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Dissertations / Theses on the topic 'Curvilinear coordinates'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Ljungberg, Malin. "Handling of curvilinear coordinates in a PDE solver framework." Licentiate thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-86138.

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By the use of object-oriented analysis and design combined with variability modeling a highly flexible software model for the metrics handling functionality of a PDE solver framework was obtained. This new model was evaluated in terms of usability, particularly with respect to efficiency and flexibility. The efficiency of a pilot implementation is similar to, or even higher than that of a pre-existing application-specific reference code. With regards to flexibility it is shown that the new software model performs well for a set of four change scenarios selected by an expert user group.

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2

Wang, Xiaojun. "Well-posedness results for a class of complex flow problems in the high Weissenberg number limit." Diss., Virginia Tech, 2012. http://hdl.handle.net/10919/27669.

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For simple fluids, or Newtonian fluids, the study of the Navier-Stokes equations in the high Reynolds number limit brings about two fundamental research subjects, the Euler equations and the Prandtl's system. The consideration of infinite Reynolds number reduces the Navier-Stokes equations to the Euler equations, both of which are dealing with the entire flow region. Prandtl's system consists of the governing equations of the boundary layer, a thin layer formed at the wall boundary where viscosity cannot be neglected. In this dissertation, we investigate the upper convected Maxwell(UCM) mod

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3

Medida, Shivaji. "Curvilinear Extension to the Giles Non-reflecting Boundary Conditions for Wall-bounded Flows." Connect to Online Resource-OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=toledo1185309100.

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Thesis (M.S.)--University of Toledo, 2007.<br>Typescript. "Submitted as partial fulfillments of the requirements for the Master of Science Degree in Mechanical Engineering." "A thesis entitled"--at head of title. Bibliography: leaves 196-205.

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4

Ljungberg, Malin. "Design of High Performance Computing Software for Genericity and Variability." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis Acta Universitatis Upsaliensis, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7768.

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5

Strobusch, Daniel [Verfasser], Mathias [Akademischer Betreuer] Nest, Uwe [Akademischer Betreuer] Manthe, Wolfgang [Akademischer Betreuer] Domcke, and Steffen J. [Akademischer Betreuer] Glaser. "Adaptive Expansions of the Vibrational Hamiltonian in Curvilinear Coordinates / Daniel Strobusch. Gutachter: Uwe Manthe ; Wolfgang Domcke ; Steffen J. Glaser ; Mathias Nest. Betreuer: Mathias Nest." München : Universitätsbibliothek der TU München, 2014. http://d-nb.info/1050025490/34.

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6

Stejskal, Jiří. "Analýza rychlostních a tlakových polí kapaliny, využitím křivočarých souřadnic." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-316408.

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This work introduces a new method of hydraulic design of a centrifugal pump impeller. This method is based on a geometrical approach employing curvilinear coordinates that are used to formulate both the axisymmetrical flow model in a meridional shape and the final model of flow in a blade cascade taking into account the full 3D shape of the impeller blade. The solution to this model then directly provides the guidelines for shaping the impeller blade in order to suppress the secondary flows, thus increasing the impeller efficiency, which is demonstrated on a real impeller design case. The part

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7

Nguyen, Dinh Hai. "Analyse asymptotique, modélisation micromécanique et simulation numérique des interfaces courbées rugueuses dans des matériaux hétérogènes." Thesis, Paris Est, 2014. http://www.theses.fr/2014PEST1067/document.

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Dans ce travail de thèse, il s'agit essentiellement de déterminer les propriétés mécaniques et physiques linéaires effectives des composites dans lesquels l'interface entre deux phases n'est pas lisse mais très rugueuse. Une approche efficace pour surmonter les difficultés provenant de la présence de rugosités d'interface consiste d'abord à homogénéiser une zone d'interface rugueuse comme une interphase équivalente par une analyse asymptotique et ensuite à appliquer des schémas micromécaniques pour estimer les propriétés effectives en tenant en compte de la présence de l'interphase équivalente

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8

Meltz, Bertrand. "Analyse mathématique et numérique de systèmes d’hydrodynamique compressible et de photonique en coordonnées polaires." Thesis, Université Paris-Saclay (ComUE), 2015. http://www.theses.fr/2015SACLS062/document.

