Дисертації з теми "PDEs in fluid mechanics"
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Li, Siran. "Analysis of several non-linear PDEs in fluid mechanics and differential geometry." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:20866cbb-e5ab-4a6b-b9dc-88a247d15572.
Повний текст джерелаBocchi, Edoardo. "Compressible-incompressible transitions in fluid mechanics : waves-structures interaction and rotating fluids." Thesis, Bordeaux, 2019. http://www.theses.fr/2019BORD0279/document.
Повний текст джерелаThis manuscript deals with compressible-incompressible transitions arising in partial differential equations of fluid mechanics. We investigate two problems: floating structures and rotating fluids. In the first problem, the introduction of a floating object into water waves enforces a constraint on the fluid and the governing equations turn out to have a compressible-incompressible structure. In the second problem, the motion of geophysical compressible fluids is affected by the Earth's rotation and the study of the high rotation limit shows that the velocity vector field tends to be horizontal and with an incompressibility constraint.Floating structures are a particular example of fluid-structure interaction, in which a partially immersed solid is floating at the fluid surface. This mathematical problem models the motion of wave energy converters in sea water. In particular, we focus on heaving buoys, usually implemented in the near-shore zone, where the shallow water asymptotic models describe accurately the motion of waves. We study the two-dimensional nonlinear shallow water equations in the axisymmetric configuration in the presence of a floating object with vertical side-walls moving only vertically. The assumptions on the solid permit to avoid the free boundary problem associated with the moving contact line between the air, the water and the solid. Hence, in the domain exterior to the solid the fluid equations can be written as an hyperbolic quasilinear initial boundary value problem. This couples with a nonlinear second order ODE derived from Newton's law for the free solid motion. Local in time well-posedness of the coupled system is shown provided some compatibility conditions are satisfied by the initial data in order to generate smooth solutions.Afterwards, we address a particular configuration of this fluid-structure interaction: the return to equilibrium. It consists in releasing a partially immersed solid body into a fluid initially at rest and letting it evolve towards its equilibrium position. A different hydrodynamical model is used. In the exterior domain the equations are linearized but the nonlinear effects are taken into account under the solid. The equation for the solid motion becomes a nonlinear second order integro-differential equation which rigorously justifies the Cummins equation, assumed by engineers to govern the motion of floating objects. Moreover, the equation derived improves the linear approach of Cummins by taking into account the nonlinear effects. The global existence and uniqueness of the solution is shown for small data using the conservation of the energy of the fluid-structure system.In the second part of the manuscript, highly rotating fluids are studied. This mathematical problem models the motion of geophysical flows at large scales affected by the Earth's rotation, such as massive oceanic and atmospheric currents. The motion is also influenced by the gravity, which causes a stratification of the density in compressible fluids. The rotation generates anisotropy in viscous flows and the vertical turbulent viscosity tends to zero in the high rotation limit. Our interest lies in this singular limit problem taking into account gravitational and compressible effects. We study the compressible anisotropic Navier-Stokes-Coriolis equations with gravitational force in the horizontal infinite slab with no-slip boundary condition. Both this condition and the Coriolis force cause the apparition of Ekman layers near the boundary. They are taken into account in the analysis by adding corrector terms which decay in the interior of the domain. In this work well-prepared initial data are considered. A stability result of global weak solutions is shown for power-type pressure laws. The limit dynamics is described by a two-dimensional viscous quasi-geostrophic equation with a damping term that accounts for the boundary layers
Barker, Tobias. "Uniqueness results for viscous incompressible fluids." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:db1b3bb9-a764-406d-a186-5482827d64e8.
Повний текст джерелаKolumban, Jozsef. "Control issues for some fluid-solid models." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLED012/document.
