Relevant bibliographies by topics / Fluid dynamical problems / Dissertations / Theses
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Dissertations / Theses on the topic 'Fluid dynamical problems'

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Published: 4 June 2021
Last updated: 5 February 2022

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1

Zhen, Cui. "A study of three fluid dynamical problems." Thesis, University of Exeter, 2014. http://hdl.handle.net/10871/15119.

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In this thesis, three fluid dynamical problems are studied. First in chapter 2 we investigate, via both theoretical and experimental methods, the swimming motion of a magnetotactic bacterium having the shape of a prolate spheroid in a viscous liquid under the influence of an imposed magnetic field. The emphasis of the study is placed on how the shape of the non-spherical magnetotactic bacterium, marked by the size of its eccentricity, affects the pattern of its swimming motion. It is revealed that the pattern/speed of a swimming spheroidal magnetotactic bacterium is highly sensitive not only t
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2

Shaw, G. J. "Multigrid methods in fluid dynamics." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.371582.

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3

Zhao, Kun. "Initial-boundary value problems in fluid dynamics modeling." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31778.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.<br>Committee Chair: Pan, Ronghua; Committee Member: Chow, Shui-Nee; Committee Member: Dieci, Luca; Committee Member: Gangbo, Wilfrid; Committee Member: Yeung, Pui-Kuen. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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4

Parolini, Nicola. "Computational fluid dynamics for naval engineering problems /." [S.l.] : [s.n.], 2004. http://library.epfl.ch/theses/?nr=3138.

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5

Park, Jungho. "Bifurcation and stability problems in fluid dynamics." [Bloomington, Ind.] : Indiana University, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3274924.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2007.<br>Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4529. Adviser: Shouhong Wang. Title from dissertation home page (viewed Apr. 22, 2008).
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6

Wright, Nigel George. "Multigrid solutions of elliptic fluid flow problems." Thesis, University of Leeds, 1988. http://etheses.whiterose.ac.uk/446/.

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An efficient FAS muldgrid solution strategy is presented for the accurate and economic simulation of convection dominated flows. The use of a high-order approximation to the convective transport terms found in the governing equations of motion has been investigated in conjunction with an unsegregated smoothing technique. Results are presented for a sequence of problems of increasing complexity requiring that careful attention be directed toward; the proper treatment of different types of boundary condition. The classical two-dimensional problem of flow in a lid-driven cavity is investigated in
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7

Noever, David Anthony. "Problems in gas dynamics and biological fluids." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.317799.

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8

Al-Wali, Azzam Ahmad. "Explicit alternating direction methods for problems in fluid dynamics." Thesis, Loughborough University, 1994. https://dspace.lboro.ac.uk/2134/6840.

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Recently an iterative method was formulated employing a new splitting strategy for the solution of tridiagonal systems of difference equations. The method was successful in solving the systems of equations arising from one dimensional initial boundary value problems, and a theoretical analysis for proving the convergence of the method for systems whose constituent matrices are positive definite was presented by Evans and Sahimi [22]. The method was known as the Alternating Group Explicit (AGE) method and is referred to as AGE-1D. The explicit nature of the method meant that its implementation
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9

Mora, Acosta Josue. "Numerical algorithms for three dimensional computational fluid dynamic problems." Doctoral thesis, Universitat Politècnica de Catalunya, 2001. http://hdl.handle.net/10803/6685.

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The target of this work is to contribute to the enhancement of numerical methods for the simulation of complex thermal systems. Frequently, the factor that limits the accuracy of the simulations is the computing power: accurate simulations of complex devices require fine three-dimensional discretizations and the solution of large linear equation systems.<br/>Their efficient solution is one of the central aspects of this work. Low-cost parallel computers, for instance, PC clusters, are used to do so. The main bottle-neck of these computers is the notwork, that is too slow compared with their fl
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10

Fabritius, Björn. "Application of genetic algorithms to problems in computational fluid dynamics." Thesis, University of Exeter, 2014. http://hdl.handle.net/10871/15236.

