Дисертації з теми "Adaptive Multigrid"
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Brannick, James. "Adaptive algebraic multigrid coarsening strategies." Diss., Connect to online resource, 2005. http://wwwlib.umi.com/cr/colorado/fullcit?p3190384.
Повний текст джерелаMayfield, Andrew James. "Adaptive mesh refinement." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358687.
Повний текст джерелаKahl, Karsten. "Adaptive Algebraic Multigrid Methods for Lattice QCD Computations." Wuppertal Universitätsbibliothek Wuppertal, 2010. http://d-nb.info/1000531767/34.
Повний текст джерелаRottmann, Matthias [Verfasser]. "Adaptive Domain Decomposition Multigrid for Lattice QCD / Matthias Rottmann." Wuppertal : Universitätsbibliothek Wuppertal, 2016. http://d-nb.info/1093603240/34.
Повний текст джерелаThorne, Jr Daniel Thomas. "Multigrid with Cache Optimizations on Adaptive Mesh Refinement Hierarchies." UKnowledge, 2003. http://uknowledge.uky.edu/gradschool_diss/325.
Повний текст джерелаKahl, Karsten [Verfasser]. "Adaptive Algebraic Multigrid Methods for Lattice QCD Computations / Karsten Kahl." Wuppertal : Universitätsbibliothek Wuppertal, 2010. http://d-nb.info/1000531767/34.
Повний текст джерелаVey, Simon. "Adaptive Finite Elements for Systems of PDEs: Software Concepts, Multi-level Techniques and Parallelization." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1212489177096-59154.
Повний текст джерелаRosam, Jan. "A fully implicit, fully adaptive multigrid method for multiscale phase-field modelling." Thesis, University of Leeds, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.445357.
Повний текст джерелаSanders, Geoffrey D. "Extensions to adaptive smooth aggregation (alphaSA) multigrid: Eigensolver initialization and nonsymmetric problems." Connect to online resource, 2008. 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:3337216.
Повний текст джерелаVey, Simon. "Adaptive Finite Elements for Systems of PDEs: Software Concepts, Multi-level Techniques and Parallelization." Doctoral thesis, Technische Universität Dresden, 2007. https://tud.qucosa.de/id/qucosa%3A23684.
Повний текст джерелаMuzaferija, Samir. "Adaptive finite volume method for flow prediction using unstructured meshes and multigrid approach." Thesis, Online version, 1994. http://ethos.bl.uk/OrderDetails.do?did=1&uin=uk.bl.ethos.311804.
Повний текст джерелаLezeau, Patrick A. "An adaptive quasi-Newton coupled multigrid solver for the simulation of steady multiphase flows." Thesis, Cranfield University, 1997. http://hdl.handle.net/1826/4025.
Повний текст джерелаOffermans, Nicolas. "Towards adaptive mesh refinement in Nek5000." Licentiate thesis, KTH, Mekanik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-217501.
Повний текст джерелаQC 20171114
Meneghello, Gianluca. "Stability and receptivity of the swept-wing attachment-line boundary layer : a multigrid numerical approach." Palaiseau, Ecole polytechnique, 2013. http://pastel.archives-ouvertes.fr/docs/00/79/55/43/PDF/tesi.pdf.
Повний текст джерелаThe goal of this study is the analysis of the stability and receptivity properties of the three-dimensional flow past the leading edge of a swept wing. The project is divided into two parts: (i) the computation of the steady base flow as a solution of the steady-state Navier-Stokes equations and (ii) the study of the direct and adjoint eigenvalue problems obtained by linearizing the time-dependent Navier-Stokes equation around the base flow. In order to address the first part, a DNS code has been developed based on a multigrid framework. The solution of the non-linear steady-state Navier-Stokes equation at various Reynolds numbers is obtained by continuation at a computational cost of nearly O(n), where n is the number of degrees of freedom (dof) of the problem. The study of the stability and receptivity properties is performed by numerically solving the eigenvalue/eigenvector problem. A Krylov-Schur algorithm, coupled with a shift-invert spectral transformation, is used to extract part of the spectrum. Two branches may be identified and one of these is associated with eigenvectors displaying a connection between attachment line and cross-flow modes. The wave-maker region for these eigenvectors is shown to be located close to the attachment line by computing the corresponding solution to the adjoint eigenvalue problem. The numerical global results are compared qualitatively with existing experimental observations and local stability analysis
Villar, Millena Martins. "Análise numérica detalhada de escoamentos multifásicos bidimensionais." Universidade Federal de Uberlândia, 2007. https://repositorio.ufu.br/handle/123456789/14664.
