Global Stability Analysis of a Compressible Turbulent Flow around a High-Lift Configuration

The purpose of this work is to analyze a complex high lift configuration for which significant regions of separated flow are present. Current state of the art methods have some diffculty to predict the origin and the progression of this separated flow when increasing the angle of attack. The mechanisms responsible for the maximum lift limit on multi-element wing con?gurations are not clear; this stability analysis could help to understand the physics behind the phenomenon and to find a relation between the flow separation and the instability onset. The methodology presented herein consists in the computation of a steady base flow solution based on a finite volume discretization and a proposal of the solution for a generalized eigenvalue problem corresponding to the perturbed and linearized problem. The eigenvalue problem has been solved with the Arnoldi iterative method, one of the Krylov subspace projection methods. The described methodology was applied to the NACA0012 test case in subsonic and in transonic conditions and, finally, for the first time to the authors knowledge, on an industrial multi-component geometry, such as the A310 airfoil, in order to identify low frequency instabilities related to the separation. One important conclusion is that for all the analyzed geometries, one unstable mode related to flow separation appears for an angle of attack greater than the one correspondent to the maximum lift coe?cient condition. Finally, an adjoint study was carried out in order to evaluate the receptivity and the structural sensitivity of the geometries, giving an indication of the domain region that could be modified resulting in the biggest change of the flowfield.

Global instability analysis and control of three-dimensional long open cavity flow

The three-dimensional wall-bounded open cavity may be considered as a simplified geometry found in industrial applications such as leading gear or slotted flats on the airplane. Understanding the three-dimensional complex flow structure that surrounds this particular geometry is therefore of major industrial interest. At the light of the remarkable former investigations in this kind of flows, enough evidences suggest that the lateral walls have a great influence on the flow features and hence on their instability modes. Nevertheless, even though there is a large body of literature on cavity flows, most of them are based on the assumption that the flow is two-dimensional and spanwise-periodic. The flow over realistic open cavity should be considered. This thesis presents an investigation of three-dimensional wall-bounded open cavity with geometric ratio 6:2:1. To this aim, three-dimensional Direct Numerical Simulation (DNS) and global linear instability have been performed. Linear instability analysis reveals that the onset of the first instability in this open cavity is around Recr 1080. The three-dimensional shear layer mode with a complex structure is shown to be the most unstable mode. I t is noteworthy that the flow pattern of this high-frequency shear layer mode is similar to the observed unstable oscillations in supercritical unstable case. DNS of the cavity flow carried out at different Reynolds number from steady state until a nonlinear saturated state is obtained. The comparison of time histories of kinetic energy presents a clearly dominant energetic mode which shifts between low-frequency and highfrequency oscillation. A complete flow patterns from subcritical cases to supercritical case has been put in evidence. The flow structure at the supercritical case Re=1100 resembles typical wake-shedding instability oscillations with a lateral motion existed in the subcritical cases. Also, This flow pattern is similar to the observations in experiments. In order to validate the linear instability analysis results, the topology of the composite flow fields reconstructed by linear superposition of a three-dimensional base flow and its leading three-dimensional global eigenmodes has been studied. The instantaneous wall streamlines of those composited flows display distinguish influence region of each eigenmode. Attention has been focused on the leading high-frequency shear layer mode; the composite flow fields have been fully recognized with respect to the downstream wave shedding. The three-dimensional shear layer mode is shown to give rise to a typical wake-shedding instability with a lateral motions occurring downstream which is in good agreement with the experiment results. Moreover, the spanwise-periodic, open cavity with the same length to depth ratio has been also studied. The most unstable linear mode is different from the real three-dimensional cavity flow, because of the existence of the side walls. Structure sensitivity of the unstable global mode is analyzed in the flow control context. The adjoint-based sensitivity analysis has been employed to localized the receptivity region, where the flow is more sensible to momentum forcing and mass injection. Because of the non-normality of the linearized Navier-Stokes equations, the direct and adjoint field has a large spatial separation. The strongest sensitivity region is locate in the upstream lip of the three-dimensional cavity. This numerical finding is in agreement with experimental observations. Finally, a prototype of passive flow control strategy is applied.