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In this thesis a methodology is presented to optimise non–linear mathematical models in numerical engineering applications. The method is based on biological evolution and uses known concepts of genetic algorithms and evolutionary compu- tation. The working principle is explained in detail, the implementation is outlined and alternative approaches are mentioned. The optimisation is then tested on a series of benchmark cases to prove its validity. It is then applied to two different types of problems in computational engineering. The first application is the mathematical modeling of turbulence.
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11

Yang, Guodong. "Cartesian mesh techniques for moving body problems and shock wave modelling." Thesis, Manchester Metropolitan University, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.360893.

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12

Kunda, Wilkinson. "Two phase problems and two phase flow." Thesis, University of Hull, 1986. http://hydra.hull.ac.uk/resources/hull:5902.

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In section 1 of this thesis a two-dimensional mathematical model is used to investigate the circulation in a gas-bubble agitation system of a cylindrical vessel for the case of an orifice located at the centre of the base. The two-phase (liquid/gas) region is assumed to be confined to a cone-shaped region and is investigated using Wallis' Drift Flux Model. In the single-phase (liquid) region the turbulent Navier-Stokes equations, written in terms of the stream function, are used for the mathematical model. The analysis in the two-phase region yields the boundary conditions on the two-phase/sin
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13

Reid, Cynthia 1958. "A class of solutions in non-homogeneous fluid dynamics obtained by the Riemann-invariant method /." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66007.

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14

Kim, Tae Eun. "Quasi-solution Approach to Nonlinear Integro-differential Equations: Applications to 2-D Vortex Patch Problems." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1499793039477532.

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15

Harris, Paul John. "The numerical solution of the dynamic fluid-structure interaction problem." Thesis, University of Plymouth, 1989. http://hdl.handle.net/10026.1/2055.

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In this thesis we consider the problem of the dynamic fluid-structure interaction between a finite elastic structure and the acoustic field in an unbounded fluid-filled exterior domain. We formulate the exterior acoustic problem as an integral equation over the structure surface. However, the classical boundary integral equation formulations of this problem do not have unique solutions at certain characteristic frequencies (which depend on the surface) and it is necessary to employ modified boundary integral equation formulations which are valid for all frequencies. The modified integral equat
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16

Chemama, Michael Leopold. "Flames, Splashes and Microdroplets: A Mathematical Approach to Three Fluid Dynamics Problems." Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:14226101.

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Three different problems in fluid mechanics are presented in this thesis. The first one deals with the mechanism behind the extinction of a flame by an alternating electric field. A simple model for the interaction between the field and the ions produced by the reaction is presented, which agrees quantitatively with the experiments. It also indicates that charges diffusion is responsible for the non-zero time averaged force on the flame. The second problem focuses on the role of viscosity during the splash of liquid droplets. We show that contrary to what was done in previous theoretical studi
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17

Brandén, Henrik. "Convergence Acceleration for Flow Problems." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-576.

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Convergence acceleration techniques for the iterative solution of system of equations arising in the discretisations of compressible flow problems governed by the steady state Euler or Navier-Stokes equations is considered. The system of PDE is discretised using a finite difference or finite volume method yielding a large sparse system of equations. A solution is computed by integrating the corresponding time dependent problem in time until steady state is reached. A convergence acceleration technique based on semicirculant approximations is applied. For scalar model problems, it is proved tha
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18

Jordan, Donald Alfred. "Application of the continuous wavelet transform to science and engineering problems : fluid dynamics case studies /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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19

Larrañaga, Maialen. "Dynamic control of stochastic and fluid resource-sharing systems." Thesis, Toulouse, INPT, 2015. http://www.theses.fr/2015INPT0075/document.

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Dans cette thèse, nous étudions le contrôle dynamique des systèmes de partage de ressources qui se posent dans divers domaines : réseaux de gestion des stocks, services de santé, réseaux de communication, etc. Nous visons à allouer efficacement les ressources disponibles entre des projets concurrents, selon certains critères de performance. Ce type de problème est de nature stochastique et peut être très complexe à résoudre. Nous nous concentrons donc sur le développement de méthodes heuristiques performantes. Dans la partie I, nous nous plaçons dans le cadre des Restless Bandit Problems, qui
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20

Pathak, Saurabh. "Quantification Of Internal Droplet Motion Using Particle Image velocimetry For Various Engineering Problem." University of Akron / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=akron1619458988178314.

