Tesis sobre el tema "Navier-Stokes equation"
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Patni, Kavita. "Damped Navier-Stokes equation in 2D". Thesis, University of Surrey, 2016. http://epubs.surrey.ac.uk/809731/.
Texto completoTryggeson, Henrik. "Analytical vortex solutions to Navier-Stokes equation". Doctoral thesis, Växjö universitet, Matematiska och systemtekniska institutionen, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-1282.
Texto completoVong, Seak Weng. "Two problems on the Navier-Stokes equations and the Boltzmann equation /". access full-text access abstract and table of contents, 2005. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b19885805a.pdf.
Texto completo"Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy" Includes bibliographical references (leaves 72-77)
Hachicha, Imène. "Approximations hyperboliques des équations de Navier-Stokes". Thesis, Evry-Val d'Essonne, 2013. http://www.theses.fr/2013EVRY0015/document.
Texto completoIn this work, we are interested in two hyperbolic approximations of the 2D and 3D Navier-Stokes equations. The first model we consider comes from Cattaneo's hyperbolic perturbation of the heat equation to obtain a finite speed of propagation equation. Brenier, Natalini and Puel studied the same perturbation as a relaxed version of the 2D Euler equations and proved that the solution to this relaxation converges towards the solution to (NS) with smooth data, provided some smallness assumptions. Later, Paicu and Raugel improved their results, extending the theory to the 3D setting and requiring significantly less regular data. Following [BNP] and [PR], we prove global existence and convergence results with quasi-critical regularity assumptions on the initial data. In the second part, we introduce a new hyperbolic model with finite speed of propagation, obtained by penalizing the incompressibility constraint in Cattaneo's perturbation. We prove that the same global existence and convergence results hold for this model as well as for the first one
Breckner, Hannelore. "Approximation and optimal control of the stochastic Navier-Stokes equation". [S.l. : s.n.], 1999. http://deposit.ddb.de/cgi-bin/dokserv?idn=961407050.
Texto completoBible, Stewart Andrew. "STUDY OF THE "POOR MAN'S NAVIER-STOKES" EQUATION TURBULENCE MODEL". UKnowledge, 2003. http://uknowledge.uky.edu/gradschool_theses/310.
Texto completoMosley, Nile Spencer. "Solutions to the Navier-Stokes equation set for spiral pipes". Thesis, Southampton Solent University, 1996. http://ssudl.solent.ac.uk/1269/.
Texto completoMilitaru, Mariana. "Sur les equations de navier-stokes deterministes et stochastiques et sur une equation elliptique". Clermont-Ferrand 2, 1997. http://www.theses.fr/1997CLF21922.
Texto completoLonsdale, G. "Multigrid methods for the solution of the Navier-Stokes equations". Thesis, University of Manchester, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.379162.
Texto completoZhou, Dong. "High-order numerical methods for pressure Poisson equation reformulations of the incompressible Navier-Stokes equations". Diss., Temple University Libraries, 2014. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/295839.
Texto completoPh.D.
Projection methods for the incompressible Navier-Stokes equations (NSE) are efficient, but introduce numerical boundary layers and have limited temporal accuracy due to their fractional step nature. The Pressure Poisson Equation (PPE) reformulations represent a class of methods that replace the incompressibility constraint by a Poisson equation for the pressure, with a suitable choice of the boundary condition so that the incompressibility is maintained. PPE reformulations of the NSE have important advantages: the pressure is no longer implicitly coupled to the velocity, thus can be directly recovered by solving a Poisson equation, and no numerical boundary layers are generated; arbitrary order time-stepping schemes can be used to achieve high order accuracy in time. In this thesis, we focus on numerical approaches of the PPE reformulations, in particular, the Shirokoff-Rosales (SR) PPE reformulation. Interestingly, the electric boundary conditions, i.e., the tangential and divergence boundary conditions, provided for the velocity in the SR PPE reformulation render classical nodal finite elements non-convergent. We propose two alternative methodologies, mixed finite element methods and meshfree finite differences, and demonstrate that these approaches allow for arbitrary order of accuracy both in space and in time.
