Direct and adjoint global stability analysis of turbulent transonic flows over a NACA0012 profile

In this work, various turbulent solutions of the two-dimensional (2D) and three-dimensional compressible Reynolds averaged Navier?Stokes equations are analyzed using global stability theory. This analysis is motivated by the onset of flow unsteadiness (Hopf bifurcation) for transonic buffet conditions where moderately high Reynolds numbers and compressible effects must be considered. The buffet phenomenon involves a complex interaction between the separated flow and a shock wave. The efficient numerical methodology presented in this paper predicts the critical parameters, namely, the angle of attack and Mach and Reynolds numbers beyond which the onset of flow unsteadiness appears. The geometry, a NACA0012 profile, and flow parameters selected reproduce situations of practical interest for aeronautical applications. The numerical computation is performed in three steps. First, a steady baseflow solution is obtained; second, the Jacobian matrix for the RANS equations based on a finite volume discretization is computed; and finally, the generalized eigenvalue problem is derived when the baseflow is linearly perturbed. The methodology is validated predicting the 2D Hopf bifurcation for a circular cylinder under laminar flow condition. This benchmark shows good agreement with the previous published computations and experimental data. In the transonic buffet case, the baseflow is computed using the Spalart?Allmaras turbulence model and represents a mean flow where the high frequency content and length scales of the order of the shear-layer thickness have been averaged. The lower frequency content is assumed to be decoupled from the high frequencies, thus allowing a stability analysis to be performed on the low frequency range. In addition, results of the corresponding adjoint problem and the sensitivity map are provided for the first time for the buffet problem. Finally, an extruded three-dimensional geometry of the NACA0012 airfoil, where all velocity components are considered, was also analyzed as a Triglobal stability case, and the outcoming results were compared to the previous 2D limited model, confirming that the buffet onset is well detected.

Estudio matemático del comportamiento de un fluido incompresible en flujo laminar

El objetivo de este trabajo es realizar un estudio del comportamiento de un fluido en flujo laminar. En primer lugar se realizará una breve introducción Histórica, con el fin de situar al lector en la época donde suceden los acontecimientos más importantes relativos a la mecánica de fluidos. Se presentarán a las figuras más importantes de la mecánica de fluidos moderna, como Sir Gabriel Stokes o Osborne Reynolds, así como los acontecimientos más importantes. A continuación se expondran las ecuaciones que rigen el comportamiento de un fluido, las ecuaciones de Navier-Stokes y la ecuación de Reynolds, con el objetivo de ayudar al lector a entender los análisis posteriores que se realizarán sobre dichas ecuaciones. En tercer lugar se analizará la ecuación de Reynolds, la existencia y unicidad de soluciones, para seguidamente, realizar una simulación del problema. Dicha simulación se ha realizado en un script, bajo la herramienta Matlab, se explicará como se ha realizado la simulación y se expondrán ejemplos de los casos de un fluido compresible y uno incompresible para diversas ecuaciones. Seguidamente se describe el fenómeno de la capa límite y se explica con un ejemplo en un fluido compresible. Para finalizar se exponen las conclusiones obtenidas en la realización de este trabajo.