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21

Gloth, Oliver. "An Object-Oriented Finite Volume Framework and its Application to Fluid Dynamics Problems." Gerhard-Mercator-Universitaet Duisburg, 2003. http://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-07282003-103524/.

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This work describes the development of a framework for numerical simulation software, using the finite volume method. A major guideline has been flexibility. The framework is written in C++, making strong use of its object-oriented capabilities. Outlined are the benefits, as well as the pitfalls related to object-oriented programming, if used for numerical simulations. The text explains that flexibility has not only been tried to achieve in terms of software design, but also with respect to the numerical approaches used. The field of application in the scope of this work is computational fluid
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22

Schrecker, Matthew. "Hyperbolic problems in fluids and relativity." Thesis, University of Oxford, 2018. http://ora.ox.ac.uk/objects/uuid:2dec2eb9-4253-4625-a071-0c19d0c1f76d.

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In this thesis, we present a collection of newly obtained results concerning the existence of vanishing viscosity solutions to the one-dimensional compressible Euler equations of gas dynamics, with and without geometric structure. We demonstrate the existence of such vanishing viscosity solutions, which we show to be entropy solutions, to the transonic nozzle problem and spherically symmetric Euler equations in Chapter 4, in both cases under the simple and natural assumption of relative finite-energy. In Chapter 5, we show that the viscous solutions of the one-dimensional compressible Navier-S
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23

Molina, Nicolás. "Quelques problèmes de contrôle et d’analyse pour des équations de la dynamique des fluides." Thesis, Université Paris sciences et lettres, 2020. http://www.theses.fr/2020UPSLD031.

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Dans cette thèse, on étudie des problèmes de contrôle et des problèmes de Cauchy dans la mécanique des milieux continus, en particulier sur la mécanique de fluides. On montre un résultat de contrôlabilité pour l'équation de Navier-Stokes non isentropique, où la pression dépend de la température et de la densité, un résultat de stabilisation avec un contrôle en boucle fermée dans la densité. Finalement, on montre un résultat d’existence pour le problème de Cauchy pour un solide élastique plongé dans un fluide Eulerien<br>In this thesis we study control related problems and Cauchy problems that
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24

Vong, 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.

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Thesis (Ph.D.)--City University of Hong Kong, 2005.<br>"Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy" Includes bibliographical references (leaves 72-77)
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25

Lundvall, Johan. "Data Assimilation in Fluid Dynamics using Adjoint Optimization." Doctoral thesis, Linköping : Matematiska institutionen, Linköpings universitet, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-9684.

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26

Raju, Anil Roy Christopher J. "Discretization error estimation using the method of nearby problems one-dimensional cases/." Auburn, Ala., 2005. http://repo.lib.auburn.edu/2005%20Fall/Thesis/RAJU_ANIL_41.pdf.

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27

Yang, Zhiyun. "A Cartesian grid method for elliptic boundary value problems in irregular regions /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/6759.

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28

FILHO, GUENTHER CARLOS KRIEGER. "APPLICATION OF SELF-ADAPTIVE MESHES METHODS TO PROBLEMS IN FLUID DYNAMICS: A COMPARATIVE STUDY." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1991. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33253@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Este trabalho aplica três métodos básicos de malhas auto-adaptativas em problemas de mecânica dos fluidos e transmissão de calor. Um método unidimensional é aplicado a problemas descritos pela equação generalizada de Burgers. Um método bidimensional é aplicado ao problema da. cavidade com tampa móvel para números de Reynolds Iguais a 100, 500 e 1000 e ao problema de convecção natural em uma cavidade para números de Rayleigh iguais a 10 elevado a 3,10 elevado a 4,10 elevado a 5 e 10 elevado a 6. Um terceiro método, fundamentado em
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29

Suliman, Ridhwaan. "A quadratic non-linear elasticity formulation for the dynamic behaviour of fluid-loaded structures." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/277824.