Temple University--Theses
Marx, Yves. "Etude d'algorithmes pour les equations de navier-stokes compressibles". Nantes, 1987. http://www.theses.fr/1987NANT2039.
Texto completoGurdamar, Emre. "Adaptation Of Turbulence Models To A Navier-stokes Solver". Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606568/index.pdf.
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models, having different correlations, constants and boundary conditions are selected to be adapted into the base solver. The basic equations regarding the base Navier-Stokes solver to which the turbulence models are implemented presented by briefly explaining the outputs obtained from the solver. Numerical work regarding the implementation of turbulence models into the base solver is given in steps of non-dimensionalization, transformation of equations into generalized coordinate system, numerical scheme, discretization, boundary and initial conditions and limitations. These sections of implementation are investigated and presented in detail with providing every steps of work accomplished. Certain trial problems are solved and outputs are compared with experimental data. Solutions for fluid flow over flat plate, in free shear, over cylinder and airfoil are demonstrated. Airfoil validation test cases are analyzed in detail. For three dimensional applications, computation of flow over a wing is accomplished and pressure distributions from certain sections are compared with experimental data.
Okusanya, Tolulope Olawale 1972. "Algebraic multigrid for stabilized finite element discretizations of the Navier Stokes equation". Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/8098.
Texto completoIncludes bibliographical references (p. 141-152).
A multilevel method for the solution of systems of equations generated by stabilized Finite Element discretizations of the Euler and Navier Stokes equations on generalized unstructured grids is described. The method is based on an elemental agglomeration multigrid which produces a hierarchical sequence of coarse subspaces. Linear combinations of the basis functions from a given space form the next subspace and the use of the Galerkin Coarse Grid Approximation (GCA) within an Algebraic Multigrid (AMG) context properly defines the hierarchical sequence. The multigrid coarse spaces constructed by the elemental agglomeration algorithm are based on a semi-coarsening scheme designed to reduce grid anisotropy. The multigrid transfer operators are induced by the graph of the coarse space mesh and proper consideration is given to the boundary conditions for an accurate representation of the coarse space operators. A generalized line implicit relaxation scheme is also described where the lines are constructed to follow the direction of strongest coupling. The solution algorithm is motivated by the decomposition of the system characteristics into acoustic and convective modes. Analysis of the application of elemental agglomeration AMG (AMGe) to stabilized numerical schemes shows that a characteristic length based rescaling of the numerical stabilization is necessary for a consistent multigrid representation.
by Tolulope Olawale Okusanya.
Ph.D.
Aoussou, Jean Philippe. "An iterative pressure-correction method for the unsteady incompressible Navier-Stokes Equation". Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104554.
Texto completoCataloged from PDF version of thesis.
Includes bibliographical references (pages 53-59).
The pressure-correction projection method for the incompressible Navier-Stokes equation is approached as a preconditioned Richardson iterative method for the pressure- Schur complement equation. Typical pressure correction methods perform only one iteration and suffer from a splitting error that results in a spurious numerical boundary layer, and a limited order of convergence in time. We investigate the benefit of performing more than one iteration. We show that that not only performing more iterations attenuates the effects of the splitting error, but also that it can be more computationally efficient than reducing the time step, for the same level of accuracy. We also devise a stopping criterion that helps achieve a desired order of temporal convergence, and implement our method with multi-stage and multi-step time integration schemes. In order to further reduce the computational cost of our iterative method, we combine it with an Aitken acceleration scheme. Our theoretical results are validated and illustrated by numerical test cases for the Stokes and Navier-Stokes equations, using Implicit-Explicit Backwards Difference Formula and Runge-Kutta time integration solvers. The test cases comprises a now classical manufactured solution in the projection method literature and a modified version of a more recently proposed manufactured solution.
by Jean Philippe Aoussou.
S.M.
Quiroga, Gonzáles Cruz Sonia, Juan Limaco, Pedro Gamboa y Rioco K. Barreto. "Weak and periodical solutions of the navier-stokes equation in noncylindrical domains". Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95081.
Texto completoWu, Di. "Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation". Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC194/document.