Повний текст джерелаThe mathematical modeling of multiphase flows involves the interaction between deformable and moving geometries with the fluid in which they are dispersed (immersed). This kind of interaction is present in many practical applications. A common approach to handle these problems is the so called Front-Tracking/Front-Capturing Hybrid Methods. This methodology consists in separating the problem into two domains: an eulerian domain, which is kept fixed and is used to discretize the fluid equations of both phases, and a lagrangian domain, which is used to solve the equations of motion of the interface. Since there is no geometric dependence between these two domains, the method can easily handle moving and deformable interfaces that are dispersed in the flow. Following this line of research, the present work aims to capture accurately details of such flows by resolving adequately the relevant physical scales in time and in space. This can be achieved by applying locally refined meshes which adapt dynamically to cover special flow regions, e.g. the vicinity of the fluid-fluid interfaces. To obtain the required resolution in time, a semi-implicit second order discretization to solve the Navier-Stokes equations is used. The turbulence modeling is introduced in the present work through Large Eddy Simulation. The eficiency and robustness of the methodology applied are verified via convergence analysis, as well as with simulations of one-phase and two-phase flows for several Reynolds numbers. The results of two-phase flows, with one bubble and with multiple bubbles, are presented. The results obtained for a single bubble case are compared with Clift's shape diagram (Clift et al., 1978).
A modelagem matemática de escoamentos multifásicos envolve a interação de geometrias móveis e deformáveis com o meio fluido que as envolve. Este tipo de interação faz parte de uma extensa lista de aplicações. Uma linha proposta para o tratamento num érico deste tipo de problema são os métodos híbridos Front-Tracking/Front-Capturing. Esta abordagem leva à separação do problema em dois domínios distintos (líquido/gás e líquido/líquido), um domínio fixo, euleriano, utilizado para discretizar as equações de ambas as fases, e outro móvel, lagrangiano, usado para as interfaces. Para o presente trabalho, na metologia utilizada, ambos os domínios são geometricamente independentes e não apresentam restrição quanto ao movimento e à deformação da fase dispersa. Seguindo esta linha, no presente trabalho propõe-se capturar detalhes deste de tipo escoamento, resolvendo adequadamente as escalas físicas do tempo e do espaço, utilizando malhas bloco estruturada refinadas localmente, as quais se adaptam dinamicamente para recobrir as regiões de interesse do escoamento (como, por exemplo, ao redor da interface fluido-fluido). Para se obter a resolução necessária no tempo, é usada uma discretização semi-implícita de segunda ordem para solucionar as equações de Navier-Stokes. A modelagem da turbulência é introduzida no presente trabalho via Simulação de Grandes Escalas. A eficiência e a robustez da metodologia implementada são verificadas via análise de convergência do método, bem como a simulação de escoamentos monofásicos e bifásicos para diferentes números Reynolds. São também apresentados resultados para escoamentos bifásicos com uma só bolha assim como para múltiplas bolhas. Os resultados de escoamentos mono-bolhas são comparados com o diagrama de forma de Clift et al. (1978).
Doutor em Engenharia Mecânica
Coco, Armando. "Finite-Difference Ghost-Cell Multigrid Methods for Elliptic problems with Mixed Boundary Conditions and Discontinuous Coefficients." Doctoral thesis, Università di Catania, 2012. http://hdl.handle.net/10761/1107.
Повний текст джерелаMeneghello, Gianluca. "Réceptivité et sensibilité de la couche limite dans le bord d'attaque d'une aile en fleche : une approche multigrid." Phd thesis, Ecole Polytechnique X, 2013. http://pastel.archives-ouvertes.fr/pastel-00795543.
Повний текст джерелаLöf, Henrik. "Iterative and Adaptive PDE Solvers for Shared Memory Architectures." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7136.
Повний текст джерелаNós, Rudimar Luiz. "\"Simulações de escoamentos tridimensionais bifásicos empregando métodos adaptativos e modelos de campo fase\"." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-08052007-143200/.
Повний текст джерелаThis is the first work that introduces 3D fully adaptive simulations for a phase field model of an incompressible fluid with matched densities and variable viscosity, known as Model H. Solving numerically the equations of this model in meshes locally refined with AMR technique, we simulate computationally tridimensional two-phase flows. Phase field models offer a systematic physical approach to investigate complex multiphase systems phenomena such as fluid mixing layers, phase separation under shear and microstructure evolution during solidification processes. As interfaces are replaced by thin transition regions (diffuse interfaces), phase field simulations need great resolution in these regions to capture correctly the physics of the studied problem. However, this is not an easy task to do numerically. Phase field model equations have high order derivatives and intricate nonlinear terms, which require an efficient numerical strategy that can achieve accuracy both in time and in space, especially in three dimensions. To obtain the required resolution in time, we employ a semi-implicit second order discretization scheme to solve the coupled Cahn-Hilliard/Navier-Stokes equations (Model H). To resolve adequatly the relevant physical scales in space, we use locally refined meshes which adapt dynamically to cover special flow regions, e.g., the vicinity of the fluid interfaces. We demonstrate the efficiency and robustness of our methodology with simulations that include spinodal decomposition, the deformation of drops under shear and Kelvin-Helmholtz instabilities.