Propiedades ópticas y estructurales de nanoestructuras de Zn(Cd)(Mg)O

En la presente tesis doctoral se ha realizado un estudio utilizando diferentes técnicas de crecimiento (RPE-MOCVD y spray pyrolysis) y estructuras (nanohilos, pozos y puntos cuánticos y capas) con el objetivo de desarrollar dispositivos que cubran desde el rango visible hasta el ultravioleta. Es por esta razón por la que se han elegido materiales basados en ZnO, debido a la posibilidades que estos ofrecen para variar su bandgap en un amplio rango de energías. Prueba de ello es que en este estudio se ha conseguido cubrir un rango espectral desde 1.86 hasta 4.11 eV, estudiandose además fenómenos físicos como son la difusión e incorporaci ón de la aleación o la adsorción de gases en la super_cie, lo que ha permitido la fabricación de diferentes fotodetectores de gran sensibilidad. Por todo ello, los resultados obtenidos en esta tesis suponen una gran contribución al conocimiento de las propiedades físicas de las aleaciones de Zn(Cd)O y Zn(Mg)O para potenciales aplicaciónes en dispositivos que operen en el rango visible y ultravioleta del espectro, respectivamente. En esta memoria se da en primer lugar una visión de las propiedades de materiales basados en ZnO, entrando en detalle en una de las ventajas que este presenta, la facilidad que tiene este material para formar nanoestructuras. En el capítulo 3 se dan los conceptos teóricos necesarios para comprender las propiedades ópticas de este tipo de materiales, mostrando también los resultados más reseñables obtenidos en ZnO. En los capítulos referentes a los resultados se pueden diferenciar dos grandes bloques. En el primer bloque de resultados se han analizado nanohilos y pozos cuánticos de Zn(Cd)O crecidos por la técnica de RPE-MOCVD (Capítulos 4 y 5). En el segundo se expondrá el estudio realizado sobre capas y puntos cuánticos de Zn(Mg)O crecidos por la técnica spray pyrolysis como se describe en mayor detalle a continuación. Nanohilos y pozos cuánticos de Zn(Cd)O crecidos por RPE-MOCVD Teóricamente aleando el ZnO con CdO es posible disminuir el valor del band- gap desde 3.37 eV hasta 0.95 eV, cubriendo por completo el espectro visible. El desarrollo del ternario Zn(Cd)O permitiría la fabricación de heteroestructuras y pozos cuánticos, muy importantes en el desarrollo de dispositivos optoelectrónicos que cubran la parte visible del espectro. Sin embargo, la diferencia de estructura cristalina entre estos dos materiales junto a la baja solubilidad del Cd y su alta presión de vapor, di_culta la obtención de material de alta calidad cristalina con alto contenido en Cd. En esta tesis doctoral se ha realizado una completa caracterización óptica y estructural de nanohilos de Zn(Cd)O credidos por la técnica de RPE-MOCVD. Estos nanohilos tinene unas longitudes comprendidas entre 1 y 3 _m y diámetros entre 100 y 200 nm. La concentración máxima introducida de Cd en estas estructuras ha sido de hasta un 54% manteniendo la estructura wurtzita del ZnO, siendo este el mayor contenido de Cd introducido hasta la fecha en nanostructuras basada en ZnO. Este hecho se traduce en una variación de la energía de emisión entre 3.31 y 1.86 eV con el aumento en Cd. El uso de diferentes técnicas de alta resoluci ón de caracterización estructural ha permitido demostrar la presencia de una sola fase estructural wurtzita sin observarse ningún indicio de separación de fases ni acumulación de Cd a lo largo del nanohilo para todos los contenidos de Cd. Con el propósito de fabricar dispositivos en nanohilos individuales, parte de esta tesis doctoral ha estado dedicada a estudiar el impacto que el recocido térmico tiene en las propiedades ópticas y eléctricas de nanohilos de Zn(Cd)O. El recocido térmico es un proceso clave en la optimización de dispositivos, ya sea para la obtenci ón de contactos óhmicos, reducción de defectos o difusión de dopantes por ejemplo. En este estudio se ha observado una mejora muy signi_cativa de las propiedades de emisión de los nanohilos cuando estos eran recocidos a temperaturas mayores que la de crecimiento (300 oC). En las muestras con Cd se ha observado además que el recocido también produce un desplazamiento de la emisión hacia mayores energías debido a una reducción homogénea del contenido de Cd. Medidas de fotoluminiscencia con resolución temporal muestran el impacto que tiene la localización del excitón en las _uctuaciones de potencial, debidas a una distribución estadística del Cd, en la dinámica de los portadores. Comparando el tiempo de vida de los portadores entre los nanohilos recocidos y sin recocer se ha observado un aumento de este parámetro en las estructuras recocidas. Este aumento es fundamentalmente debido a una reducción de centros de recombinación no radiativa asociados a defectos presentes a lo largo del nanohilo. Además, se ha estudiado la evolución de los tiempos de vida de los portadores en función de la temperatura, registrándose una menor estabilidad con la temperatura de los tiempos de vida en las muestras recocidas. Este resultado sugiere que el recocido térmico consigue reducir parte del desorden de la aleación en la estructura. Tras haber caracterizados los nanohilos se desarrollaron una serie de procesa dos para la fabricación de dispositivos basados en nanohilos individuales. Se fabricaron en concreto fotodetectores sensibles al UV, en los que se observó también la alta sensibilidad que muestran a la adsorción de gases en la super_cie, incrementada por la gran relación super_cie/volúmen característica de las nanoestructuras. Estos procesos de adsorción observados tienen un impacto directo sobre las propiedades ópticas y electricas de los dispositivos como se ha demostrado. Por ello que en esta tesis se hayan estudiado en detalle este tipo