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Ce manuscrit de thèse est consacré à l'analyse mathématique et numérique des systèmes de l'hydrodynamique compressible et de la photonique. Plus particulièrement, on étudie la construction de méthodes numériques dans des systèmes de coordonnées 2D polaires (une coordonnée radiale et une coordonnée d'angle) et où les équations sont discrétisées sur des maillages polaires structurés. Ces méthodes sont adaptées à la simulation d'écoulements à symétrie polaire puisqu'elles préservent ces symétries par construction. En revanche, ces systèmes de coordonnées introduisent des singularités géométriques

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9

Caire, François. "Les équations de Maxwell covariantes pour le calcul rapide des champs diffractés par des conducteurs complexes. Application au Contrôle Non Destructif par courants de Foucault." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112284/document.

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Ce travail de thèse a pour objectif de fournir un outil de modélisation rapide de l'interaction d'une source électromagnétique 3D avec une pièce de géométrie ou de propriétés physiques complexes dans le domaine des basses fréquences (régime quasi-statique). La principale application est la simulation d'un procédé de Contrôle Non Destructif (CND) d'une pièce conductrice présentant une surface ou des propriétés physiques perturbées. La plateforme logicielle CIVA, comportant un module dédié à la simulation des procédés de CND par courants de Foucault intègre à l’heure actuelle des modèles semi-an

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10

Perez, Alex C. "Applications of Relative Motion Models Using Curvilinear Coordinate Frames." DigitalCommons@USU, 2017. https://digitalcommons.usu.edu/etd/5529.

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A new angles-only initial relative orbit determination (IROD) algorithm is derived using three line-of-sight observations. This algorithm accomplishes this by taking a Singular Value Decomposition of a 6x6 matrix to arrive at an approximate initial relative orbit determination solution. This involves the approximate solution of 6 polynomial equations in 6 unknowns. An iterative improvement algorithm is also derived that provides the exact solution, to numerical precision, of the 6 polynomial equations in 6 unknowns. The initial relative orbit algorithm is also expanded for more than three line

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11

Collart, Timothy Gerard. "Comparison of the effects of realistic flux surface models on calculations of plasma asymmetries in DIII-D." Thesis, Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/54351.

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Several methods are presented for improving upon the traditional analytic “circular” method for constructing a flux-surface aligned curvilinear coordinate system representation of equilibrium plasma geometry and magnetic fields, and the most accurate Asymmetric Miller method is applied to calculations of poloidal asymmetries in plasma density, velocity, and electric potential. Techniques for developing an orthogonalized coordinate system from a general curvilinear representation of plasma flux surfaces and for representing the poloidal component of the magnetic field in the orthogonalized curv

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12

Stanque, Edson Luis. "DIVISÃO DE POLÍGONOS IRREGULARES DO ELIPSÓIDE BIAXIAL NA SUPERFÍCIE DA PROJEÇÃO AZIMUTAL EQUIVALENTE DE LAMBERT." Universidade Federal de Santa Maria, 2007. http://repositorio.ufsm.br/handle/1/9485.

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This dissertation supplies the methodology of the measure (area) in the Earth model adopted for Geodesy. This model is the ellipsoid of revolution, in which the system of Cartesian coordinates, the curvilinear coordinate system and the polar coordinate system are described. The coordinate nature in the development of the surface measure calculation is discussed. The following demonstrations are illustrated: the ellipse equation, the eccentricity of the ellipse, the meridian section curvature radius equation, the meridian transversal section curvature radius equation and elliptic integral. It d

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13

Zebiri, Boubakr. "Étude numérique des interactions onde de choc / couche limite dans les tuyères propulsives Shock-induced flow separation in an overexpanded supersonic planar nozzle A parallel high-order compressible flows solver with domain decomposition method in the generalized curvilinear coordinates system Analysis of shock-wave unsteadiness in conical supersonic nozzles." Thesis, Normandie, 2020. http://www.theses.fr/2020NORMIR06.

