Cette étude vise à caractériser en soufflerie les mécanismes aérodynamiques à l’origine de la génération puis la transmission des fluctuations de bruit dans un modèle d’habitacle automobile. Le banc d’essai conçu en soufflerie anéchoïque consiste en un écoulement dont la vitesse incidente est modulée par un volet mobile, et qui par interaction avec une marche montante rayonne un bruit aéroacoustique transmis à travers une vitre dans un caisson anéchoïque. L’approche retenue consiste, pendant le temps de maniement du volet, à mesurer et relier le champ de vitesse externe mesuré à l’aide de la technique de vélocimétrie laser par images de particules (TR-PIV échantillonnée à 20 kHz) à la pression pariétale d’une part, puis au champ acoustique interne obtenu par transmission d’autre part. Des outils de corrélation spatio-temporelle sont alors utilisés pour mettre en évidence les zones de l’écoulement les plus corrélées avec les fluctuations d’énergie de la pression pariétale et celles du niveau de bruit intérieur. La fluctuation du chargement aérodynamique de la vitre sous la bulle de recirculation est logiquement liée à l’activité instationnaire de cette dernière, puis plus en aval, au lâcher tourbillonnaire. Quant au bruit transmis dans le modèle d’habitacle, il semble principalement lié aux fluctuations de vitesse dans la couche de cisaillement. Enfin, une procédure spécifique a permis d’évaluer le caractère quasi-stationnaire des variations temporelles des quantités fluctuantes ainsi que la réponse acoustique de la vitre. / This study aims at characterizing in a wind tunnel the aerodynamic mechanisms contributing to the generation and transmission of the noise fluctuations into a car interior model. The test bench designed in anechoic wind tunnel consists of a flow whose incoming flow velocity is modulated by a mobile flap, and which by interaction with a forward-facing step radiates an aeroacoustic noise transmitted through a glass into an anechoic box. The adopted approach consists, during the flap handling time, in measuring and connecting the external velocity field measured using the Time-Resolved laser Particle Image Velocimetry technique (TR-PIV at sampling frequency 20 kHz) to the wall pressure on the one hand, and then to the internal acoustic field obtained by transmission on the other hand. Spatio-temporal correlation tools are then used to highlight the flow areas that are the most correlated with the energy fluctuations of the wall pressure and with those of the internal noise level. The fluctuation of the aerodynamic loading of the window under the recirculation bubble is logically related to the unsteady activity of the latter, then further downstream to the vortex stream. As for the noise transmitted into the cabin model, it seems mainly related to the speed fluctuations in the shear layer. Finally, a specific procedure allows to evaluate the quasi-steady nature of the temporal variations of the fluctuating quantities, as well as the acoustic response of the window.

Les travaux présentés dans le cadre de cette thèse de doctorat concernent la problématique d’arrachement de bâches de semi-remorques convoyés par le réseau d’autoroutes ferroviaires. En effet, les phénomènes turbulents générés autour d’un tel convoi provoquent d’importantes fluctuations de pression sur les parois bâchées, entrainant des mouvements de forte amplitude menant à la rupture sur de longues périodes de sollicitation. Ce phénomène pouvant provoquer plusieurs types d’incidents pour l’exploitant du réseau (embrasement par contact caténaire, retard des trains, perte de marchandise, etc...), il est nécessaire de comprendre les phénomènes physiques mis en jeu et de dégager une solution de contrôle de l’écoulement satisfaisant les contraintes de l’industrie ferroviaire. Pour ce faire, une étude expérimentale et numérique de l’écoulement autour d’une configuration bidimensionnelle de marche montante a été réalisée afin de caractériser l’influence des différentes zones décollées sur les fluctuations de pression pariétale induites en aval de la marche. A cet effet, une série de mesures de champs de vitesse et de pression pariétale ont été réalisées dans la soufflerie du Lamih. Les résultats observés expérimentalement ont pu être confrontés à ceux obtenus par une approche numérique dans des conditions équivalentes. L’analyse de l’écoulement s’est principalement focalisée sur deux points. Le premier concerne la dynamique des zones de recirculation en interaction avec la couche de cisaillement. Une approche stochastique a été déployée, et a permis de mettre en évidence les mécanismes prépondérants à l’origine du phénomène. Le second point porte sur les liens entretenus entre ces mécanismes et les fluctuations