de procesos, ideando maneras para tener un mayor control sobre ellos. Finalmente se crecieron estructuras de pozos cuántico de ZnCdO/ZnO en nanohilos con contenidos de Cd nominales de 54 %. Las medidas ópticas realizadas mostraron como al aumentar la anchura del pozo de 0.7 a 10 nm, la emisión relacionada con el pozo se desplazaba entre 3.30 y 1.97 eV. Este gran desplazamiento representa el mayor obtenido hasta la fecha en pozos cuánticos de ZnCdO/ZnO. Sin embargo, al caracterizar estructuralmente estas muestras se observó la presencia de procesos de difusión de Cd entre el pozo y la barrera. Como se ha podido medir, este tipo de procesos reducen sustancialmente la concentración de Cd en el pozo al difundirse parte a la barrera. cambiando completamente la estructura de bandas nominal de estas estructuras. Este estudio demuestra la importancia del impacto de los procesos de difusión en la interpretación de los efectos de con_namiento cuántico para este tipo de estructuras. Capas y puntos cuánticos de Zn(Mg)O crecidos por spray pyrolysis La técnica de spray pyrolysis, debido a su simplicidad, bajo coste y capacidad de crecer sobre grandes áreas conservando una alta calidad cristalina presenta un gran interés en la comunidad cientí_ca para el potencial desarrollo de dispositivos comerciales. En esta tesis se ha estudiado las propiedades ópticas y eléctricas de capas y puntos cuánticos de Zn(Mg)O crecidos por esta técnica. Al contrario que pasa con el Cd, al introducir Mg en la estructura wurtzita de ZnO se consigue aumentar el bandgap del semiconductor. Sin embargo, al igual que pasa con el CdO, la diferencia de estructura cristalina entre el ZnO y el MgO limita la cantidad de Mg que se puede incorporar, haciendo que para una cierta concentración de Mg aparezcan el fenómeno de separación de fases. En esta tesis se ha conseguido incorporar hasta un contenido de Mg del 35% en la estructura wurtzita del ZnO utilizando la técnica de spray pyrolysis, resultado que representa la mayor concentración de Mg publicada hasta la fecha. Este hecho ha posibilitado variar la energía del borde de absorción desde 3.30 a 4.11 eV. En estas capas se ha realizado una completa caracterización óptica observándose una diferencia entre las energías del borde de absorción y del máximo de emisión creciente con el contenido en Mg. Esta diferencia, conocida como desplazamiento de Stokes, es debida en parte a la presencia de _uctuaciones de potencial producidas por un desorden estadístico de la aleación. Se han fabricado fotodetectores MSM de alta calidad utilizando las capas de Zn(Mg)O previamente caracterizadas, observándose un desplazamiento del borde de absorción con el aumento en Mg desde 3.32 a 4.02 eV. Estos dispositivos muestran altos valores de responsividad (10-103 A/W) y altos contrastes entre la responsividad bajo iluminación y oscuridad (10-107). Estos resultados son en parte debidos a la presencia de mecanismos de ganancia y una reducción de la corriente de oscuridad en las muestras con alto contenido de Mg. Utilizando esta misma técnica de crecimiento se han crecido puntos de Zn(Mg)O con concentraciones nominales de Mg entre 0 y 100 %, con dimensiones medias entre 4 y 6 nm. Las medidas estructurales realizadas muestran que hasta un valor de Mg de 45 %, los puntos están compuestos por una única fase estructural, wurtzita. A partir de esa concentración de Mg aparece una fase cúbica en los puntos, coexistiendo con la fase hexagonal hasta una concentración nominales del 85 %. Para concentraciones mayores de Mg, los puntos muestran una única fase estructural cúbica. Medidas de absorción realizadas en estos puntos de Zn(Mg)O muestran un desplazamiento del borde de absorción entre 3.33 y 3.55 eV cuando la concentraci ón de Mg en los puntos aumenta hasta el 40 %. Este desplazamiento observado es debido solamente a la fase wurtzita del Zn(Mg)O donde se incorpora el Mg. ABSTRACT This PhD theis presents a study using di_erent growth techniques (RPEMOCVD and spray pyrolysis) and structures (nanowires, quantum dots and wells and layers) in order to develop devices that extend from the visible to the ultraviolet range. For this reason ZnO based materials have been choosen, because they o_er the possibility to tunne the bandgap in this energy range. Proof of this is that this study has managed to cover a spectral range from 1.86 to 4.11 eV, also being studied physical phenomena such as di_usion and incorporation of alloy or adsorption of gases on the surface, allowing the develop di_erent highly sensitive photodetectors. Therefore, the results obtained in this thesis are a great contribution two large blockso the knowledge of the physical properties of alloys Zn(Cd)O and Zn(Mg)O for potential applications in devices that operate in the visible and ultraviolet range, respectively. In the _rst chapter, the general properties of ZnO-based materials are presented, showing the facilities that these kind of materials o_er to obtain di_erent nanoestructures. In Chapter 3, optical theoretical concepts are given to understand the optical properties of these materials, also showing the most signi_cant results of ZnO. In the chapters related with the results, two blocks could be distinguish. In the _rst one, Zn(Cd)O nanowires and quantum wells grown by RPE-MOCVD have been analyzed (Chapters 4 and 5). The second block of results shows the study performed in Zn(Mg)O _lms and quantum dots grown by spray pyrolysis. Zn(Cd)O nanowires and quantum wells grown by RPE-MOCVD In summary, the results of the PhD thesis are a great contribution to the knowledge of the physical properties of Zn(Cd)O and Zn(Mg)O alloys and their application for high performance devices operating in the visible and UV ranges, respectively. The performance of