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Thesis (M.Eng.)(Mechanical)--University of Pretoria, 2006. / Includes summary. Includes bibliographical references. Available on the Internet via the World Wide Web.

Flaps used in modern aircraft are known to produce high-intensity noise. Their blunt side edges of the wing's flap produce vorticial wakes which are the main contributors to the noise generated. A concept called continuous mold-line (CML) link flap has been studied rigorously for its impact on the acoustic behavior of the wing. These studies found that eliminating the blunt side tips with a continuous mold-line reduces the noise generated by the wing, drastically. However, very few studies have discussed the effects of mold-line shape on its aerodynamic characteristics. Therefore, the objective of this research is to investigate the effect of shape and geometry on the aerodynamics of CML wings. First, the shape of the continuous mold-line is parametrized using a hyperbolic tangent curve. Then, using ANSYS FLUENT a computational model is developed to calculate the lift and drag generated by different CML configurations. Both, inviscid and viscous studies are performed using FLUENT's pressure-based solver. The effect of span and slope at the mid-point of the transition zone are discussed. The study found that the slope at the mid-point of the transition zone does not affect the overall lift generated by the wing. Also, increasing the span of the transition zone initially increases the drag and begins to decrease at higher span lengths. Overall, it was found that the aerodynamic characteristics (such as lift, drag, and efficiency) of the CML wing are better than the conventional blunt tip hinged flap. / Master of Science / Flaps used in modern aircraft are known to produce high-intensity noise. One of the main contributors to the high-intensity noise is the blunt side edges of the wing's flap. To eliminate the noise produced by the flaps, researchers have come up with a concept called continuous mold-line (CML) link flap. In this concept, we join the flap side edge with the main wing and thus remove the side edges. Studies undertaken till now have mainly focused on the acoustic aspects of the CML wing. Hence, this study focuses on the effect the mold-line shape has on the wing's aerodynamic behavior. The study first discusses a parametric curve that will be used to define the shape of the CML region of the wing. Then, the study calculates the aerodynamic characteristics, such as lift and drag generated by the wing, using the commercial software ANSYS FLUENT. The results obtained by changing the slope at the mid-point and length of the CML region are discussed. Finally, the study presented also compares the aerodynamic characteristics (such as lift, drag, and efficiency) of the CML wing are better than the conventional blunt tip hinged flap.

This dissertation is concerned with the mathematical modeling of the flow in a porous cylinder with a focus on applications to solid rocket motors. After discussing the historical development and major contributions to the understanding of wall injected flows, we present an inviscid rotational model for solid and hybrid rockets with arbitrary headwall injection. Then, we address the problem of pressure integration and find that for a given divergence free velocity field, unless the vorticity transport equation is identically satisfied, one cannot find an analytic expression for the pressure by direct integration of the Navier-Stokes equations. This is followed by the application of a variational procedure to seek novel solutions with varying levels of kinetic energies. These are found to cover a wide spectrum of admissible motions ranging from purely irrotational to highly rotational fields. Subsequently, a second law analysis as well as an extension of Kelvin's energy theorem to open boundaries are presented to verify and corroborate the variational model. Finally, the focus is shifted to address the problem of laminar viscous flow in a porous cylinder with regressing walls. This is tackled using two different analytical techniques, namely, perturbation and decomposition. Comparisons with numerical Runge--Kutta solutions are also provided for a variety of wall Reynolds numbers and wall regression speeds.

