La thèse traite de la dynamique d'un Condensat de Bose Einstein (CBE) dans un réseau optique modulé en phase et en amplitude. Dans un premier temps, je présente le dispositif expérimental permettant d'obtenir le CBE ainsi que le réseau optique, et décris les différents contrôles de la phase et de l'amplitude que nous avons mis en place. La première expérience que nous avons effectuée repose sur le changement brusque de la phase du réseau permettant de déplacer celui-ci de quelques dizaines de nm. Cette expérience nous a permis de mettre au point une méthode de calibration de la profondeur du potentiel périodique se basant sur la mesure de la période de la micro-oscillation de la chaîne de condensats induite par le déplacement soudain du potentiel. Il existe ainsi une bijection entre profondeur et période de l'oscillation faisant de cette dernière une candidate idéale comme méthode de calibration. Cette oscillation présente également de l'effet tunnel entre puits du réseau. Nous avons pu mesurer le temps tunnel i.e. le retard entre un paquet d'atomes ayant traversé une barrière de potentiel par effet tunnel et un paquet d'atomes ayant continué son oscillation. La dernière partie de ce manuscrit présente une étude de la dynamique du condensat dans un réseau dont la phase ou l'amplitude sont modulées sinusoïdalement. Nous avons étudié trois régimes de fréquences de modulation présentant des comportements très différents. Les régimes de fréquences sont définies par rapport à la fréquence résonante entre la bande fondamentale du réseau et la première bande excitée. Pour la modulation à basse fréquence, le taux tunnel intersite est renormalisé et peut atteindre des valeurs effectives négatives. Ce phénomène engendre une instabilité dynamique qui est à l'origine d'une transition de phase quantique. Nous avons effectué une étude théorique, numérique et expérimentale qui nous a permis de déterminer le rôle des fluctuations quantiques et thermiques dans la cinétique de cette transition. Pour le régime de modulation haute fréquence, la profondeur du potentiel du réseau est renormalisée par une fonction de Bessel. Nous nous sommes servis de cet effet pour placer les atomes dans une situation très loin de l'équilibre avec un grand contrôle. Enfin, en nous plaçant dans le régime où la fréquence de modulation est de l'ordre de la fréquence résonante entre la bande fondamentale du réseau et la première bande excitée, nous induisons des transitions interbandes. Nos données révèlent les règles de sélection qui sont différentes pour la modulation de phase et d'amplitude, et le rôle des interactions dans les excitations résonantes. / The subject of this thesis is the study of the dynamics of a Bose Einstein condensate in a phase and amplitude modulated optical lattice. First, I present the experimental setup allowing us to produce the BEC as well as the optical lattice. I describe the different means of control on the phase and on the amplitude of the lattice that we implemented. The first experiment we performed is based on the sudden shift of the phase of the lattice that induces a displacement of a few tenth of nm. This experiment allowed us to develop a new method to calibrate the depth of the lattice using the period of the micro-oscillation of the BEC chain triggered by the phase shift. There is a bijection between the depth of the lattice and the oscillation period giving the period the ideal profile to be a calibration method. The dynamic of the oscillation shows tunnel effect between adjacent wells of the lattice. We have been able to measure directly the tunneling time which is the delay between an atoms packet which passed through a potential barrier by tunnel effect and a packet of atoms which continued its oscillation. The last part of the manuscript presents a study of the dynamics of the BEC inside a lattice which phase or amplitude is modulated with a sine function. We study three ranges of modulation frequencies showing different behaviors. The frequency is compared with the resonant frequency between the fundamental band of the lattice band structure and the first excited band. When we modulate with low frequencies the phase of the lattice, the tunnel rate between adjacent wells is renormalized. This yields a dynamical instability which triggers a quantum phase transition. We performed a theoretical study, a numerical study and an experimental study that allowed us to define the role of quantum and thermal fluctuations in the system on the kinetics of this transition. For the high modulation frequency regime, the potential depth is renormalized with a Bessel function. We used this effect to put the atoms in a far-out of equilibrium position in a well- controlled manner. Lastly, by choosing the modulation frequency to be of the order of the resonant frequency between the fundamental band and the first excited band, we induce interband transitions. Our data reveal the selection rules which are different for phase and amplitude modulation, and the role of two-body interactions in the excitation process.