the device is still limited due to alloy solubility and p-doping stability, which opens a door for future research in this _eld. Theoretically, annealing ZnO with CdO allows to reduce the bandgap from 3.37 to 0.95 eV, covering the whole visible spectrum. The development of ZnCdO alloys allows the fabrication of heterostructures and quantum wells, necessary for the development of high performance optoelectronic devices. However, the di_erent crystal structures between CdO and ZnO and the low solubility of Cd and its high vapor pressure, hinders the growth of ZnCdO alloys with high Cd contents. In this PhD thesis Zn(Cd)O nanowires have been optically and structurally characterized, obtaining a maximum Cd content of 54% while maintaining their wurtzite structure. This Cd content, which allows lowering the bandgap down to 1.86 eV, is the highest concentration ever reported in nanostructures based on ZnO. The combination of optical and structural characterization techniques used during this thesis has allowed the demonstration of the presence of a single wurtzite structure, without observing any indication of phase separation or Cd accumulation along the nanowire. Annealing processes are essential in the fabrication of optoelectronic devices. For this reason, a complete study of the annealing e_ects in the optical and electrical properties of Zn(Cd)O nanowires has been performed. In the _rst place, annealing nanowires at higher temperatures than their growth temperature (300 oC) allows a signi_cant improvement of their emission properties. However, in the samples that contain Cd a shift in the emission towards higher energies has been observed due to a homogeneous reduction of the Cd content in the nanowires. Time resolved photoluminescence measurements show the impact of the exciton localization in the potential _uctuations due to a statistical alloy disorder. An increase in the carrier lifetime has been obtained for the annealed nanowires. This increase is mainly due to the reduction of non-radiative recombination centers associated with the defects present in the material. Furthermore, temperature dependent time resolved photoluminescence measurements suggest a reduction of the alloy disorder in the annealed samples. In this thesis, single nanowire photodetectors with a high responsivity in the UV range have been demonstrated. Due to the high surface/volume ratio, these structures are very sensitive to gas adsorption at the surface, which largely de_nes the optical and electrical properties of the material and, therefore, of the device. With the aim of obtaining time stable devices, the dynamic adsorption-desorption processes have been studied, developing di_erent approaches that allow a higher control over them. Finally, ZnCdO/ZnO quantum wells have been grown with a nominal Cd concentration of 54% inside the well. The performed optical measurements show that increasing the well width from 0.7 to 10 nm, shifts the emission related with the well from 3.30 to 1.97 eV. This result represents the highest shift reported in the literature. However, a detailed structural characterization shows the presence of di_usion phenomena which substantially reduce the concentration of Cd in the well, while increasing it in the barrier. This type of phenomena should be considered when ac curately interpretating the quantum con_nement e_ects in Zn(Cd)O/ZnO quantum wells. Theoretically, annealing ZnO with CdO allows to decrease the bandgap from 3.37 to 0.95 eV, covering the whole visible spectrum. Zn(Mg)O _lms and quantum dots grown by spray pyrolysis Due to its simplicity, low-cost and capacity to grow over large areas conserving a high crystal quality, spray pyrolysis technique presents a great interest in the scienti_c community for developing comercial devices. In this thesis, a complete study of the optical and structural properties of Zn(Mg)O _lms and quantum dots grown by spray pyrolysis has been performed. Contrary to Zn(Cd)O alloys, when introducing Mg in the ZnO wurtzite structure an increase in the bandgap in obtained. Once again, the di_erence in the crystal structure of ZnO and MgO limits the amount of Mg that can be introduced before phase separation appears. In this PhD thesis, a maximum Mg content of 35% has been incorporated in the wurtzite structure using spray pyrolysis. This variation in the Mg content translates into an increase of the absorption edge from 3.30 to 4.11 eV. Up to this date, this result represents the highest Mg content introduced by spray pyrolysis in a ZnO wurzite structure reported in the literature. The comparison of the emission and absorption spectra shows the presence of an increasing Stokes shift with Mg content. This phenomenon is partialy related with the presence of potential _uctuations due to an statistic alloy disorder. MSM photodetectors have been processed on previously characterized Zn(Mg)O _lms. These devices have shown a shift in the absorption edge from 3.32 to 4.02 eV with the increase in Mg content, high responsivity values (10-103 A/W) and high contrast ratios between illuminated and dark responsivities (10-107). These values are explained by the presence of a gain mechanism and a reduction of dark current in the ZnMgO samples. Zn(Mg)O quantum dots have also been grown using spray pyrolysis with Mg concentrations between 0 and 100% and with average widths ranging 4 to 6 nm. Structural measurements show that at a Mg concentration of 45% the cubic phase appears, coexisting with the hexagonal phase up to an 85% concentration of Mg content. From 85% onwards the quantum dots show only the cubic phase. Absorption measurements performed in these structures reveal a shift in the absorption edge from 3.33 to 3.55 eV when the Mg content increases up to 40 %.