Texto completoThis thesis deals with equations of fluid dynamics. We consider the following two models: one is the Navier-Stokes equation in R3 with an external force, the other one is the Prandtl equation on the half plane. For the Navier-Stokes system, we focus on the local in time existence, uniqueness, long-time behavior and blowup criterion. For the Prandtl equation on the half-plane, we consider the Gevrey regularity. This thesis consists in four chapters. In the first chapter, we introduce some background on equations of fluid dynamics and recall the physical meaning of the above two models as well as some well-known mathematical results. Next, we state our main results and motivations briefly. At last we mention some open problems. The second chapter is devoted to the Cauchy problem for the Navier-Stokes equation equipped with a small rough external force in R3. We show the local in time existence for this system for any initial data belonging to a critical Besov space with negative regularity. Moreover we obtain three kinds of uniqueness results for the above solutions. Finally, we study the long-time behavior and stability of priori global solutions.The third chapter deals with a blow-up criterion for the Navier-Stokes equation with a time independent external force. We develop a profile decomposition for the forced Navier-Stokes equation. The decomposition enables us to connect the forced and the unforced equations, which provides the blow-up information from the unforced solution to the forced solution. In Chapter 4, we study the Gevrey smoothing effect of the local in time solution to the Prandtl equation in the half plane. It is well-known that the Prandtl boundary layer equation is unstable for general initial data, and is well-posed in Sobolev spaces for monotonic initial data. Under a monotonicity assumption on the tangential velocity of the outflow, we prove Gevrey regularity for the solution to Prandtl equation in the half plane with initial data belonging to some Sobolev space
Badra, Mehdi. "Stabilisation par feedback et approximation des équations de Navier-Stokes". Toulouse 3, 2006. http://www.theses.fr/2006TOU30242.
Texto completoThis thesis deals with some feedback stabilization problems for the Navier-Stokes equations around an unstable stationary solution. The case of a distributed control localized in a part of the geomatrical domain and the case of a boundary control are considered. The control is expressed in function of the velocity field by a linear feedback law. The feedback law is provided by an algebraic Riccati equation which is obtained with the tools of the optimal control theory. The question of approximating such controlled systems is also considered. We first study the approximation of the linearized Navier-Stokes equations (the so-called Oseen equations) for rough boundary and divergence data. General error estimates are given and Galerkin methods are investigated. We also prove a general nonconform approximation theorem for closed-loop systems obtained from the Riccati theory. We apply this theorem to study the approximation of the Oseen closed-loop system
Fok, Chin Man. "Numerical solutions for the Navier-Stokes equations and the Fokker-Planck equations using spectral methods". HKBU Institutional Repository, 2002. http://repository.hkbu.edu.hk/etd_ra/435.
Texto completoBible, Stewart Andrew. "Study of the 'Poor Man's Navier Strokes' equation turbulence model". Lexington, Ky. : [University of Kentucky Libraries], 2003. http://lib.uky.edu/ETD/ukymeen2003t00104/Thesis.pdf.
Texto completoTitle from document title page. Document formatted into pages; contains ix, 110 p. : ill. Includes abstract and vita. Includes bibliographical references (p. 99-109).
Zhu, Douglas Xuedong. "A numerical study of incompressible Navier-Stokes equations in three-dimensional cylindrical coordinates". Connect to this title online, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1118433979.
Texto completoTitle from first page of PDF file. Document formatted into pages; contains xiv, 139 p.; also includes graphics (some col.) Includes bibliographical references (p. 134-139). Available online via OhioLINK's ETD Center
Klak, Aurélien. "MÉTHODES ASYMPTOTIQUES POUR LES ÉQUATIONS DE TYPE HELMHOLTZ OU NAVIER-STOKES". Phd thesis, Université Rennes 1, 2011. http://tel.archives-ouvertes.fr/tel-00606023.
Texto completoZhang, Yunzh. "Contribution à la résolution des équations de Navier-Stokes par la méthode des équations intégrales". Palaiseau, Ecole polytechnique, 2003. http://www.theses.fr/2003EPXX0006.
Texto completoLaurén, Fredrik. "Analysis of the energy exchange between atmosphere and ground using the compressible Navier-Stokes equations and the heat equation". Thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-304006.
Texto completoHider, Z. E. "Modelling solute and particulate pollution dispersal from road vehicles". Thesis, University of Nottingham, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243400.