A particulate model is developed to analyze the effects of steady state and transient seepage of water through a randomly-packed coarse-grained soil as an improvement to conventional seepage analysis based on continuum models. In the new model the soil skeleton and pore water are volumetrically coupled. In the first phase of the study, the concept of relative density has been used to define different compaction levels of the soil layers of a completely saturated pavement filter system and observe the seepage response to compaction. First, Monte-Carlo simulation is used to randomly pack discrete spherical particles from a specified Particle Size Distribution (PSD) to achieve a desired relative density based on the theoretical minimum and maximum void ratios. Then, a water pressure gradient is applied across one two-layer filter unit to trigger water seepage. The pore water motion is idealized using Navier Stokes (NS) equations which also incorporate drag forces acting between the water and soil particles. The NS equations are discretized using finite differences and applied to discrete elements in a staggered, structured grid. The model predicted hydraulic conductivities are validated using widely used equations. The critical water velocities, hydraulic gradients and flow within the xi saturated soil layers are identified under both steady state and transient conditions. Significantly critical transient conditions seem to develop. In the second phase of the study the model is extended to analyze the confined flow through a partly saturated pavement layer and unconfined flow from a retention pond into the surrounding saturated granular soil medium. In partly saturated soil, the water porosity changes resulting from water flow is updated using the Soil Water Characteristics Curve (SWCC) of the soil. The results show how complete saturation develops due to water flow following the water porosity Vs pressure trend defined by the SWCC. Finally, the model is used to predict the gradual reduction in the water level of a retention pond and the location of the free-surface. The free-surface is determined by differentiating the wet and dry zones based on the Heaviside step function modified NS equations.

A numerical method (SIMPLE DIRK Method) for unsteady incompressible viscous flow simulation is presented. The proposed method can be used to achieve arbitrarily high order of accuracy in time-discretization which is otherwise limited to second order in majority of the currently used simulation techniques. A special class of implicit Runge-Kutta methods is used for time discretization in conjunction with finite volume based SIMPLE algorithm. The algorithm was tested by solving for velocity field in a lid-driven square cavity. In the test case calculations, power law scheme was used in spatial discretization and time discretization was performed using a second-order implicit Runge-Kutta method. Time evolution of velocity profile along the cavity centerline was obtained from the proposed method and compared with that obtained from a commercial computational fluid dynamics software program, FLUENT 6.2.16. Also, steady state solution from the present method was compared with the numerical solution of Ghia, Ghia, and Shin and that of Erturk, Corke, and Goökçöl. Good agreement of the solution of the proposed method with the solutions of FLUENT; Ghia, Ghia, and Shin; and Erturk, Corke, and Goökçöl establishes the feasibility of the proposed method.

A numerical method (SIMPLE DIRK Method) for unsteady incompressible viscous flow simulation is presented. The proposed method can be used to achieve arbitrarily high order of accuracy in time-discretization which is otherwise limited to second order in majority of the currently used simulation techniques. A special class of implicit Runge-Kutta methods is used for time discretization in conjunction with finite volume based SIMPLE algorithm. The algorithm was tested by solving for velocity field in a lid-driven square cavity. In the test case calculations, power law scheme was used in spatial discretization and time discretization was performed using a second-order implicit Runge-Kutta method. Time evolution of velocity profile along the cavity centerline was obtained from the proposed method and compared with that obtained from a commercial computational fluid dynamics software program, FLUENT 6.2.16. Also, steady state solution from the present method was compared with the numerical solution of Ghia, Ghia, and Shin and that of Erturk, Corke, and Goökçöl. Good agreement of the solution of the proposed method with the solutions of FLUENT; Ghia, Ghia, and Shin; and Erturk, Corke, and Goökçöl establishes the feasibility of the proposed method.

With higher frequencies now being used in RFID systems, antennas are becoming much smaller resulting in more space on tags that can be used for innovative array designs to harvest more wireless energy. This master's thesis outlines and details a new methodology for designing and simulating the staggered pattern charge collector, a technique to improve harvesting wireless energy. Staggered pattern charge collectors enable RFID tag's to produce a higher DC voltage from a charge pump circuit by creatively using multiple arrays to increase the antenna power conversion gain without limiting the half power beamwidth. This thesis discusses the basics of patch antennas and charge pumps as well as an optimization technique for the staggered pattern array by maximizing integrated power conversion gain (IPCG). An example of a staggered pattern charge collector is fully specified from design through simulation, in preparation for fabrication. This methodology allows for the staggered pattern charge collectors to be designed, simulated, and fabricated quickly and effectively.