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.

Adaptation strategies for high order discontinuous Galerkin methods based on Tau-estimation

In this paper three p-adaptation strategies based on the minimization of the truncation error are presented for high order discontinuous Galerkin methods. The truncation error is approximated by means of a ? -estimation procedure and enables the identification of mesh regions that require adaptation. Three adaptation strategies are developed and termed a posteriori, quasi-a priori and quasi-a priori corrected. All strategies require fine solutions, which are obtained by enriching the polynomial order, but while the former needs time converged solutions, the last two rely on non-converged solutions, which lead to faster computations. In addition, the high order method permits the spatial decoupling for the estimated errors and enables anisotropic p-adaptation. These strategies are verified and compared in terms of accuracy and computational cost for the Euler and the compressible Navier?Stokes equations. It is shown that the two quasi- a priori methods achieve a significant reduction in computational cost when compared to a uniform polynomial enrichment. Namely, for a viscous boundary layer flow, we obtain a speedup of 6.6 and 7.6 for the quasi-a priori and quasi-a priori corrected approaches, respectively.

Adaptation Strategies for Discontinuous Galerkin Spectral Element Methods by means of Truncation Error Estimations

In this work a p-adaptation (modification of the polynomial order) strategy based on the minimization of the truncation error is developed for high order discontinuous Galerkin methods. The truncation error is approximated by means of a truncation error estimation procedure and enables the identification of mesh regions that require adaptation. Three truncation error estimation approaches are developed and termed a posteriori, quasi-a priori and quasi-a priori corrected. Fine solutions, which are obtained by enriching the polynomial order, are required to solve the numerical problem with adequate accuracy. For the three truncation error estimation methods the former needs time converged solutions, while the last two rely on non-converged solutions, which lead to faster computations. Based on these truncation error estimation methods, algorithms for mesh adaptation were designed and tested. Firstly, an isotropic adaptation approach is presented, which leads to equally distributed polynomial orders in different coordinate directions. This first implementation is improved by incorporating a method to extrapolate the truncation error. This results in a significant reduction of computational cost. Secondly, the employed high order method permits the spatial decoupling of the estimated errors and enables anisotropic p-adaptation. The incorporation of anisotropic features leads to meshes with different polynomial orders in the different coordinate directions such that flow-features related to the geometry are resolved in a better manner. These adaptations result in a significant reduction of degrees of freedom and computational cost, while the amount of improvement depends on the test-case. Finally, this anisotropic approach is extended by using error extrapolation which leads to an even higher reduction in computational cost. These strategies are verified and compared in terms of accuracy and computational cost for the Euler and the compressible Navier-Stokes equations. The main result is that the two quasi-a priori methods achieve a significant reduction in computational cost when compared to a uniform polynomial enrichment. Namely, for a viscous boundary layer flow, we obtain a speedup of a factor of 6.6 and 7.6 for the quasi-a priori and quasi-a priori corrected approaches, respectively. RESUMEN En este trabajo se ha desarrollado una estrategia de adaptación-p (modificación del orden polinómico) para métodos Galerkin discontinuo de alto orden basada en la minimización del error de truncación. El error de truncación se estima utilizando el método tau-estimation. El estimador permite la identificación de zonas de la malla que requieren adaptación. Se distinguen tres técnicas de estimación: a posteriori, quasi a priori y quasi a priori con correción. Todas las estrategias requieren una solución obtenida en una malla fina, la cual es obtenida aumentando de manera uniforme el orden polinómico. Sin embargo, mientras que el primero requiere que esta solución esté convergida temporalmente, el resto utiliza soluciones no convergidas, lo que se traduce en un menor coste computacional. En este trabajo se han diseñado y probado algoritmos de adaptación de malla basados en métodos tau-estimation. En primer lugar, se presenta un algoritmo de adaptacin isótropo, que conduce a discretizaciones con el mismo orden polinómico en todas las direcciones espaciales. Esta primera implementación se mejora incluyendo un método para extrapolar el error de truncación. Esto resulta en una reducción significativa del coste computacional. En segundo lugar, el método de alto orden permite el desacoplamiento espacial de los errores estimados, permitiendo la adaptación anisotropica. Las mallas obtenidas mediante esta técnica tienen distintos órdenes polinómicos en cada una de las direcciones espaciales. La malla final tiene una distribución óptima de órdenes polinómicos, los cuales guardan relación con las características del flujo que, a su vez, depenen de la geometría. Estas técnicas de adaptación reducen de manera significativa los grados de libertad y el coste computacional. Por último, esta aproximación anisotropica se extiende usando extrapolación del error de truncación, lo que conlleva un coste computational aún menor. Las estrategias se verifican y se comparan en téminors de precisión y coste computacional utilizando las ecuaciones de Euler y Navier Stokes. Los dos métodos quasi a priori consiguen una reducción significativa del coste computacional en comparación con aumento uniforme del orden polinómico. En concreto, para una capa límite viscosa, obtenemos una mejora en tiempo de computación de 6.6 y 7.6 respectivamente, para las aproximaciones quasi-a priori y quasi-a priori con corrección.