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This work details the development and implementation of a numerical model capable of solving strongly-coupled fluid-structure interaction problems involving long thin structures, which are common multi-physics problems encountered in many applications. In most fluid-structure interaction problems the deformation of the slender elastic bodies is significant and cannot be described by a purely linear analysis. We present a new formulation to model these larger displacements. By extending the standard modal decomposition technique for linear structural analysis, the governing equations and bounda
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30

Bozkaya, Canan. "Boundary Element Method Solution Of Initial And Boundary Value Problems In Fluid Dynamics And Magnetohydrodynamics." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609552/index.pdf.

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In this thesis, the two-dimensional initial and boundary value problems invol-ving convection and diffusion terms are solved using the boundary element method (BEM). The fundamental solution of steady magnetohydrodynamic (MHD) flow equations in the original coupled form which are convection-diffusion type is established in order to apply the BEM directly to these coupled equations with the most general form of wall conductivities. Thus, the solutions of MHD flow in rectangular ducts and in infinite regions with mixed boundary conditions are obtained for high values of Hartmann number, M. For
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31

Gomes, Henrique Campelo. "Método dos elementos finitos com fronteiras imersas aplicado a problemas de dinâmica dos fluidos e interação fluido-estrutura." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/3/3144/tde-26122013-150059/.

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Este trabalho pode ser dividido em três etapas principais. Inicialmente é proposta uma formulação estabilizada do método dos elementos finitos (MEF) para solução de problemas de escoamento incompressível governado pela equação de Navier-Stokes. Esta formulação foi implementada em um código computacional e testada através de diversos exemplos numéricos. Alguns elementos finitos com diferentes pares de função de interpolação da velocidade e pressão, consagrados na literatura, e também elementos finitos menos populares, foram investigados e seus resultados e performance comparados. A segunda etap
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Yoon, Sung Joon. "Numerical Navier-Stokes solutions of supersonic slot injection problems." Diss., Virginia Polytechnic Institute and State University, 1988. http://hdl.handle.net/10919/54473.

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Supersonic slot injection problems were studied by a finite volume method. The numerical technique used is the upwind method of Roe’s flux difference splitting (FDS) with vertical line Gauss-Seidel relaxation applied to the thin layer Navier-Stokes equations. To test the accuracy of the numerical methods without the complications and uncertainties of turbulence modeling, two sample cases were chosen with laminar flows. The sample problems were the compressible laminar boundary layer flow over a flat plate and the laminar boundary layer - shock interaction problem. For these problems, both the
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33

Alsoy-akgun, Nagehan. "The Dual Reciprocity Boundary Element Solutions Of Helmholtz-type Equations In Fluid Dynamics." Phd thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615728/index.pdf.

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In this thesis, the two-dimensional, unsteady, laminar and incompressible fluid flow problems governed by partial differential equations are solved by using dual reciprocity boundary element method (DRBEM). First, the governing equations are transformed to the inhomogeneous modified Helmholtz equations, and then the fundamental solution of modified Helmholtz equation is used for obtaining boundary element method (BEM) formulation. Thus, all the terms in the equation except the modified Helmholtz operator are considered as inhomogeneity. All the inhomogeneity terms are approximated by using sui
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Alsoy-akgun, Nagehan. "The Dual Reciprocity Boundary Element Solution Of Helmholtz-type Equations In Fluid Dynamics." Phd thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615729/index.pdf.

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In this thesis, the two-dimensional, unsteady, laminar and incompressible fluid flow problems governed by partial differential equations are solved by using dual reciprocity boundary element method (DRBEM). First, the governing equations are transformed to the inhomogeneous modified Helmholtz equations, and then the fundamental solution of modified Helmholtz equation is used for obtaining boundary element method (BEM) formulation. Thus, all the terms in the equation except the modified Helmholtz operator are considered as inhomogeneity. All the inhomogeneity terms are approximated by using sui
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35

Verdicchio, John Anthony. "The validation and coupling of computational fluid dynamics and finite element codes for solving 'industrial problems'." Thesis, University of Sussex, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.270320.

