave features are strongly affected by the characteristics of the laser source and the thermal and mechanical properties of the material. The magnitude and temporal-spatial distributions of the pulsed laser source energy are very important factors which determine not only the wave generation mechanisms, but also the amplitude and characteristics of the resulting elastic wave signals

Utilization of Decomposition Techniques for Analyzing and Characterizing Flows

This thesis presents the utilization of two different decomposition techniques, proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD), for enhanced understanding of flow structures and their stability. The advantages of these techniques are shown for a range of flow situations, most of which are turbulent. It is shown that by these methods additional insight into complex flow situations can be gained. Such insight has been found to be needed for the flow in straight and 90 degree curved pipes. The so-called swirl switching phenomenon is investigated, which is a large scale oscillation of the flow after the bend. This phenomenon is classified into a low frequency and a high frequency switching, each with its own mechanism of formation. It is shown that while the low frequency switching stems from very-large-scale motions created in the upstream pipe, the high frequency switching results from the bend itself, making it an inherent property of the system. The second set of studies consider swirling flow in combustor-related geometries, using both high and low swirl levels. These investigations show highly energetic unsteady structures in the strongly vortical regions. The spatial symmetry of these flow modes reflect the level of confinement. While the vortices that are weakly confined show unsteady modes reflecting their displacement, the strongly confined vortices show low-order multipole deformations. For the low swirl burner, which is the only reacting flow considered, the flame is stabilized without the presence of vortex breakdown. To be able to investigate how the flame is anchored above the burner, an extended version of DMD (EDMD) is introduced, which helps to couple the flow with the flame. Using this method, a mechanism contributing to the flame stabilization is isolated. The third and final set of studies involve flow around cylinders and beams. These objects are flexible and respond to the forces that the flow exerts on them. For the flow around cylinders, which are connected to a spring system, the natural frequency of the spring-cylinder system and the frequency from the von Karman vortex shedding are the two a priori known frequencies of the system. Three different flow regimes are considered, one where the two frequencies are similar, giving resonance, and two cases where one frequency is far above/below the other. For flow around a single cylinder, an unexpected high energy low frequency mode is found off-resonance, which is argued to contribute greatly to the chaotic behaviour for the case with the loose spring. For a multiple cylinder array, while the strong low frequency mode found for the single cylinder case has been suppressed, an unexpected synchronization is seen. Considering the flow around a stiff and a flexible beam, a strong beat frequency is found for the lift force. While the beating is seen to be regular for the flexible beam, it appears intermittently for the stiff beam. The flow behaviour giving rise to this forcing is elucidated using the POD and DMD analyses