Discrete linear stability and sensitivity analysis of fluid flows

Este trabajo presenta un método discreto para el cálculo de estabilidad hidrodinámica y análisis de sensibilidad a perturbaciones externas para ecuaciones diferenciales y en particular para las ecuaciones de Navier-Stokes compressible. Se utiliza una aproximación con variable compleja para obtener una precisión analítica en la evaluación de la matriz Jacobiana. Además, mapas de sensibilidad para la sensibilidad a las modificaciones del flujo de base y a una fuerza constante permiten identificar las regiones del campo fluido donde una modificacin (ej. fuerza puntual) tiene un efecto estabilizador del flujo. Se presentan cuatro casos de prueba: (1) un caso analítico para comprobar la derivación discreta, (2) una cavidad cerrada a bajo Reynolds para mostrar la mayor precisión en el cálculo de los valores propios con la aproximación de paso complejo, (3) flujo 2D en un cilindro circular para validar la metodología, y (4) flujo en un cavidad abierta, presentado para validar el método en casos de inestabilidades convectivamente inestables. Los tres últimos casos mencionados (2-4) se resolvieron con las ecuaciones de Navier-Stokes compresibles, utilizando un método Discontinuous Galerkin Spectral Element Method. Se obtuvo una buena concordancia para el caso de validación (3), cuando se comparó el nuevo método con resultados de la literatura. Además, este trabajo muestra que para el cálculo de los modos propios directos y adjuntos, así como para los mapas de sensibilidad, el uso de variables complejas es de suprema importancia para obtener una predicción precisa. El método descrito es aplicado al análisis para la estabilización de la estela generada por un disco actuador, que representa un modelo sencillo para hélices, rotores de helicópteros o turbinas eólicas. Se explora la primera bifurcación del flujo para un disco actuador, y se sugiere que está asociada a una inestabilidad de tipo Kelvin-Helmholtz, cuya estabilidad se controla con en el número de Reynolds y en la resistencia del disco actuador (o fuerza resistente). En primer lugar, se verifica que la disminución de la resistencia del disco tiene un efecto estabilizador parecido a una disminución del Reynolds. En segundo lugar, el análisis hidrodinmico discreto identifica dos regiones para la colocación de una fuerza puntual que controle las inestabilidades, una cerca del disco y otra en una zona aguas abajo. En tercer lugar, se muestra que la inclusión de un forzamiento localizado cerca del actuador produce una estabilización más eficiente que al forzar aguas abajo. El análisis de los campos de flujo controlados confirma que modificando el gradiente de velocidad cerca del actuador es más eficiente para estabilizar la estela. Estos resultados podrían proporcionar nuevas directrices para la estabilización de la estela de turbinas de viento o de marea cuando estén instaladas en un parque eólico y minimizar las interacciones no estacionarias entre turbinas. ABSTRACT A discrete framework for computing the global stability and sensitivity analysis to external perturbations for any set of partial differential equations is presented. In particular, a complex-step approximation is used to achieve near analytical accuracy for the evaluation of the Jacobian matrix. Sensitivity maps for the sensitivity to base flow modifications and to a steady force are computed to identify regions of the flow field where an input could have a stabilising effect. Four test cases are presented: (1) an analytical test case to prove the theory of the discrete framework, (2) a lid-driven cavity at low Reynolds case to show the improved accuracy in the calculation of the eigenvalues when using the complex-step approximation, (3) the 2D flow past a circular cylinder at just below the critical Reynolds number is used to validate the methodology, and finally, (4) the flow past an open cavity is presented to give an example of the discrete method applied to a convectively unstable case. The latter three (2–4) of the aforementioned cases were solved with the 2D compressible Navier–Stokes equations using a Discontinuous Galerkin Spectral Element Method. Good agreement was obtained for the validation test case, (3), with appropriate results in the literature. Furthermore, it is shown that for the calculation of the direct and adjoint eigenmodes and their sensitivity maps to external perturbations, the use of complex variables is paramount for obtaining an accurate prediction. An analysis for stabilising the wake past an actuator disc, which represents a simple model for propellers, helicopter rotors or wind turbines is also presented. We explore the first flow bifurcation for an actuator disc and it suggests that it is associated to a Kelvin- Helmholtz type instability whose stability relies on the Reynolds number and the flow resistance applied through the disc (or actuator forcing). First, we report that decreasing the disc resistance has a similar stabilising effect to an decrease in the Reynolds number. Second, a discrete sensitivity analysis identifies two regions for suitable placement of flow control forcing, one close to the disc and one far downstream where the instability originates. Third, we show that adding a localised forcing close to the actuator provides more stabilisation that forcing far downstream. The analysis of the controlled flow fields, confirms that modifying the velocity gradient close to the actuator is more efficient to stabilise the wake than controlling the sheared flow far downstream. An interesting application of these results is to provide guidelines for stabilising the wake of wind or tidal turbines when placed in an energy farm to minimise unsteady interactions.