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La nécessité d’une meilleure compréhension du mécanisme d’entrainement pour l’instabilité à basse fréquence observée dans un écoulement dans une tuyère sur-détendue a été discutée. Le caractère instable de l’onde de choc/couche limite reste un défi pratique important pour les problèmes des écoulements dans les tuyères. De plus, pour une couche limite turbulente incidente donnée, ce type d’écoulement présente généralement des mouvements de choc à basse fréquence plus élevées qui sont moins couplés aux échelles de temps de la turbulence en amont. Cela peut être bon du point de vue d’un expérimen

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14

Lee, Joo-Kiong. "Radiowave propagation over an irregular terrain using the parabolic equation method in a curvilinear coordinate system." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1995. http://handle.dtic.mil/100.2/ADA297694.

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15

Chebbi, Houssem. "Méthode des coordonnées curvilignes pour la modélisation électromagnétique des matériaux complexes : application au contrôle non destructif par courants de Foucault des matériaux composites The fast computation of eddy current distribution and probe response in homogenized composite material based on semi-analytical approach Investigation of layer interface model of multi-layer structure using semi-analytical and FEM analysis for eddy current pulsed thermography." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPAST004.

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Ce travail de thèse de doctorat, effectué au sein de Laboratoire de Simulation et Modélisation Électromagnétique (LSME) du CEA List, s’intègre dans le cadre du projet européen « NDTonAir » financé sous l'action « H2020-MSCA-ITN-2016- GRANT 722134 ». Le principal objectif est le développement d’un outil de simulation rapide et précis dédié au contrôle non destructif par courants de Foucault des matériaux composites homogénéisés. Comme cas d’application, on s’intéresse particulièrement à l’orientation des fibres d’une part, et d’autre part, à des défauts de type délaminage et ondulation des fibr

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16

Volakos, Nikolaos Panagiotou. "Numerical modelling of wind-induced circulation and pollution transport in the Thermaikos Gulf using a curvilinear coordinate system." Thesis, University of Salford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249011.

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17

高下, 和浩, Kazuhiro KOHGE, 吉泰峯村, Kiyoshi MINEMURA, 知実内山 та Tomomi UCHIYAMA. "三次元一般曲線座標系に対するCIP法粘性流解法". 日本機械学会, 2000. http://hdl.handle.net/2237/9217.

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18

Sloupenský, Zdeněk. "Návrh odstředivého čerpadla metodami diferenciální geometrie." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2011. http://www.nusl.cz/ntk/nusl-233958.

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This thesis deals with a new approach to the design of impeller, blade and spiral of centrifugal pump. The mathematic model of flow inside meridional section of impeller and spiral is based on the instruments of differential geometry applied to Bezier surfaces. This formerly introduced theory is more deeply developed in this thesis and the conclusions are applied to the design of centrifugal pump parts working with fluid. The main thesis output is the mathematic model and on its principles created software determined for the design of impeller, blade and spiral. The received results are export

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19

Mei, Chia-Min, and 梅嘉敏. "Development of an optimized numerical wavenumber Maxwell’s equation solver in curvilinear coordinates." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/16368009192898812449.

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碩士<br>國立臺灣大學<br>工程科學及海洋工程學研究所<br>99<br>In this thesis, a finite-difference time domain solver is presented for solving the Maxwell''s equations in curvilinear coordinates.The scheme formulated in time domain and non-staggered grid system can theoretically preserve zero-divergence condition and optimized numerical wavenumber characteristics. To accommodate the Hamiltonian structure in the Maxwell''s equations, the time integrator employed in the current semi-discretization falls into the symplectic category. The inherent local conservation laws are also retained discretely a

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20

Yuan, Sheng-Tzung, and 袁聖宗. "Calculation of the coupled system of PNP and NS equations in curvilinear coordinates." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/01027646844511303974.