These thesis review some recent results on the construction of very high order multidimensional upwind schemes for the solution of steady and unsteady conservation laws on unstructured triangular grids. We also consider the extension to the approximation of solutions to conservation laws containing second order dissipative terms. To build this high order schemes we use a sub-triangulation of the triangular Pk elements where we apply the distribution used for a P1 element. This manuscript is divided in two parts. The first part is dedicated to the design of the high order schemes for scalar equations and focus more on the theoretical design of the schemes. The second part deals with the extension to system of equations, in particular we will compare the performances of 2nd, 3rd and 4th order schemes. The first part is subdivided in four chapters: The aim of the second chapter is to present the multidimensional upwind residual distributive schmes and to explain what was the status of their development at the beginning of this work. The third chapter is dedicated to the first contribution: the design of 3rd and 4th order quasi non-oscillatory schemes. The fourth chapter is composed of two parts: We start by understanding the non-uniformity of the accuracy of the 2nd order schemes for advection-diffusion problem. To solve this issue we use a Finite Element hybridisation. This deep study of the 2nd order scheme is used as a basis to design a 3rd order scheme for advection-diffusion. Finally, in the fifth chapter we extend the high order quasi non-oscillatory schemes to unsteady problems. In the second part, we extend the schemes of the first part to systems of equations as follows: The sixth chapter deals with the extension to steady systems of hyperbolic equations. In particular, we discuss how to solve some issues such as boundary conditions and the discretisation of curved geometries. Then, we look at the performance of 2nd and 3rd order schemes on viscous flow. Finally, we test the space-time schemes on several test cases. In particular, we will test the monotonicity of the space-time non-oscillatory schemes and we apply residual distributive schemes to acoustic problems.

Least-squares finite element method (LSFEM) is employed to simulate 2-D and axisymmetric flows governed by the compressible Euler equations. Least-squares formulation brings many advantages over classical Galerkin finite element methods. For non-self-adjoint systems, LSFEM result in symmetric positive-definite matrices which can be solved efficiently by iterative methods. Additionally, with a unified formulation it can work in all flight regimes from subsonic to supersonic. Another advantage is that, the method does not require artificial viscosity since it is naturally diffusive which also appears as a difficulty for sharply resolving high gradients in the flow field such as shock waves. This problem is dealt by employing adaptive mesh refinement (AMR) on triangular meshes. LSFEM with AMR technique is numerically tested with various flow problems and good agreement with the available data in literature is seen.

Cette thèse vise à une meilleure compréhension de la dynamique du voilier et à la validation des outils numériques de prédiction de performances et d’optimisation par l'étude expérimentale in situ du problème aéro-élastique d'un gréement. Une instrumentation est développée sur un voilier de 8m de type J80 pour la mesure dynamique des efforts dans le gréement, de la forme des voiles en navigation, du vent et des attitudes du bateau. Un effort particulier est apporté à la mesure des caractéristiques géométriques et mécaniques des éléments du gréement, la calibration des capteurs et au système d'acquisition des données. Les principaux résultats montrent que le voilier instrumenté est un outil adapté pour les mesures instationnaires et soulignent l'amplitude de variation d'effort rencontrée en mer (20 à 50% de l'effort moyen dans une houle modérée). En outre, les variations du signal d'effort sont déphasées avec l'angle d'assiette, créant un phénomène d'hystérésis. Le comportement dynamique d'un voilier en mouvement diffère ainsi de l'approche quasi-statique. Les simulations numériques proviennent du code ARAVANTI, couplage implicite d’un code structure éléments finis ARA et d’un code fluide parfait, limitant son domaine de validité aux allures de près Les résultats de simulation sont très proches des cas stationnaires et concordent bien avec les mesures en instationnaire dans une houle de face. L'expérimentation numérique d'un gréement soumis à des oscillations harmoniques en tangage souligne l'importance de l'approche Interaction Fluide Structure (IFS) et montre que l’énergie échangée par le système avec la houle est reliée à la fréquence réduite et l'amplitude du mouvement. Certaines informations n'étant pas disponibles sur le voilier instrumenté, une expérience contrôlée en laboratoire est développée. Elle consiste en un carré de tissu tenu par deux lattes en oscillation forcée. Les mesures sur cette « voile oscillante » permettent d'étudier les phénomènes IFS avec décollement et sont utilisées pour la validation du couplage ARA-ISIS entre un code fluide Navier-Stokes (RANS) et le même code structure. / This work presents a full scale experimental study on the aero-elastic wind/sails/rig interaction in real navigation condition with the aim to give a reliable database of unsteady measurement. This database is used for the investigation of the dynamic behavior and loads in the rigging and for an experimental validation of an unsteady Fluid Structure Interaction (FSI) model. An inboard instrumentation system has been developed on a 8 meter yacht (J80 class) to simultaneously and dynamically measure the navigation parameters, yacht's motion, sails flying shape, wind and loads in the rigging. A special effort is made on mechanical and geometrical characteristics measurement, sensors calibration and data acquisition system synchronization. Results show that the instrumented boat is a reliable tool to measure the unsteady phenomena in navigation. Dynamic measurements at sea underline the load variation encountered, which represent 20 to 50% of the mean value in a moderate sea state. Oscillations of loads exhibit phase shift with the trim angle, reason for an hysteresis phenomenon, which shows that the dynamic behavior of a sail plan subject to yacht motion clearly deviates from the quasi-steady theory. Simulations are made with ARAVANTI, an implicit coupling of a Finite Element Method structural model ARA and an inviscid fluid model which restricts the simulation domain to upwind conditions. The simulation results compare very well with the experimental data for steady sailing conditions and show a good agreement in unsteady conditions (head swell). Numerical investigation of a sail plan submitted to harmonic pitching motion underlines the importance of FSI modeling and shows that the energy exchanged by the system with the swell increases with the motion reduced frequency and amplitude. Some information is not accessible on the instrumented boat and requires developing a controlled test case in laboratory. The experiment consists of a spinnaker fabric square mounted on two carbon battens moved in forced oscillation. This test case is used to study FSI phenomena with a separated flow and gives experimental results for the validation of the coupling ARA-ISIS of a RANS fluid model with the same structure model.