de pression pariétale. Une approche modale, basée sur une décomposition orthogonale aux valeurs propres étendue, a permis de révéler l’importante contribution des basses fréquences dans ce cas de figure. Enfin, une solution de contrôle passive (déflecteur) a été testée et a permis de montrer que la suppression de ces mécanismes basse fréquence permet d’obtenir un gain en termes de pression pariétale pouvant aller jusqu’à 36% selon les configurations. / The work presented in the framework of this doctoral thesis concerns the problem of the tarpaulins tearing off of semi-trailers conveyed by the motorways network. Indeed, the turbulent phenomena generated around such a convoy cause large pressure fluctuations on the walls, resulting in high amplitude movements leading to breakage over long periods of stress. This phenomenon can cause several types of incidents for the operator of the network (ignition by catenary contact, train delay, loss of goods,...), it is necessary to understand the physical phenomena involved and to define a flow control solution that take into account the rail industry constraints. To do this, an experimental and numerical study of the flow around a two-dimensional forward facing step configuration was carried out in order to characterize the influence of the different separated zones on the wall pressure fluctuations induced downstream of the step. For this purpose, a series of velocity field and wall pressure measurements were carried out in the Lamih wind tunnel. The experimental results could be compared with those obtained by a numerical approach under the same conditions. The flow analysis focused mainly on two points. The first concerns the dynamics of the recirculation zones interacting with the shear layer. A stochastic approach has been used, and has made it possible to highlight the dominant mechanisms at the origin of the phenomenon. The second point concerns the dynamical links between these mechanisms and the wall pressure fluctuations. A modal approach, based on an extended orthogonal decomposition, revealed the important contribution of the low frequencies in this case. Finally, a passive control solution (deflector) was tested and showed that the low frequency mechanisms suppression provide a wall pressure gain up to 36 % depending on configurations.

Shock wave-boundary layer interactions (SWBLIs) have been studied ex-tensively due to their practical importance in the design of high speed ve-hicles. These interactions, especially the ones leading to shock induced separation are typically unsteady in nature and can lead to large fluctuating pressure and thermal loads on the structure. The resulting shock oscil-lations are generally composed of high-frequency small-scale oscillations and low-frequency large-scale oscillations, the source of the later being a subject of intense recent debate. Motivated by these debates, we study in the present work, the SWBLI at a compression ramp and on a forward-facing step (FFS) at a Mach number of 2.5. In the case of compression ramps, a few ramp angles are studied ranging from small (10 degree) ramp angle to relatively large values of up to 28 degrees. The FFS configuration, which consists of a 90 degree step of height h, may be thought of as an extreme case of the compression ramp geometry, with the main geometri-cal parameter here being (h/δ), where δis the thickness of the oncoming boundary layer. This configuration is less studied and has some inherent advantages for experimentally studying SWBLI as the size of the separa-tion bubble is large. In the present experimental study, we use high-speed schlieren, unsteady wall pressure measurements, surface oil flow visualiza-tion, and detailed particle image velocimetry (PIV) measurements in two orthogonal planes to help understand the features of SWBLI in the com-pression ramp geometry and the forward-facing step case. The SWBLI at a compression ramp has been more widely studied, and our measurements show the general features that have been seen in earlier studies. The upstream boundary layer is found to separate close to the ramp corner forming a separation bubble. The streamwise length of the separa-tion bubble is found to increase with the ramp angle, with a consequent shift of the shock foot further upstream. At very small ramp angles up to 10 degrees, there is no evidence of separation, while at large ramp angles of 28 degrees, the separation bubble extends upstream to about 3.5δ(δ=boundary layer thickness). In all cases, the separation bubble is however very small in the wall normal direction, typically known to be about 0.1δ, and hence is difficult to directly measure in experiments using PIV. Shock foot measurements using PIV show that the shock has a