The system diagrams for the digital radio compatible with NASA's S-Band Space Network operating from 2025.8 - 2117.9 MHz (forward link) to 2200 - 2300 MHz (return link) are presented. The digital radio implementation includes binary phase shift keying (BPSK), quadrature phase shift keying (QPSK) and staggered quadrature phase shift keying (SQPSK). We have derived the system requirements for these modulation schemes from the Space Network User Guide (SNUG) and thereafter, derived system diagrams for the communication links. The designed system diagrams for the transceiver were implemented using Simulink models and USRP2 platform.

Marsh vegetation is widely considered to offer protection against coastal storm damage, and vegetated flow has thus become a key area of hydrodynamic research. This study investigates the utility of simulated Spartina alterniora marsh vegetation as storm protection using an ADV measurement technique, and is the first to apply jet self-similarity analysis to characterize the overall mean and turbulent flow properties of a three-dimensional axisymmetric jet through a vegetated array. The mean axial flow of a horizontal axisymmetric turbulent jet is obstructed by three configurations of staggered arrays of vertical rigid plant stems. The entire experiment is repeated over five sufficiently high jet Reynolds number conditions to ensure normalization and subsequent collapse of data by nozzle velocity so that experimental error is obtained. All self-similarity parameters for the unobstructed free jet correspond to typical published values: the axial decay coefficient B is 5:8 +/- 0:2, the Gaussian spreading coefficient c is 85 +/- 5, and the halfwidth spreading rate eta_(1/2) is 0:093 +/- 0:003. Upon the introduction of vegetation, from partially obstructed to fully obstructed, B falls from 5:1+/- 0:2 to 4:2 +/- 0:2 and finally 3:7 +/-0:1 for the fully obstructed case, indicating that vegetation reduces axial jet velocity. Cross-sectionally averaged momentum for the unobstructed free jet is M=M0 = 1:05 +/- 0:07, confirming conservation of momentum. Failure of conservation of momentum is most pronounced in the fully obstructed scenario – M=M0 = 0:54 +/- 0:05. The introduction of vegetation increases spreading of the impinging jet. The entrainment coefficient alpha for the free jet case is 0.0575; in the fully obstructed case, alpha = 0:0631. Mean advection of mean and turbulent kinetic energy demonstrates an expected reduction in turbulence intensity within the vegetated array. In general, turbulent production decreases as axial depth of vegetation increases, though retains the bimodal profile of the free jet case; the fully vegetated case, however, exhibits clear peaks behind plant stems. Turbulent transport was shown to be unaffected by vegetation and appears to be primarily a function of axial distance from the jet nozzle. An analysis of rate of dissipation revealed that not only does the cumulative effect of upstream wakes overall depress the magnitude of spectral energy density across all wavenumbers but also that plant stems dissipate large anisotropic eddies in centerline streamwise jet flow. This study, thus, indicates that sparse emergent vegetation both reduces axial flow velocity and has a dissipative effect on jet flow. Typically, however, storm surge does not exhibit the lateral spreading demonstrated by an axisymmetric jet; therefore, the results of this study cannot conclusively support the claim that coastal vegetation reduces storm surge axial velocity.

Förutom i Stockholm uppvisar den lokala kollektivtrafiken en nedåtgående trend i trafikutvecklingen, trots en årlig subvention om 10 miljarder kronor. Drift av lokal kollektivtrafik i mindre och medelstora städer baserat på samhällsekonomiska kriterier skulle bl a medföra en prispolitik som kräver en subvention om drygt 50%. Att detta ungefär motsvarar rådande subventioneringsgrad är dock inte ett tecken på att kollektivtrafiken bedrivs på samhällsekonomisk grundval, eftersom det visar sig att prisstrukturen är grovt suboptimal. Vad gäller investeringspolitik framgår det dessutom av en enkätundersökning att trafikhuvudmännen inte använder samhällsekonomisk kalkyl (CBA) vid planering och drift av lokal kollektivtrafik, så syftet med avhandlingen är att visa på de möjligheter till förbättringar av den lokala kollektivtrafiken som skulle uppstå om den bedrevs på samhällsekonomisk grundval. Operationaliseringen av teorin kräver först att några grundfrågor för en tillämpning av allmän välfärdsekonomisk teori på bedrivande av lokal kollektivtrafik benas upp. Det är väsentligt att göra en åtskillnad av utbudet av kollektiva transporttjänster mellan ett grundläggande utbud som är att betrakta som ”merit goods” och övrigt utbud där nyttan på normalt sätt mäts genom konsumenternas betalningsvilja. I en omfattande fallstudie av den lokala kollektivtrafiken i Linköping exemplifieras vad effekten blir, dels av vissa utbudsförändringar, som har sållats fram i strävan mot systemoptimum, dels av ändamålsenlig efterfrågestyrning, och med CBA beräknas vad nettoresultatet kan tänkas bli. Om förbättringar som ger lika stor nettonytta som i Linköping kan göras hos flertalet andra trafikhuvudmän med en samhällsekonomisk ansats, skulle den totala nettonyttan aggregerad över hela Sverige vara betydligt större än vad vissa av de omskrivna jätteprojekten inom kollektivtrafiksektorn kan prestera. / Except in Stockholm, local public transport shows a declining trend in spite of an annual total subsidy from the County councils of 10 billion SEK. This is fair enough. Running local bus services in small and medium sized towns in accordance with welfare economic criteria implies among other things a pricing policy which requires subsidization just above 50%, which happens to be the same as the present degree of tax-financing. However, this is just a coincidence, and not a mark of optimality, because it is found that the structure of fares is clearly suboptimal. As regards investment policy it is furthermore confirmed by a questionnaire survey that neither the principals (the County councils) nor their agents (bus companies) use cost-benefit analysis (CBA) for the design of local public transport systems, so the purpose of the thesis is to demonstrate the potential improvements of public transport in small and medium sized towns run on the basis of welfare economics. The operationalization of the welfare economic foundations requires some theoretical reorientation in the particular case of local public transport. A fundamental division of the supply is made between the “merit goods” part of total supply and the “normal goods” part, where benefit is measured by the individual willingness-to-pay. In a case study of the bus transport system of Linköping a number of generally applicable minor improvements are found by the welfare economic approach, which aggregated to the national level would imply a total net benefit which more spectacular projects in the public transport sector rarely can present.