Optical properties of ZnMgO films grown by spray pyrolysis and their application to UV photodetection

This work presents a comprehensive optical characterization of Zn1−xMgxO thin films grown by spray pyrolysis (SP). Absorption measurements show the high potential of this technique to tune the bandgap from 3.30 to 4.11 eV by changing the Mg acetate content in the precursor solution, leading to a change of the Mg-content ranging from 0 up to 35%, as measured by transmission electron microscopy-energy dispersive x-ray spectroscopy. The optical emission of the films obtained by cathodoluminescence and photoluminescence spectroscopy shows a blue shift of the peak position from 3.26 to 3.89 eV with increasing Mg incorporation, with a clear excitonic contribution even at high Mg contents. The linewidth broadening of the absorption and emission spectra as well as the magnitude of the observed Stokes shift are found to significantly increase with the Mg content. This is shown to be related to both potential fluctuations induced by pure statistical alloy disorder and the presence of a tail of band states, the latter dominating for medium Mg contents. Finally, metal–semiconductor–metal photodiodes were fabricated showing a high sensitivity and a blue shift in the cut-off energy from 3.32 to 4.02 eV, i.e., down to 308 nm. The photodiodes present large UV/dark contrast ratios (102 − 107), indicating the viability of SP as a growth technique to fabricate low cost (Zn, Mg)O-based UV photodetectors reaching short wavelengths.

A coupled proton-transfer and twisting-motion fluorescence probe for lipid bilayers

A new and sensitive molecular probe, 2-(2′-hydroxyphenyl)imidazo[1,2-a]pyridine (HPIP), for monitoring structural changes in lipid bilayers is presented. Migration of HPIP from water into vesicles involves rupture of hydrogen (H) bonds with water and formation of an internal H bond once the probe is inside the vesicle. These structural changes of the dye allow the occurrence of a photoinduced intramolecular proton-transfer reaction and a subsequent twisting/rotational process upon electronic excitation of the probe. The resulting large Stokes-shifted fluorescence band depends on the twisting motion of the zwitterionic phototautomer and is characterized in vesicles of dimyristoyl-phosphatidylcholine and in dipalmitoyl-phosphatidylcholine at the temperature range of interest and in the presence of cholesterol. Because the fluorescence of aqueous HPIP does not interfere in the emission of the probe within the vesicles, HPIP proton-transfer/twisting motion fluorescence directly allows us to monitor and quantify structural changes within bilayers. The static and dynamic fluorescence parameters are sensitive enough to such changes to suggest this photostable dye as a potential molecular probe of the physical properties of lipid bilayers.

The efficiency of propulsion by a rotating flagellum

[At very low Reynolds number, the regime in which fluid dynamics is governed by Stokes equations, a helix that translates along its axis under an external force but without an external torque will necessarily rotate. By the linearity of the Stokes equations, the same helix that is caused to rotate due to an external torque will necessarily translate. This is the physics that underlies the mechanism of flagellar propulsion employed by many microorganisms. Here, I examine the linear relationships between forces and torques and translational and angular velocities of helical objects to understand the nature of flagellar propulsion.]

Real-time visualization of intracellular hydrodynamics in single living cells

Intracellular water concentrations in single living cells were visualized by nonlinear coherent anti-Stokes Raman scattering (CARS) microscopy. In combination with isotopic exchange measurements, CARS microscopy allowed the real-time observation of transient intracellular hydrodynamics at a high spatial resolution. Studies of the hydrodynamics in the microorganism Dictyostelium discoideum indicated the presence of a microscopic region near the plasma membrane where the mobility of water molecules is severely restricted. Modeling the transient hydrodynamics eventuated in the determination of cell-specific cytosolic diffusion and plasma membrane permeability constants. Our experiments demonstrate that CARS microscopy offers an invaluable tool for probing single-cell water dynamics.