These thesis review some recent results on the construction of very high order multidimensional upwind schemes for the solution of steady and unsteady conservation laws on unstructured triangular grids.<p>We also consider the extension to the approximation of solutions to conservation laws containing second order dissipative terms. To build this high order schemes we use a subtriangulation of the triangular Pk elements where we apply the distribution used for a P1 element.<p>This manuscript is divided in two parts. The first part is dedicated to the design of the high order schemes for scalar equations and focus more on the theoretical design of the schemes. The second part deals with the extension to system of equations, in particular we will compare the performances of 2nd, 3rd and 4th order schemes.<p><p>The first part is subdivided in four chapters:<p>The aim of the second chapter is to present the multidimensional upwind residual distributive schemes and to explain what was the status of their development at the beginning of this work.<p>The third chapter is dedicated to the first contribution: the design of 3rd and 4th order quasi non-oscillatory schemes.<p>The fourth chapter is composed of two parts: we start by understanding the non-uniformity of the accuracy of the 2nd order schemes for advection-diffusion problem. To solve this issue we use a Finite Element hybridisation.<p>This deep study of the 2nd order scheme is used as a basis to design a 3rd order scheme for advection-diffusion.<p>Finally, in the fifth chapter we extend the high order quasi non-oscillatory schemes to unsteady problems.<p>In the second part, we extend the schemes of the first part to systems of equations as follows:<p>The sixth chapter deals with the extension to steady systems of hyperbolic equations. In particular, we discuss how to solve some issues such as boundary conditions and the discretisation of curved geometries.<p>Then, we look at the performance of 2nd and 3rd order schemes on viscous flow.<p>Finally, we test the space-time schemes on several test cases. In particular, we will test the monotonicity of the space-time non-oscillatory schemes and we apply residual distributive schemes to acoustic problems. / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished

Ce travail s’inscrit dans le projet VOILENav qui vise à améliorer la compréhension des phénomènes d’Interaction Fluide-Structure appliqués aux voiles. Des comparaisons numériques expérimentales sont réalisées sur des mesures « in situ » au près à l’aide d’un code fluide parfait. Un critère, fondé sur l’équilibre du couple aérodynamique avec le couple de redressement, est proposé, permettant de vérifier l’hypothèse d’un écoulement attaché. Les précédentes études sur un voilier instrumenté ont montré les limites d’une approche « in situ » de par l’instationnarité naturelle liée aux évolutions du vent et de l’état de mer. Les autres limites résident dans la mesure de ces dernières – et tout particulièrement la mesure du vent réel – ainsi que dans le spectre des conditions rencontrées au réel. Des essais en soufflerie sont ainsi réalisés dans le cadre de ces travaux pour répondre, par une approche systématique et contrôlée, aux interrogations soulevées par les mesures « in situ ». Deux campagnes expérimentales successives, soutenues par le programme d’échange Sailing Fluids ont été menées dans la soufflerie du Yacht Research Unit de l’Université d’Auckland se focalisant sur les essais de voiles au près puis au portant. Les essais au près sont réalisés sur trois modèles réduits de grand-voiles d’IMOCA60 dans des conditions de réglages statiques et dynamiques. Le meilleur réglage statique est obtenu grâce à l’utilisation d’un algorithme d’optimisation original puis l’influence de l’amplitude et de la fréquence du « pumping » sont étudiés. Les performances aérodynamiques du système soumis à un réglage dynamique sont supérieures à celles du réglage optimum statique et un maximum est observé autour d’une fréquence réduite de 0.25 à 0.3. Au portant, les effets de l’instationnarité naturelle du spinnaker connue sous le terme « curling » (repliement du bord d’attaque) sont étudiés. Quatre modèles de spinnakers de J80 de forme identique sont testés pour différents matériaux et différentes coupes. Les mesures en soufflerie montrent que, pour des angles de vent apparent supérieurs à 100°, l’apparition du « curling » conduit à une augmentation de la force propulsive pouvant atteindre 10%. Les effets de la vitesse et de l’angle de vent apparent sont également étudiés et permettent d’extraire une fréquence réduite de curling indépendante de la vitesse de l’écoulement de 0.4 pour un vent apparent de 120°. L’étendue de la gamme de mesures explorées et le soin particulier apporté aux données expérimentales font de ces travaux une base de données remarquable pour des comparaisons avec des simulations de l’Interaction Fluide-Structure. / This work is part of the VOILENav project which aims to improve the understanding of Fluid-Structure Interaction applied to sails. Full-scale numerical experimental comparisons are achieved in upwind conditions with an inviscid flow code. A criterion using the equilibrium between the righting and heeling moment is suggested to check the attached flow hypothesis. Previous fullscale studies on instrumented boat are limited by the natural unsteadiness of wind and sea conditions and the measurement of these conditions. True wind computation and the wide range of encountered sailing conditions are still challenging. Complementary wind tunnel tests are carried out in this PhD project, using controlled conditions, to address some issues observed at full-scale. Thanks to the Sailing Fluids collaboration, two experimental campaigns in the Twisted Flow Wind Tunnel of the Yacht Research Unit of the University of Auckland have investigated upwind and downwind conditions. Upwind tests investigate static and dynamic trimming on three model IMOCA60 mainsails. The optimum static trim is determined thanks to an innovative optimization algorithm then the pumping amplitude and frequency are investigated. Aerodynamic performances under dynamic trimming are better than the optimum static trim with a maximum located for a reduced frequency about 0.25 to 0.3. For the downwind test, the natural unsteadiness known as curling (repeated foldingunfolding of leading edge) is studied. Four model J80 spinnakers with identical design shape are tested with different materials and cuts. Wind tunnel measurements show that for apparent wind angles higher than 100°, the curling apparition increases the drive force by up to 10%. Wind speed and wind angle effects are investigated and show a reduced curling frequency of 0.4 independent from the flow velocity for an apparent wind angle of 120°. The variety of the experimental conditions tested makes this work a precious database for Fluid Structure Interaction numerical-experimental comparison in the future.