Dans les installations nucléaires, les explosions, qu’elles soient d’origine interne ou externe, peuvent entrainer la rupture du confinement et le rejet de matières radioactives dans l’environnement. Il est donc fondamental, dans un cadre de sûreté de modéliser ce phénomène. L’objectif de cette thèse est de contribuer à l’élaboration de schémas numériques performants pour résoudre ces modèles complexes. Les travaux présentés s’articule autour de deux axes majeurs : le développement de schémas volumes finis consistants pour les équations d’Euler compressible qui modélise les ondes de choc et celui de schémas performants pour la propagation d’interfaces comme le front de flamme lors d'une déflagration. La discrétisation spatiale est de type mailles décalées pour tous les schémas développés. Les schémas pour les équations d'Euler se basent sur une formulation en énergie interne qui permet de préserver sa positivité ainsi que celle de la masse volumique. Un bilan d'énergie cinétique discret peut être obtenu et permet de retrouver un bilan d'énergie totale par l'ajout d'un terme de correction dans le bilan d'énergie interne. Le schéma ainsi construit est consistant au sens de Lax avec les solutions faibles entropiques des équations continues. On utilise les propriétés des équations de type Hamilton-Jacobi pour construire une classe de schémas volumes finis performants sur une large variété de maillages modélisant la propagation du front de flamme. Ces schémas garantissent un principe du maximum et possèdent des propriétés importantes de monotonie et consistance qui permettent d'obtenir un résultat de convergence. / In nuclear facilities, internal or external explosions can cause confinement breaches and radioactive materials release in the environment. Hence, modeling such phenomena is crucial for safety matters. The purpose of this thesis is to contribute to the creation of efficient numerical schemes to solve these complex models. The work presented here focuses on two major aspects: first, the development of consistent schemes for the Euler equations which model the blast waves, then the buildup of reliable schemes for the front propagation, like the flame front during the deflagration phenomenon. Staggered discretization is used in space for all the schemes. It is based on the internal energy formulation of the Euler system, which insures its positivity and the positivity of the density. A discrete kinetic energy balance is derived from the scheme and a source term is added in the discrete internal energy balance equation to preserve the exact total energy balance. High order, MUSCL-like interpolators are used in the discrete momentum operators. The resulting scheme is consistent (in the sense of Lax) with the weak entropic solutions of the continuous problem. We use the properties of Hamilton-Jacobi equations to build a class of finite volume schemes compatible with a large number of meshes to model the flame front propagation. These schemes satisfy a maximum principle and have important consistency and monotonicity properties. These latters allows to derive a convergence result for the schemes based on Cartesian grids.

Microfluidic devices are more frequently being used in medicine as they operate with small amounts of test samples, such as blood or reagent chemicals. To work with such substances, effective mixing of the solution is usually required, which emerged as the most challenging problem in microfluidic systems. Due to the minor dimensions of the devices only laminar flow occurs, thus the turbulent eddies do not contribute to the mixing, but only the molecular diffusivity.