Texto completoRahou, Abdelhafid. "Étude du mélange dans un réacteur en T par chimiluminescence". Vandoeuvre-les-Nancy, INPL, 1994. http://www.theses.fr/1994INPL009N.
Texto completoDomínguez, Rodríguez Jorge Luis. "Um problema relacionado à equação de Stokes em domínios de Lipschitz". reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2010. http://hdl.handle.net/10183/26858.
Texto completoAn auxiliary problem crucial to the analysis of the compressible Stokes problem is studied by means of the technique of double layer in Lipschitz regions through a method first used by Verchota and subsequently extended to the parabolic case by Brown and Shen. In this way through the use and calculation of the boundary jump condition it is possible to establish the existence and unicity of the solution in appropriate function spaces via the study of boundary layer potentials.
Shringi, Vishwas. "Implementation of two-equation turbulence models in U²NCLE". Master's thesis, Mississippi State : Mississippi State University, 2001. http://library.msstate.edu/etd/show.asp?etd=etd-10292001-080950.
Texto completoWakrim, Mohamed. "Analyse numérique des équations de Navier-Stokes incompressibles et simulations dans des domaines axisymétriques". Saint-Etienne, 1993. http://www.theses.fr/1993STET4015.
Texto completoKeblikas, Vaidas. "Time periodic problems for Navier-Stokes equations in domains with cylindrical outlets to infinity". Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2008. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2008~D_20081119_134254-90799.
Texto completoDisertacijoje nagrinėjami Navjė-Stokso lygčių periodiniai laiko atžvilgiu uždaviniai srityse su cilindriniais išėjimais į begalybę. Pagrindiniai tyrimo objektai yra taip vadinami Puazelio sprendiniai tiesiame cilindre ir Stokso, bei Navjė-Stokso lygčių sistemos cilindrų sistemoje.
Jawahar, P. "A High-Resolution Procedure For Euler And Navier-Stokes Computations On Unstructured Grids". Thesis, Indian Institute of Science, 2000. https://etd.iisc.ac.in/handle/2005/226.
Texto completoJawahar, P. "A High-Resolution Procedure For Euler And Navier-Stokes Computations On Unstructured Grids". Thesis, Indian Institute of Science, 2000. http://hdl.handle.net/2005/226.
Texto completoDe, Santis Dante. "Development of a high-order residual distribution method for Navier-Stokes and RANS equations". Phd thesis, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-00946171.
Texto completoSong, Xi. "Reactive imcompressible flow with interfaces : macroscopic models and applications to self-healing composite materials". Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0149/document.
Texto completoIn this work, we are interested in the ceramic matrix composite materials(CMCs) who will be used to integrate the combustion chambers of future civil aeronautical engines. To face extreme conditions, these materials possess the peculiarity to auto-protect itself towards the oxidation by the formation of an oxide passivate which limits the distribution of the oxidizing species within the matrix cracks. We model the flow of an oxide in a crack by the Navier-Stokes equation, then put them under an asymptotic analysis in order to get two types of asymptotic models : models of Saint-Venant (Shallow water model) and lubrication models. Next we are interested in looking for the existence of weak solution to the one-dimensional approximated lubrication equation of order 4 obtained before. Finally we talk about the limit between the Saint-Venant equations and the lubrication equation
Aldbaissy, Rim. "Discrétisation du problème de couplage instationnaire des équations de Navier-Stokes avec l'équation de la chaleur". Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS013.