Повний текст джерелаThe analysis of the behavior of a solid or several solids inside a fluid is a long-standing problem, that one can see described in many classical textbooks of hydrodynamics. Its study from a mathematical viewpoint has attracted a growing attention, in particular in the last 15 years. This research project aims at focusing on several aspect of this mathematical analysis, in particular on control and asymptotic issues. A simple model of fluid-solid evolution is that of a single rigid body surrounded by a perfect incompressible fluid. The fluid is modeled by the Euler equations, while the solid evolves according to Newton’s law, and is influenced by the fluid’s pressure on the boundary. The goal of this PhD thesis would consist in various studies in this branch, and in particular would investigate questions of controllability of this system, as well as limit models for thin solids converging to a curve. We would also like to study the Navier-Stokes/solid control system in a similar manner to the previously discussed controllability problem for the Euler/solid system. Another direction for this PhD project is to obtain a limit when the solid concentrates into a curve. Is it possible to obtain a simplified model of a thin object evolving in a perfect fluid, in the same way as simplified models were obtained for objects that are small in all directions? This could open the way to future investigations on derivation of liquid crystal flows as the limit of the system describing the interaction between the fluid and a net of solid tubes when the diameter of the tubes is converging to zero
Helluy, Philippe. "Simulation numérique des écoulements multiphasiques: de la théorie aux applications." Habilitation à diriger des recherches, Université du Sud Toulon Var, 2005. http://tel.archives-ouvertes.fr/tel-00657839.
Повний текст джерелаPerrin, Charlotte. "Modèles hétérogènes en mécanique des fluides : phénomènes de congestion, écoulements granulaires et mouvement collectif." Thesis, Université Grenoble Alpes (ComUE), 2016. http://www.theses.fr/2016GREAM023/document.
Повний текст джерелаThis thesis is dedicated to the description and the mathematical analysis of heterogeneities and congestion phenomena in fluid mechanics models.A rigorous link between soft congestion models, based on the compressible Navier--Stokes equations which take into account short--range repulsive forces between elementary components; and hard congestion models which describe the transitions between free/compressible zones and congested/incompressible zones.We are interested then in the macroscopic modelling of mixtures composed solid particles immersed in a fluid.We provide a first mathematical answer to the question of the transition between the suspension regime dictated by hydrodynamical interactions and the granular regime dictated by the contacts between the solid particles.The method highlights the crucial role played by the memory effects in the granular regime.This approach enables also a new point of view concerning fluids with pressure-dependent viscosities.We finally deal with the microscopic and the macroscopic modelling of vehicular traffic.Original numerical schemes are proposed to robustly reproduce persistent traffic jams
Benjelloun, Saad. "Quelques problèmes d'écoulement multi-fluide : analyse mathématique, modélisation numérique et simulation." Phd thesis, École normale supérieure de Cachan - ENS Cachan, 2012. http://tel.archives-ouvertes.fr/tel-00764374.
Повний текст джерелаNoisette, Florent. "Interactions avec la frontière pour des équations d’évolutions non-linéaires, non-locales." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0356.
Повний текст джерелаThe main results of my PhD thesis are :• Uniqueness of bounded vorticity solution for the 2D euler equation with sources and sinks• Uniqueness of bounded momentum solution of the CH equation with in and out-flow• An algorythm for the simulation of growth of Micro algae• shape derivative of the Dirichlet to neumann operator on a generic bounded domain• regularity of the Dirichlet to Neumann operator on a generic H^s manifold
Doyeux, Vincent. "Modelisation et simulation de systemes multi-fluides. Application aux ecoulements sanguins." Phd thesis, Université de Grenoble, 2014. http://tel.archives-ouvertes.fr/tel-00939930.
Повний текст джерелаMartin, Sébastien. "Modélisation et analyse mathématique de problèmes issus de la mécanique des fluides : applications à la tribologie et aux sciences du vivant." Habilitation à diriger des recherches, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00765580.
Повний текст джерелаWylie, Jonathan James. "Geological fluid mechanics." Thesis, University of Cambridge, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.627211.
Повний текст джерелаDellacherie, Stéphane. "Étude et discrétisation de modèles cinétiques et de modèles fluides à bas nombre de Mach." Habilitation à diriger des recherches, Université Pierre et Marie Curie - Paris VI, 2011. http://tel.archives-ouvertes.fr/tel-00870146.
Повний текст джерелаDuvigneau, Régis. "Conception optimale en mécanique des fluides numérique : approches hiérarchiques, robustes et isogéométriques." Habilitation à diriger des recherches, Université Nice Sophia Antipolis, 2013. http://tel.archives-ouvertes.fr/tel-00904328.