California pragmatista 1900-1960: proyecto doméstico como expresión y laboratorio del modo de vida

Esta tesis doctoral pretende desgranar una técnica de proyecto que la experiencia californiana ejemplifica y que puede ser descrita en términos pragmatistas. La arquitectura doméstica californiana fue la expresión tangible de una forma de ser y estar californiana pero también universal. El destinatario de esta arquitectura experimental y pragmática fue el individuo, tanto el gran mecenas como el liberal individualista de recursos moderados y aspiraciones infinitas; la gente corriente y, más tarde, la típica familia de clase media, fueron sin embargo el destinatario soñado en muchos ensayos de casa particular, frecuentemente en la casa del propio arquitecto. Arquitectos y clientes compartían el deseo común de un espacio doméstico involucrado en propiciar una vida sana, informal y hedonista, y en comunión con el aire, la naturaleza y el territorio, que satisficiera el espíritu independiente y emprendedor propio de una identidad libre y progresista. Participaron en ese sentido de la esperanza pragmatista de un futuro mejor, mediante la formulación de un modo de vida propio, moldeado por las distintas fuerzas motoras que definían el contexto. La principal de ellas fue la sensación de oportunidad: California se ofrecía como una tabula rasa con un clima paradisíaco; el paraíso soñado para generaciones sucesivas de recién llegados, que en la distancia con tradiciones preestablecidas en sus lugares de origen, encontraron el mayor estímulo para una actitud experimental que tomó el modo de vida como un material de proyecto para la formulación del espacio doméstico. Así, el proyecto doméstico californiano, fue un laboratorio cuyo trabajo mezclaba casos específicos con mitos e ilusiones, muchas veces cuestionadas; pero su interés reside en que puede ser, además de un referente estético y un icono visual, un ejemplo de una forma de proyectar que aborda el proyecto doméstico con talante indagador desde la receptividad al contexto físico, social y cultural; con capacidad para soñar y experimentar llevando los ideales a la práctica de los casos concretos; desde la atención al usuario, aunque sea anónimo; y usando un léxico llano, que devuelve toda la eficacia al vocabulario cotidiano. La experiencia californiana es por tanto, en este trabajo, sólo un ejemplo; un ejemplo paradigmático de una técnica de proyecto que puede ser de interés en otras circunstancias y contextos, y que concibe el espacio doméstico como la expresión, y también el laboratorio, del modo de vida. ABSTRACT This doctoral thesis aims to display a design’s technic that is exemplified by the Californian experience and can be described in pragmatic terms. The Californian domestic architecture was the tangible expression of a life style and way of being that was Californian but also universal. Home’s designed for the everyday experience attended the individual, both the rich sponsors of their own domestic design and the low income liberal individualists in search of an affordable but optimum home. But the dreamed target was ordinary people and the typical middle class family, as they represented the dream of a truly democratic society. Many domestic experiments for them took the form of particular cases, often in the house of the architect, which acted as a laboratory in search of general solutions. Architects and clients shared the common desire of a new domestic space, involved in promoting a healthy, casual and hedonistic lifestyle and in communion with the air, nature and territory, which satisfied the own independent and entrepreneurial spirit of a free and progressive identity. The way of life was therefore a design material, sensitive to the forces that shaped the region and its society through its domestic space. The main one was the feeling of opportunity: California offered itself as a tabula rasa with an exotic climate; the dreamed paradise for successive generations of newcomers who, in the distance with the pre-established traditions of their homelands, found the greatest incentive for an experimental attitude in which lifestyle was seen as project material to formulate the domestic space. Thus, the Californian domestic project can be more than an aesthetic reference and a visual icon; it is also an example of a design’s technic that approaches the domestic project with an inquisitive spirit sustained by these abilities: receptivity to the physical, social and cultural context; capacity to dream and to experiment, carrying ideals into practice; attention to the user, even when it’s anonymous; and use of a common lexicon that returns all the power to the everyday vocabulary. The Californian experience is therefore, in this dissertation, just an example; a paradigmatic example of a project technique that conceives domestic space as an expression, and also as a laboratory, of the way of life.