Texto completoThe analytical solutions of the majority of partial differential equations are difficult to calculate, hence, numerical methods are employed. This work is divided into two parts. First, we study the time dependent Navier-Stokes equations coupled with the heat equation with nonlinear viscosity depending on the temperature known as the Boussinesq (buoyancy) model . Then, numerical experiments are presented to confirm the theoretical accuracy of the discretization using the Freefem++ software. In the first part, we propose first order numerical schemes based on the finite element method for the space discretization and the semi-implicit Euler method for the time discretization. In order to gain time and order of convergence, we study a second order scheme in time and space by using respectively the second order BDF method "Backward Differentiation Formula" and the finite element method. An optimal a priori error estimate is then derived for each numerical scheme. Finally, numerical experiments are presented to confirm the theoretical results. The second part is dedicated to the modeling of the thermal instability that appears from time to time while printing using a 3D printer. Our purpose is to build a reliable scheme for the 3D simulation. For this reason, we propose a trivial parallel algorithm based on the domain decomposition method. The numerical results show that this method is not efficient in terms of scalability. Therefore, it is important to use a one-level preconditioning method "ORAS". When using a large number of subdomains, the numerical test shows a slow convergence. In addition, we noticed that the iteration number depends on the physical model. A coarse space correction is required to obtain a better convergence and to be able to model in three dimensions
Ndiaye, Moctar. "Stabilisation et simulation de modèles d'interaction fluide-structure". Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30323/document.
Texto completoThe aim of this thesis is to study the stabilization of fluid-structure interaction models by finite dimensional controls acting at the boundary of the fluid domain. The fluid flow is described by the incompressible Navier-Stokes equations while the displacement of the structure, localized at the boundary of the fluid domain, satisfies a damped Euler-Bernoulli beam equation. First, we study the case where the control is a Dirichlet boundary condition in the fluid equations (control by suction/blowing). We obtain local feedback stabilization results around an unstable stationary solution of this system. Chapters 2 and 3 are devoted to the case where control is a force applied to the structure (control by boundary deformation). We consider, in chapter 2, a simplified model where the Euler-Bernoulli equation for the structure is replaced by a system of finite dimension. We construct feedback control laws for the infinite dimensional systems, or for their semi-discrete approximations, able to stabilize the linearized systems with a prescribed exponential decay rate, and locally the nonlinear systems. We present some numerical results showing the efficiency of the feedback laws
Boussetouan, Imane. "Etudes théorique et numérique de quelques problèmes d'écoulements et de chaleur hyperbolique". Thesis, Saint-Etienne, 2012. http://www.theses.fr/2012STET4024.
Texto completoThe main objective of this thesis is to study nonstationary flows of incompressible Newtonian and non isothermal fluids. The problem is described by the laws of conservation of mass, momentum and energy. We consider the coupling between the Navier-Stokes system and the hyperbolic heat equation (the result of combination between the law of conservation of energy and the Cattaneo’s law). This one is a modification of the commonly used Fourier's law, it overcomes "the heat paradox" and gives a more accurate description of heat propagation. The coupled system is an hyperbolic-parabolic problem where the viscosity depends on the temperature but the thermal capacity and the dissipative term depend on the velocity. To obtain an existence result for the coupled system, we first prove the existence and uniqueness of the solution of the hyperbolic problem then we introduce a time discretization and we study the convergence of the approximate solutions to those of the original problem. In the second chapter, we study the existence and uniqueness of the solution of Navier-Stokes system with Tresca or Coulomb boundary conditions in dimension 2 and 3. In the third chapter, we propose a time discretization of the flow problem in the case of Tresca boundary conditions and we establish the convergence of the approximate solutions. The last chapter is devoted to the study of the coupled problem in the case of Tresca free boundary conditions. The existence of a solution is obtained by a theoretical argument (fixed-point theorem) in dimension 2 and also by a method of time discretization leading, on each time subinterval, to a decoupled problem for the velocity and pressure of a hand and the temperature of the other hand
Hanss, Grégoire. "Schémas numériques compacts basés sur le résidu en maillage irrégulier pour les équations de Navier-Stokes en compressible". Paris, ENSAM, 2002. http://www.theses.fr/2002ENAM0013.