Повний текст джерелаMinelli, Andrea. "Optimisation de forme aéro-acoustique d'un avion d'affaires supersonique." Phd thesis, Université Nice Sophia Antipolis, 2013. http://tel.archives-ouvertes.fr/tel-00938396.
Повний текст джерелаHildyard, M. L. "The fluid mechanics of filters." Thesis, University of Leeds, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.233871.
Повний текст джерелаFigueroa, Leonardo E. "Deterministic simulation of multi-beaded models of dilute polymer solutions." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:4c3414ba-415a-4109-8e98-6c4fa24f9cdc.
Повний текст джерелаGoode, Peter Allan. "Momentum transfer across fluid-fluid interfaces in porous media." Thesis, Heriot-Watt University, 1991. http://hdl.handle.net/10399/847.
Повний текст джерелаCoffey, Christopher J. "The fluid mechanics of emptying boxes." Thesis, Imperial College London, 2006. http://hdl.handle.net/10044/1/11978.
Повний текст джерелаConnick, Owen. "The fluid mechanics of hybrid ventilation." Thesis, Imperial College London, 2013. http://hdl.handle.net/10044/1/39347.
Повний текст джерелаPAULINO, RIVANIA HERMOGENES. "USING MULTIGRID TECHNIQUES ON FLUID MECHANICS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1997. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=19462@1.
Повний текст джерелаEste trabalho trata da solução numérica das equações de Navier-Stokes, na forma vorticidade-função corrente, via método das Diferenças Finitas e técnicas de aceleração baseadas no uso de malhas múltiplas. Embora outras opções tenham sido consideradas, a que melhor funcionou tratou o problema de forma não acoplada: a solução da equação de vorticidade foi obtida pela uso desta aceleração e a solução da equação de função corrente, uma equação puramente elíptica, foi resolvida via método das relaxações sucessivas. O código desenvolvido foi aplicado a diversos problemas, inclusive ao problema da cavidade com tampa móvel, em diversos números de Reynolds, típico no teste de simuladores em Dinâmica dos Fluidos. Foram testados um método clássico (armazenamento da correção) e o método FAZ (Full Approximation Storage). Os resultados obtidos mostram claramente os ganhos computacionais obtidos na formulação escolhida. Expressando em percentual, valores com 80 por cento de ganho foram obtidos se comparados os resultados do método multigrid com o método iterativo básico utilizado (S.O.R.), indicando o potencial do uso desta técnica para problemas mais complexo incluindo aqueles em coordenadas generalizadas.
This works deals with the numerical solution of the Navier-Stokes equations, written in the stream function-vorticity form, by the finite difference method and acceleration techniques using multiple meshes. Although other solution schemes have been investigated, best results were obtained by treating the problem in a non-coupled form: the solution for the vorticity equation was obtained by the multigrid method and the solution of the streamfunction equation, which is purely elliptic, was solved by the S.O.R. (Successive over relaxation method). The computer code was applied to several problems, including the wall driven problem considering a wide range of Reynolds numbers, which is a typical benchmark problem for testing fluid-dynamic simulations. The classical method (storage of the correction) and the methos FAS (Full Approximation Storage) have been tested. The results obtained clearly show that a very efficient computational scheme has been achieved with the multigrid method. For example, when comparing this method with the basic S.O.R. method, relative gains in the order of 80 per cent have been obtained. This indicates that the present technique has potential use in more complicated fluid dynamics problems including those involving generalized coordinates.
Heimerdinger, Daniel John. "Fluid mechanics in a magnetoplasmadynamic thruster." Thesis, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/34030.
Повний текст джерелаWoods, Andrew W. "Geophysical fluid flows." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306472.
Повний текст джерелаBoutounet, Marc. "Modèles asymptotiques pour la dynamique d'un film liquide mince." Phd thesis, Ecole nationale superieure de l'aeronautique et de l'espace, 2011. http://tel.archives-ouvertes.fr/tel-00777981.
Повний текст джерелаBelme, Anca. "Aerodynamique Instationnaire et Methode Adjointe." Phd thesis, Université Nice Sophia Antipolis, 2011. http://tel.archives-ouvertes.fr/tel-00671181.
Повний текст джерелаGart, Sean William. "Interfacial fluid dynamics inspired by natural systems." Diss., Virginia Tech, 2016. http://hdl.handle.net/10919/64459.