spanwise ripple, which seems directly related to the high-and low-speed streaks in the in-coming boundary layer as recently shown by Ganapathisubramani et al. (2007). The forward-facing step configuration may be thought of as an extreme case of the compression ramp geometry, with a ramp angle of 90 degrees. This configuration has not been extensively studied, and is experimentally convenient due to the large separation bubbles formed ahead of the step. In the present work, extensive measurements of the mean and unsteady flow around this configuration have been done, especially for the case of h/δ=2, where his the step height. Pressure measurements in this case, show clear low-frequency motions of the shock at non-dimensional frequencies of about fh/U∞≈ 0.02. In this case, PIV measurements show the pres-ence of a large mean separation bubble extending to about 4hupstream and about 1hvertically. Instantaneous PIV measurements have been done in both cross-stream (streamwise and wall-normal plane) and in the span-wise (streamwise-spanwise) plane. Instantaneous cross-stream PIV mea-surements show significant variations of the shock location and angle, be-sides large variations in the recirculation region (or separation bubble), this being determined as the area having streamwise velocities less than zero. From a large set of individual PIV instantaneous fields, we can estimate the correlation of the measured shock location to both downstream effects like the area of the recirculation region, and upstream effects like the presence of high-/low-speed streaks in the oncoming boundary layer. We find that the shock location measured from data outside the boundary layer is more highly correlated to downstream effects as measured through the recircu-lation area compared to upstream effects in the boundary layer. However, we find that the shock foot within the boundary layer has ripples in the spanwise direction which are well correlated to the presence of high-/low-speed streaks in the incoming boundary layer. These spanwise ripples are however found to be small (less than one h) compared to the highly three-dimensional shape of the recirculation region with spanwise variation of the order of 3 step heights. In summary, the study shows that the separated region ahead of the step is highly three-dimensional. The shock foot within the boundary layer is found to have ripples that are well correlated to fluctuations in the in-coming boundary layer. However, we find that the large-scale nearly two-dimensional shock motions outside the boundary layer are not well cor-related to the fluctuations in the boundary layer, but are instead well cor-related with the spanwise-averaged separation bubble extent. Hence, the present results suggest that for the forward-facing step configuration, it is the downstream effect caused by the separation bubble that leads to the observed low-frequency shock motions.

This work develops a discontinuous Galerkin finite element discretization of non- linear hyperbolic conservation equations with efficient and robust high order stabilization built on an entropy-based artificial viscosity approximation. The solutions of equations are represented by elementwise polynomials of an arbitrary degree p > 0 which are continuous within each element but discontinuous on the boundaries. The discretization of equations in time is done by means of high order explicit Runge-Kutta methods identified with respective Butcher tableaux. To stabilize a numerical solution in the vicinity of shock waves and simultaneously preserve the smooth parts from smearing, we add some reasonable amount of artificial viscosity in accordance with the physical principle of entropy production in the interior of shock waves. The viscosity coefficient is proportional to the local size of the residual of an entropy equation and is bounded from above by the first-order artificial viscosity defined by a local wave speed. Since the residual of an entropy equation is supposed to be vanishingly small in smooth regions (of the order of the Local Truncation Error) and arbitrarily large in shocks, the entropy viscosity is almost zero everywhere except the shocks, where it reaches the first-order upper bound. One- and two-dimensional benchmark test cases are presented for nonlinear hyperbolic scalar conservation laws and the system of compressible Euler equations. These tests demonstrate the satisfactory stability properties of the method and optimal convergence rates as well. All numerical solutions to the test problems agree well with the reference solutions found in the literature. We conclude that the new method developed in the present work is a valuable alternative to currently existing techniques of viscous stabilization.