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A modern gas turbine must be designed quicker, be more reliable, produce less emissions than its predecessors and yet the engine manufacturer must still make a profit. In order to sell their engines to the airlines, the manufacturer must show that their engines meet strict safety and reliability requirements. The creation of finite element models used for predicting temperatures and displacements of the engine component's is part of this design cycle. This thesis addresses the use of computational fluid dynamics (CFD) as a tool that can help in the prediction of iiietal temperatures for use wi
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36

Radwan, Samir F. "Numerical solution of the three-dimensional boundary layer equations in the inverse mode using finite differences." Diss., Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/12029.

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37

Webster, Robert Samuel. "A numerical study of the conjugate conduction-convection heat transfer problem." Diss., Mississippi State : Mississippi State University, 2001. http://library.msstate.edu/etd/show.asp?etd=etd-04102001-144805.

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38

Furbo, Eric. "Evaluation of RANS turbulence models for flow problems with signigicant impact of boundary layers." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-138757.

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This master’s thesis was provided by the Swedish Defence Research Agency, FOI. The task is to test several RANS (Reynolds-averaged Navier-Stokes) models on two different case geometries and compare the results with LES and experimental data. The first is two dimensional, constructed for flow separation at a sharp edge. The second is three dimensional and flow separation occurs at a smooth surface. The models tested are implemented in the open source CFD (Computational Fluid Dynamics) program, OpenFOAM. OpenFOAM uses the finite volume method and the SIMPLE algorithm as solution procedure. The ma
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Feldman, Jonathan. "Dynamic refinement and boundary contact forces in smoothed particle hydrodynamics with applications in fluid flow problems." Thesis, Swansea University, 2006. https://cronfa.swan.ac.uk/Record/cronfa42459.

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Smoothed Particle Hydrodynamics (SPH) is a relatively new, simple and effective numerical method that can be used to solve a variety of difficult problems in computational mechanics. It is a fully Lagrangian meshless method ideal for solving large deformation problems such as complex free surface fluid flows. This research was carried out with the support of BAE Systems and falls into two distinct areas. Firstly to investigate new methods for treating fixed boundaries and secondly to investigate refinement algorithms which allow for both sparsely and densely populated regions of particles with
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Zarroug, Moundheur. "Asymptotic methods applied to some oceanography-related problems." Doctoral thesis, Stockholm : Department of Meteorology, Stockholm University, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-37763.

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Diss. (sammanfattning) Stockholm : Stockholms universitet, 2010.<br>At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 3: Manuscript. Paper 4: Manuscript.
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Mancilla, Alarcón Cristhian A. "Hydrodynamic loadings and responses of a floating guardwall a fluid-structure interaction problem /." Master's thesis, Mississippi State : Mississippi State University, 2005. http://library.msstate.edu/content/templates/?a=72.

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42

Tonin, Mateus Guimarães. "Análise isogeométrica aplicada a problemas de interação fluido-estrtura e superfície livre." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/163325.

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O presente trabalho tem por objetivo desenvolver uma formulação numérica baseada em Análise Isogeométrica para o estudo de problemas de interação fluido-estrutura (IFE) em aplicações envolvendo corpos rígidos submersos, onde escoamentos incompressíveis de fluidos Newtonianos com superfície livre são considerados. Propõe-se o emprego da Análise Isogeométrica por permitir a unificação entre os procedimentos de pré-processamento e análise, melhorando assim as condições de continuidade das funções de base empregadas tanto na discretização espacial do problema como na aproximação das variáveis do s
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Fjärstedt, Jenny. "Catheter Related Problems in Pediatric Oncology Treatment : A Technical Investigation Performed at Uppsala Akademsika Sjukhus." Thesis, Uppsala universitet, Tillämpad materialvetenskap, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-297294.