Повний текст джерелаPh. D.
Sakatani, Yuho. "Relativistic viscoelastic fluid mechanics and the entropic formulation of continuum mechanics." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/157762.
Повний текст джерелаNugent, Charles Patrick. "Studies of fluid interfaces." Thesis, Queen's University Belfast, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.317468.
Повний текст джерелаMarshall, G. S. "Muiticomponent fluid flow computation." Thesis, Teesside University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384659.
Повний текст джерелаBrereton, Clive. "Fluid mechanics of high velocity fluidised beds." Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/28629.
Повний текст джерелаApplied Science, Faculty of
Chemical and Biological Engineering, Department of
Graduate
Lister, John Ronald. "Density-driven flows in geological fluid mechanics." Thesis, University of Cambridge, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.328831.
Повний текст джерелаArcher, Andrew John. "Statistical mechanics of soft core fluid mixtures." Thesis, University of Bristol, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.288269.
Повний текст джерелаFOINY, DAMIEN. "COUPLED SYSTEMS IN MECHANICS: FLUID STRUCTURE INTERACTIONS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32283@1.
Повний текст джерелаCOORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
PROGRAMA DE EXCELENCIA ACADEMICA
As interações fluido-estrutura são muito comuns na engenharia mecânica e civil porque muitas estruturas, como pontes, plataformas de petróleo, linhas de transmissão ou turbinas eólicas, estão diretamente em contato com um fluido, que pode ser o ar, no caso de vento, ou água, que irá perturbar a estrutura através de ondas. Um papel importante do engenheiro é prevenir a falha da estrutura devido às instabilidades criadas pelas interações fluidoestrutura. Este trabalho apresentará em primeiro lugar todos os conceitos básicos necessários para o estudo de problemas de interação fluido-estrutura. Assim, é realizada uma análise dimensional visando classificar os problemas de fluido-estrutura. A classificação é baseada na velocidade reduzida, e algumas conclusões sobre as conseqüências das interações fluido-estrutura podem ser feitas em termos de estabilidade ou, o que é mais interessante, de instabilidade. De fato, usando modelos simplificados, pode-se mostrar instabilidades estáticas e dinâmicas, induzidas por fluxo, que podem ser críticas para a estrutura. As partes finais do trabalho apresentarão uma estrutura não-linear específica, uma ponte suspensa. Primeiro, a formulação de um modelo simplificado unidimensional é explicada e, em seguida, através de uma discretização por elementos finitos, é realizado um estudo dinâmico. Além disso, algumas conclusões são apresentadas sobre a dinâmica das pontes suspensas. A última parte deste trabalho apresenta um método que foi uma importante fonte de publicação para nós, o método de decomposição regular.
Fluid-structure interactions are very common in mechanical and civil engineering because many structures, as bridges, offshore risers, transmission lines or wind turbines are directly in contact with a fluid, which can be air, which will be source of wind, or water, which will perturb the structure through waves. An important role of the engineer is to prevent structure failure due to instabilities created by the fluid-structure interactions. This work will first present all the basic concepts needed for the study of fluid-structure interaction problems. Thus, a dimensional analysis of those problems is performed and also all the equations governing such cases are presented. Then, thanks to the dimensional analysis made, a classification of problems, namely based on the reduced velocity, can be done and some conclusions concerning the consequences of the fluid-structure interactions can be drawn in terms of stability or, which is more interesting, instability. Indeed, using simplified models one can show static and dynamic flow-induced instabilities that may be critical for the structure. The final parts of the work will present a specific non-linear structure, a suspension bridge. First the formulation of a simplified one-dimensional model is explained and then, through a finite element discretization, a dynamical study is performed. Also, some conclusions are made concerning the dynamic of suspension bridges. The last part of this work presents a method that was an important source of publication for us, the Smooth Decomposition method.
Smith, Andrew. "The fluid mechanics of embryonic nodal cilia." Thesis, University of Birmingham, 2013. http://etheses.bham.ac.uk//id/eprint/4626/.
Повний текст джерелаPegler, Samuel Santeri. "The fluid mechanics of ice-shelf buttressing." Thesis, University of Cambridge, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.608122.