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碩士<br>國立臺灣大學<br>工程科學及海洋工程學研究所<br>101<br>In this study we aim to develop a high order scheme for approximating the spatial derivative terms shown in the Poisson-Nernst-Planck(PNP) as well as in the incompressible Navier-Stokes(NS) equations. To resolve sharp solution profiles near the wall, within the three-point stencil the combined compact difference scheme in applied to yield sixth-order accuracy for the second-order derivative terms while fifth-order accuracy for the first-order derivative terms, the differential set of PNP-NS equations has been transformed to the nonlinear coordinates so

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21

XIAO, SHI-WEN, and 蕭世文. "Natural convection heat transfer in confined porous media using body fitted curvilinear coordinates methods." Thesis, 1990. http://ndltd.ncl.edu.tw/handle/39792242977069664655.

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博士<br>國立成功大學<br>機械工程研究所<br>79<br>The natural convection heat transfer in confined porous media is studied in this thesis using the body-fitted curvilinear coordinates system. Five problems are investigated: (1) Transient natural convection in a porous annulus between horizontal cylinders. (2) Transient natural convection about a heated corrugated plate embeded in an enclosed porous medium. (3) Transient natural convection for a heated horizontal bylinder in an enclosed porous

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22

Toussaint, Nicolas. "Curvilinear Analysis and Approximation of Cardiac DTI In-Vivo." Phd thesis, 2012. http://tel.archives-ouvertes.fr/tel-00846248.

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Diffusion Tensor MRI can be used to depict the anisotropy of tissue. Translation of this technique to moving objects such as the beating heart has recently become feasible, but remains a challenging task, often leading to high noise levels and limited accuracy. Ultimately, knowledge of the 3D fibre architecture of the myocardium invivo should allow for a better understanding of the cardiac function both in healthy and pathological situations. The main goal of the work presented in this thesis is to overcome the difficulties that such technology presents, by introducing a combination of image p

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23

SHU, LAI SZ, and 賴思旭. "Development of a 2-D Helmholtz nine-point stencil finite difference scheme on curvilinear coordinates." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/85301035710735513105.

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碩士<br>國立臺灣大學<br>工程科學與海洋工程學系<br>91<br>In this thesis, we consider a point-source wave propagation in an irregular domain. Our strategy of simulating this wave problem is to transform the Helmholtz equation in Cartesian coordinates into its equivalent CDR equation in curvilinear coordinates. For purposes of computational efficiency, the implicit scheme is constructed within the nine-point finite-difference framework so as to allow use of a computationally efficient direct solver. Note that the MSI procedure,

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賴思旭. "= Development of a 2-D helmholtz nine-point stencil finite difference scheme on curvilinear coordinates." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/50343407489553659030.

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25

Hung, Yi-Wei, and 洪毅瑋. "Development of a divergence-free, symplecticity and dispersion relation preserving Maxwell’s equations scheme in nonstaggered curvilinear coordinates." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/49599717338383618396.

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碩士<br>臺灣大學<br>工程科學及海洋工程學研究所<br>98<br>In this thesis, a finite-difference solver for Maxwell''s equations in non-staggered grids is presented. The scheme formulated in time domain theoretically preserves the properties of zero-divergence, symplecticity, and dispersion relation. The mathematically inherent Hamiltonian can be also retained all the time. Moreover, both spatial and temporal terms are approximated to yield the equal fourth-order spatial and temporal accuracies. Through the computational exercises, modified equation analysis and Fourier analysis, it can be clearly demonstrated that t

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26

Huang, De-Shau, and 黃德劭. "Numerical Simulation of Turbulent Flow Using Curvilinear Coordinate System." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/37739017233343968069.