Texto completoThis work is devoted to an approach which makes use of the residual vanishing at steady-state tobuild 2,d or 3d_order space-accurate numerical schemes for the Euler and Navier-Stokes équations, which aresùnple, compact, robust and efficient. In the first part of this memoir, the design principles of this approach are recalled in a fuiite-differenceframework and the 3d order residual-based scheme is proved to compare very favourably with a conventional 3dorder approach on a set of model problems. Next, the residual-based scheme is extended in a rigorous way onirregular Cartesian grids so as to preserve its accuracy order. In the second part of this study, we propose a fmite-volume extension of the residual-based scheme thatguarantees, in a simple way, 2 ,d order accuracy on highly irregular grids. This accuracy-preserving extension ismade possible thanks to the compactness of the residual-based dissipation. The very good accuracy of this FVversion is demonstrated for inviscid and viscous flows over airfoils and a wing. In the last part of this work, a residual-based scheme is developed for unsteady flow problems within a dual-time framework. In this case, the residual used to build the scheme contains the derivative with respect to the physicaltime and vanishes at steady-state on a fictitious time. A 2d order time-accurate and 3d order space-accurate residual-based scheme is then devised, which yields better solution than a conventional directional scheme both for a model advection problem and a complex unsteady viscous flow. The implementation of a new organisation is a way to answer the pressure that an external environment firm may experience. We decide to manage this work as a project. The mainpoint of this project will be a new organisation design and implementation. We link design phase with an anticipated risk project management approach. In order to change we decide to propose an original approach which is an alternation between breaking change and continuous improvement change. We also identify the need for helping change adaptation people. All of our proposals are born of a work in a pharmaceutical firm. This research leads to the creation of a model based on three processes: project management, strategic management and people management. In order to answer the need for controlling theses processes, we propose a control method. This method is composed by five phases created from our model and by eight principles coming from our fieldwork
Artale, Valeria. "Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations". Doctoral thesis, Università di Catania, 2012. http://hdl.handle.net/10761/1106.
Texto completoARGENZIANO, Andrea. "The inviscid limit and Prandtl's asymptotic expansion for incompressible flows in the half space". Doctoral thesis, Università degli Studi di Palermo, 2022. https://hdl.handle.net/10447/554200.
Texto completoNobili, Camilla. "Rayleigh-Bénard convection: bounds on the Nusselt number". Doctoral thesis, Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-202241.
Texto completoMcKinley, Scott Alister. "An existence result from the theory of fluctuating hydrodynamics of polymers in dilute solution". Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1149020682.
Texto completoFeiz, Homayoon. "LES of Multiple Jets in Cross-Flow Using a Coupled Lattice Boltzmann-Navier-Stokes Solver". Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/14040.
Texto completoCasanova, Jean-Jérôme. "Analyse et contrôle de systèmes fluide-structure avec conditions limites sur la pression". Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30073/document.
Texto completoIn this thesis we study the well-posedness (existence, uniqueness, regularity) and the control of fluid-structure system with boundary conditions involving the pressure. The fluid part of the system is described by the incompressible Navier- Stokes equations in a 2D rectangular type domain coupled with a 1D damped beam equation localised on a boundary part of the fluid domain. In Chapter 2 we investigate the existence of strong solutions for this model. We prove optimal regularity results for the Stokes system with mixed boundary conditions in non-regular domains. These results are then used to obtain the local-in-time existence and uniqueness of strong solutions for the fluid-structure system without smallness assumption on the initial data. Chapter 3 uses the previous analysis in the framework of periodic (in time) solutions. We develop a criteria for the existence of periodic solutions for an abstract parabolic system. This criteria is then used on the fluid- structure system to prove the existence of a periodic and regular in time strict solution, provided that the periodic source terms are small enough. In Chapter 4 we study the stabilisation of the fluid-structure system in a neighbourhood of a periodic solution. The underlying linear system involves an operator A(t) with a domain which depends on time. We prove the existence of a parabolic evolution operator for this linear system. This operator is then used to apply the Floquet theory and to describe the asymptotic behaviour of the system. We adapt the known results for an operator with constant domain to the case of operators with non constant domain. We obtain the exponential stabilisation of the linear system with control acting on a part of the boundary of the fluid domain
Thevenet, Laetitia. "Lois de feedback pour le contrôle d'écoulements". Toulouse 3, 2009. http://thesesups.ups-tlse.fr/730/.