Повний текст джерелаJarvis, Richard Allan. "Crystallization and melting in geological fluid mechanics." Thesis, University of Cambridge, 1991. https://www.repository.cam.ac.uk/handle/1810/275236.
Повний текст джерелаVella, Dominic Joseph Robert. "The fluid mechanics of floating and sinking." Thesis, University of Cambridge, 2007. https://www.repository.cam.ac.uk/handle/1810/221845.
Повний текст джерелаOmnès, Florian. "Geometry optimization applied to incompressible fluid mechanics." Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS278.
Повний текст джерелаThis applied mathematics thesis is dedicated to the modelling and exploration of numerical geometry optimization techniques. The first chapter is dedicated to a geometry optimization algorithm implemented in optiflow, in the case where the boundary to optimize is associated to no-slip conditions. The implementation is online and comes with a manual. It is therefore possible to use it for real-life applications such as pipeline or air conditioning, etc. In the second chapter, I describe a way to model fluid flow through an aquaporine. After making the fluid model precise, the existence of an optimal shape for the dissipated energy criterion is proven. Partial boundary conditions make appear difficulties in the sensitivity analysis of the optimization problem. A specific numerical treatment is presented to overcome this difficulty. Finally, several numerical examples are presented and commented
Hatoum, Hoda. "Fluid Mechanics of Transcatheter Aortic Valve Replacement." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1541781379381912.
Повний текст джерелаSantavicca, Jeffery W. "Fluid mechanics tutorials in GKS supported FORTRAN." Thesis, This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-09122009-040300/.
Повний текст джерелаRathgen, Helmut. "Superhydrophobic surfaces from fluid mechanics to optics." Göttingen Sierke, 2008. http://d-nb.info/991741188/04.
Повний текст джерелаRyan, Barry James Saffman P. G. "Lie-Poisson integrators in Hamiltonian fluid mechanics /." Diss., Pasadena, Calif. : California Institute of Technology, 1993. http://resolver.caltech.edu/CaltechETD:etd-10242005-152235.
Повний текст джерелаMAHMUD, MD READUL. "Fluid Mechanics in Innovative Food Processing Technology." Doctoral thesis, Politecnico di Torino, 2016. http://hdl.handle.net/11583/2641365.
Повний текст джерелаTendani, Adrien. "Effet régularisant, controlabilité et anisotropie en mécanique des fluides." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0214.
Повний текст джерелаIn this thesis, we are mainly interested in the dissipative properties of certain PDEs, particularly from fluid mechanics. The two major issues through which these properties are studied are: Cauchy’s theory (regularizing effect, well-posed character, weak solution and weakstrong uniqueness) and the control theory (exact controllability of trajectories and characterization of achievable states). In this work, several models are studied: the Navier-Stokes-Korteweg system, which describes a compressible fluid with capillarity effects which inducing dispersion; the sub- Riemannian Navier-Stokes system on stratified Lie groups, where the system exhibits anisotropy properties linked to the sub-Riemannian structure; and the semi-linear heat equation, for which the achievable states are studied. The tools used are varied: Fourier analysis (on Euclidean space and Lie groups), Carleman inequalities, anisotropic para-differential calculation, quantification of nilpotent Lie groups and complex analysis
Scotte, Anton, and Emil Zeidlitz. "Investigating the Numerical Applicability of Analogies between Quantum Mechanics and Fluid Mechanics." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-276578.
Повний текст джерелаOswell, J. E. "Fluid loading with mean flow." Thesis, University of Cambridge, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239158.
Повний текст джерелаLiu, Ying. "Measurements of jet velocity in unstratified and stratified fluids." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/19474.
Повний текст джерелаMallone, Kevin Charles. "A more robust wall model for use with the two-equation turbulence model." Thesis, University of Hertfordshire, 1995. http://hdl.handle.net/2299/14149.
Повний текст джерелаPêgo, João Pedro Gomes Moreira. "Advanced fluid mechanics studies of ship propulsion systems." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=983754853.
Повний текст джерелаChikatamarla, Shyam S. "Hierarchy of lattice Boltzmann models for fluid mechanics /." Zürich : ETH, 2008. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=17893.
Повний текст джерелаWake, Amanda Kathleen. "Modeling Fluid Mechanics in Individual Human Carotid Arteries." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7562.
Повний текст джерела