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碩士<br>國立臺灣大學<br>機械工程研究所<br>81<br>The complex geometries and turbulent flow are usually encountered in engineering application , for example , kindey- shape combustor , diffuser e.t.c. Numerical methods predicting fluid flow are restricted by the complex geometries , because it is difficult to treat boundary of irregular configurations . Therefore , nonorthogonal coordinate system has been developed rapidly . The velocity components can be classified into the contravariant and covariant velo

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27

Huang, De-Shao, and 黃德劭. "Numerical simulation of turbulent flow using curvilinear coordinate system." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/20583503291721175297.

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28

Tsay, Chen-Wei, and 蔡振偉. "Using Curvilinear Coordinate in Mild-Slope Equation to Simulate Nearshore Wave Fields." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/26013490261445606347.

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碩士<br>國立成功大學<br>水利及海洋工程學系<br>88<br>Based on the time-dependent parabolic mild-slope equation, the curvilinear coordinate is used to form the appropriate boundary grid system for wave calculations. The governing equation subject to radiation boundary conditions is solved by alternative direction implicit (ADI) method. From the numerical calculation, the special shape of coastal boundary topography and the problem of wave transformations can be solved by the curvilinear governing equation. In comparison with the finite difference method of Cartesian coordinate, the present model can improve the

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29

Chia-YangHsu and 許佳揚. "Estimation of Initial Value for Inverse Heat Conduction Problem in Curvilinear Coordinate System." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/93269675576366026587.

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碩士<br>國立成功大學<br>機械工程學系碩博士班<br>100<br>The study discusses the heat conduction problem when the initial value is unknown. Using the polynomial expansion method to express unknown initial value, at a particular point, we take several measured temperature value at different times to solve the coefficients of the expansion in order to get the initial value. The study investigates into the accuracy of estimation value analyzed at different measurement point in cylindrical coordinate, the effects of how long the time we analysis, estimates the initial value using the measurement value at different ti

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30

LIU, SHENG-XIANG, and 劉昇祥. "Mathematical modelling of a two-dimensional solid-propellant ducted rocket in the curvilinear coordinate systme." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/05502855199911290399.

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31

洪聖翔. "Simulation of Curved Channel Flow Using a Semi-3D Model with Orthogonal Curvilinear Coordinate System." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/50479920689753021103.

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碩士<br>國立交通大學<br>土木工程學系<br>99<br>This study develops a semi-3D model based on a vertical-horizontal splitting (VHS) method to analyze the flow in open-channel bends. In horizontal, the surface elevation and depth-averaged velocity components are computed by 2D depth-averaged model. In vertical, assume the 3D velocity profile of Navier-Stokes equations is equal to the depth-averaged velocity plus the deviation of velocity profile, and then the vertical governing equations can be derived by subtracting the 2D depth-averaged equations to the 3D Navier-Stokes equations. In order to fit the complex

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32

Μπλούτσος, Αριστείδης. "Προσομοίωση αλληλεπίδρασης ανωστικών φλεβών σε ήρεμο ή κινούμενο αποδέκτη". Thesis, 2012. http://hdl.handle.net/10889/6951.

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Οι ροές φλεβών άνωσης παρουσιάζουν μεγάλο ενδιαφέρον στην περιβαλλοντική υδραυλική και στη μηχανική των ρευστών, επειδή εμφανίζονται σε αρκετά φαινόμενα που σχετίζονται με τη διάθεση υγρών αποβλήτων ή θερμικών απορρίψεων σε υδάτινους αποδέκτες καθώς επίσης και την εκπομπή αερίων ενώσεων από καμινάδες στην ατμόσφαιρα. Στην παρούσα Διδακτορική Διατριβή μελετήθηκε η ροή κεκλιμένης δισδιάστατης ή κυκλικής ανωστικής φλέβας εντός ακίνητου ή κινούμενου αποδέκτη και η αλληλεπίδραση μεταξύ ανωστικών φλεβών. Στα υπάρχοντα μαθηματικά μοντέλα, ο υπολογισμός του πεδίου ροής και διάχυσης μιας κεκλιμένης

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