Texto completoThis thesis is dedicated to the stabilization of the two-dimensional Navier-Stokes (NS) equations about an unstable stationary solution by a boundary feedback control. We first prove the stabilization of a Burgers equation using a nonlinear feedback law, and we apply this theory to the nonlinear NS equations. In a second part, we show that a finite dimensional control stabilizing the unstable eigenspace of the linearized equation, also stabilizes locally the nonlinear system. We present some numerical results in the case of the open cavity. The fifth chapter is devoted to the approximation, for the control problem, of the incompressibility condition by a penalty method. In a third part, we are interested in the robust stabilization of the NS equations. We suppose that the velocity on a part of the boundary is perturbated. By solving a min-max problem of optimization, we deduce a robust feedback law stabilizing locally the NS equations. Finally, we study the coupling between the estimation and the control in the case of a twodimensional Burgers equation, with boundary observation and control. We obtain the local stabilization of the two-dimensional Burgers equation, for this kind of partial observation
Velkur, Chetan Babu. "Initial assessment of the "compressible poor man's Navier-Stokes (CPMNS) equation" for subgrid-scale models in large-eddy simulation". Lexington, Ky. : [University of Kentucky Libraries], 2006. http://lib.uky.edu/ETD/ukymeen2006t00502/Cbvelkur.pdf.
Texto completoTitle from document title page (viewed on January 5, 2007). Document formatted into pages; contains: x, 128 p. : ill. (some col.). Includes abstract and vita. Includes bibliographical references (p. 116-127).
Grimm, Alexander Rudolf. "Taming of Complex Dynamical Systems". Thesis, Virginia Tech, 2013. http://hdl.handle.net/10919/24775.
Texto completoMaster of Science
Zemmouri, Ahmed. "Application de la théorie des groupes de Lie pour la détermination de solutions analytiques des équations de Navier-Stokés et de l'équation d'énergie associée pour un écoulement incompressible bidimensionnel". Vandoeuvre-les-Nancy, INPL, 1990. http://www.theses.fr/1990INPL089N.
Texto completoNataf, Frédéric. "Approximation paraxiale pour les fluides incompressibles : etude mathematique et numerique". Palaiseau, Ecole polytechnique, 1989. http://www.theses.fr/1989EPXXX001.
Texto completoBui, Dung. "Modèles d'ordre réduit pour les problèmes aux dérivées partielles paramétrés : approche couplée POD-ISAT et chainage temporel par algorithme pararéel". Thesis, Châtenay-Malabry, Ecole centrale de Paris, 2014. http://www.theses.fr/2014ECAP0021/document.
Texto completoIn this thesis, an efficient Reduced Order Modeling (ROM) technique with control of accuracy for parameterized Finite Element solutions is proposed. The ROM methodology is usually necessary to drastically reduce the computational time and allow for tasks like parameter analysis, system performance assessment (aircraft, complex process, etc.). In this thesis, a ROM using Proper Orthogonal Decomposition (POD) will be used to build local models. The “model” will be considered as a database of simulation results store and retrieve the database is studied by extending the algorithm In Situ Adaptive Tabulation (ISAT) originally proposed by Pope (1997). Depending on the use and the accuracy requirements, the database is enriched in situ (i.e. online) by call of the fine (reference) model and construction of a local model with an accuracy region in the parameter space. Once the trust regions cover the whole parameter domain, the computational cost of a solution becomes inexpensive. The coupled POD-ISAT, here proposed, provides a promising effective ROM approach for parametric finite element model. POD is used for the low-order representation of the spatial fields and ISAT for the local representation of the solution in the design parameter space. This method is tested on a Engineering case of stationary air flow in an aircraft cabin. This is a coupled fluid-thermal problem depending on several design parameters (inflow temperature, inflow velocity, fuselage thermal conductivity, etc.). For evolution problems, we explore the use of time-parallel strategies, namely the parareal algorithm originally proposed by Lions, Maday and Turinici (2001). A quasi-Newton variant of the algorithm called Broyden-parareal algorithm is here proposed. It is applied to the computation of the gas diffusion in an aircraft cabin. This thesis is part of the project CSDL (Complex System Design Lab) funded by FUI (Fond Unique Interministériel) aimed at providing a software platform for multidisciplinary design of complex systems
Finnie, John I. "An Application of the Finite Element Method and Two Equation (K and E) Turbulence Model to Two and Three Dimensional Fluid Flow Problems Governed by the Navier-Stokes Equations". DigitalCommons@USU, 1987. https://digitalcommons.usu.edu/etd/7350.
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