The Caenorhabditis elegans maternal-effect sterile proteins, MES-2, MES-3, and MES-6, are associated in a complex in embryos

The Caenorhabditis elegans maternal-effect sterile genes, mes-2, mes-3, mes-4, and mes-6, encode nuclear proteins that are essential for germ-line development. They are thought to be involved in a common process because their mutant phenotypes are similar. MES-2 and MES-6 are homologs of Enhancer of zeste and extra sex combs, both members of the Polycomb group of chromatin regulators in insects and vertebrates. MES-3 is a novel protein, and MES-4 is a SET-domain protein. To investigate whether the MES proteins interact and likely function as a complex, we performed biochemical analyses on C. elegans embryo extracts. Results of immunoprecipitation experiments indicate that MES-2, MES-3, and MES-6 are associated in a complex and that MES-4 is not associated with this complex. Based on in vitro binding assays, MES-2 and MES-6 interact directly, via the amino terminal portion of MES-2. Sucrose density gradient fractionation and gel filtration chromatography were performed to determine the Stokes radius and sedimentation coefficient of the MES-2/MES-3/MES-6 complex. Based on those two values, we estimate that the molecular mass of the complex is ≈255 kDa, close to the sum of the three known components. Our results suggest that the two C. elegans Polycomb group homologs (MES-2 and MES-6) associate with a novel partner (MES-3) to regulate germ-line development in C. elegans.

PMD fundamentals: Polarization mode dispersion in optical fibers

This paper reviews the fundamental concepts and basic theory of polarization mode dispersion (PMD) in optical fibers. It introduces a unified notation and methodology to link the various views and concepts in Jones space and Stokes space. The discussion includes the relation between Jones vectors and Stokes vectors, rotation matrices, the definition and representation of PMD vectors, the laws of infinitesimal rotation, and the rules for PMD vector concatenation.

CHD1 is concentrated in interbands and puffed regions of Drosophila polytene chromosomes.

Previously, we reported on the discovery and characterization of a mammalian chromatin-associated protein, CHD1 (chromo-ATPase/helicase-DNA-binding domain), with features that led us to suspect that it might have an important role in the modification of chromatin structure. We now report on the characterization of the Drosophila melanogaster CHD1 homologue (dCHD1) and its localization on polytene chromosomes. A set of overlapping cDNAs encodes an 1883-aa open reading frame that is 50% identical and 68% similar to the mouse CHD1 sequence, including conservation of the three signature domains for which the protein was named. When the chromo and ATPase/helicase domain sequences in various CHD1 homologues were compared with the corresponding sequences in other proteins, certain distinctive features of the CHD1 chromo and ATPase/helicase domains were revealed. The dCHD1 gene was mapped to position 23C-24A on chromosome 2L. Western blot analyses with antibodies raised against a dCHD1 fusion protein specifically recognized an approximately 210-kDa protein in nuclear extracts from Drosophila embryos and cultured cells. Most interestingly, these antibodies revealed that dCHD1 localizes to sites of extended chromatin (interbands) and regions associated with high transcriptional activity (puffs) on polytene chromosomes from salivary glands of third instar larvae. These observations strongly support the idea that CHD1 functions to alter chromatin structure in a way that facilitates gene expression.

Geometric incompatibility in a fault system.

Interdependence between geometry of a fault system, its kinematics, and seismicity is investigated. Quantitative measure is introduced for inconsistency between a fixed configuration of faults and the slip rates on each fault. This measure, named geometric incompatibility (G), depicts summarily the instability near the fault junctions: their divergence or convergence ("unlocking" or "locking up") and accumulation of stress and deformations. Accordingly, the changes in G are connected with dynamics of seismicity. Apart from geometric incompatibility, we consider deviation K from well-known Saint Venant condition of kinematic compatibility. This deviation depicts summarily unaccounted stress and strain accumulation in the region and/or internal inconsistencies in a reconstruction of block- and fault system (its geometry and movements). The estimates of G and K provide a useful tool for bringing together the data on different types of movement in a fault system. An analog of Stokes formula is found that allows determination of the total values of G and K in a region from the data on its boundary. The phenomenon of geometric incompatibility implies that nucleation of strong earthquakes is to large extent controlled by processes near fault junctions. The junctions that have been locked up may act as transient asperities, and unlocked junctions may act as transient weakest links. Tentative estimates of K and G are made for each end of the Big Bend of the San Andreas fault system in Southern California. Recent strong earthquakes Landers (1992, M = 7.3) and Northridge (1994, M = 6.7) both reduced K but had opposite impact on G: Landers unlocked the area, whereas Northridge locked it up again.