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In this project, problems related to loss of free flow in central venous catheter and implanted subcutaneous ports have been investigated. The catheters investigated in this project are intended for children with cancer diseases. The initial hypothesis was that the length, radius and curvature of the catheter would affect the flow. Two other things that can have a negative impact on the flow are if the catheter is squashed or kinked. Experiments and simulations have been performed in order to test the hypothesis and investigate how a deformation of the catheter affects the flow. The results fr
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44

Diniz, Dos Santos Nuno. "Méthodes numériques pour problèmes d'interaction fluide-structure avec valves." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2007. http://tel.archives-ouvertes.fr/tel-00521654.

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Cette thèse est motivée par la modélisation et la simulation numérique des phénomènes d'interaction fluide-structure autour de valves cardiaques. L'interaction avec la paroi des vaisseaux est traitée avec une formulation Arbitraire Lagrange Euler (ALE), tandis que l'interaction avec les valves est traitée à l'aide de multiplicateurs de Lagrange, dans une formulation de type Domaines Fictifs (FD). Après une présentation de synthèse des diverses méthodes utilisées en interaction fluide-structure dans les écoulements sanguins, nous décrivons une méthode permettant de simuler la dynamique d'une va
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45

Latini, Chiara <1980&gt. "Numerical strategies for the solution of the magneto-fluid-dynamic problem at Low Magnetic Reynolds Numbers." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amsdottorato.unibo.it/3269/.

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46

Lee, Hyung-Chun. "Analysis, finite element approximation, and computation of optimal and feedback flow control problems." Diss., Virginia Tech, 1994. http://hdl.handle.net/10919/37450.

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The analysis, finite element approximation, and numerical simulation of some control problems associated with fluid flows are considered. First, we consider a coupled solid/fluid temperature control problem. This optimization problem is motivated by the desire to remove temperature peaks, i.e., "hot spots", along the bounding surface of containers of fluid flows. The heat equation of the solid container is coupled to the energy equation for the fluid. Control is effected by adjustments to the temperature of the fluid at the inflow boundary. We give a precise statement of the mathematical mode
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47

Wood, Dylan M. "Solving Unsteady Convection-Diffusion Problems in One and More Dimensions with Local Discontinuous Galerkin Methods and Implicit-Explicit Runge-Kutta Time Stepping." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1461181441.

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48

Kurzen, Matthew James. "Discretization Error Estimation and Exact Solution Generation Using the 2D Method of Nearby Problems." Thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/31239.

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This work examines the Method of Nearby Problems as a way to generate analytical exact solutions to problems governed by partial differential equations (PDEs). The method involves generating a numerical solution to the original problem of interest, curve fitting the solution, and generating source terms by operating the governing PDEs upon the curve fit. Adding these source terms to the right-hand-side of the governing PDEs defines the nearby problem. In addition to its use for generating exact solutions the MNP can be extended for use as an error estimator. The nearby problem can be solved
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49

Dickenson, Paul. "Development of GPU-based incompressible SPH and application to sloshing problems in the oil industry." Thesis, University of Cambridge, 2014. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.648452.

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50

Silverberg, Jon P. "On Lagrangian meshless methods in free-surface flows." Thesis, (1.7 MB), 2005. http://edocs.nps.edu/AR/topic/theses/2005/Jan/05Jan_Silverberg.pdf.

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Thesis (Master of Engineering in Ocean Engineering)--University of California at Berkeley, 2004.<br>"January 2005." Description based on title screen as viewed on May 25, 2010. DTIC Descriptor(s): Fluid Dynamics, Lagrangian Functions, Equations Of Motion, Acceleration, Formulations, Grids, Continuum Mechanics, Gaussian Quadrature, Derivatives (Mathematics), Compact Disks, Boundary Value Problems, Polynomials, Interpolation, Pressure, Operators (Mathematics). DTIC Identifier(s): Multimedia (CD-Rom), Moving Grids, Meshless Discretization, Lifs (Lagrange Implicit Fraction Step), Lagrangian Dynami
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