Le, Carlier de Veslud Christian. "Etude et réalisation de logiciels d'éléments finis sur micro-ordinateur : mailleurs automatiques résolution auto-adaptative de problèmes de mécanique utilisant la méthode multigrilles." Vandoeuvre-les-Nancy, INPL, 1991. http://docnum.univ-lorraine.fr/public/INPL_T_1991_LE_CARLIER_DE_VESLUD_C.pdf.
Повний текст джерелаCakmak, Mehtap. "Development Of A Multigrid Accelerated Euler Solver On Adaptively Refined Two- And Three-dimensional Cartesian Grids." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/2/12610753/index.pdf.
Повний текст джерелаs approximate Riemann solver with cell-centered approach. Least squares reconstruction of flow variables within the cell is used to determine high gradient regions of flow. Solution based adaptation method is then applied to current mesh in order to refine these regions and also coarsened regions where unnecessary small cells exist. Multistage time stepping is used with local time steps to increase the convergence rate. Also FAS multigrid technique is used in order to increase the convergence rate. It is obvious that implementation of geometry and solution based adaptations are easier for Cartesian meshes than other types of meshes. Besides, presented numerical results show the accuracy and efficiency of the algorithm by especially using geometry and solution based adaptation. Finally, Euler solutions of Cartesian grids around airfoils, projectiles and wings are compared with the experimental and numerical data available in the literature and accuracy and efficiency of the solver are verified.
Jones, Alison Claire. "A projected multigrid method for the solution of non-linear finite element problems on adaptively refined grids." Thesis, University of Leeds, 2005. http://etheses.whiterose.ac.uk/1328/.
Повний текст джерелаLin, Ming-Huei, and 林明輝. "On Adaptive Multigrid Method." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/98070543798105564267.
Повний текст джерела國立交通大學
應用數學研究所
81
Adaptive multigrid methods are developed for the finite element ( FE ) and finite volume element ( FVE ) approximations of general elliptic boundary value problems.
Stals, Linda. "Parallel multigrid on unstructured grids using adaptive finite element methods." Phd thesis, 1995. http://hdl.handle.net/1885/138505.
Повний текст джерелаBai, Ji-Hong, and 白佶弘. "Adaptive multigrid-continuation methods for Bose-Einestein condensates in a periodic potential." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/72505662921024132017.
Повний текст джерела國立中興大學
應用數學系所
97
We study multigrid-continuation method for treating parameter-dependent problems. The proposed algorithm which can be flexibly implemented is a generalization of the two-grid discretization schemes [8]. That is, approximating points on a solution curve do not necessarily lie on the same fine grid. We apply the algorithm to compute energy levels and superfluid densities of Bose-Einstein condensates (BEC) in a periodic potential. For positive scattering length, if the chemical potential is large enough, and the domain is properly chosen, the results show that the number of peaks of the first few energy states of the 1D BEC and 2D BEC in a periodic potential depends on the wave number of the periodic potential. Moreover, for dark solitons the number of peaks of the ground state solutions is Π(2l/d_j), where the periodic potential is expressed in terms of the cosine functions. Finally, we study two-stage continuation algorithms for Bloch waves of 1D BEC in optical lattices. Our sample numerical result is reported.
Son, Chiou Shean, and 邱顯森. "Application of Adaptive Multigrid Method to the Simulator of Sliders in Hard Disk Drives." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/03711870134649964626.
Повний текст джерела國立臺灣大學
機械工程學研究所
88
An accurate and efficient numerical simulator is essential to the design and development of modern hard disk drives. The governing equation for the air bearing pressure between the slider and the disk is the generalized Reynolds equation. Due to the non-linearity of the Reynolds equation and the complexity of the slider surface, the air bearing pressure can only be solved numerically. The multigrid method has been proven to be a reliable scheme for solving the Reynolds equation. However, in order to describe the high-pressure gradient on the arbitrary shaped rails accurately, extremely fine mesh is required. This would significantly deteriorate the efficiency of the multigrid method especially when applied to the modern textured shaped sliders. In this thesis, we develop a numerical program based on the adaptive multigrid method to simulate the steady-state as well as the dynamical responses of sliders. The program automatically constructs high-level fine-mesh patches at and only at locations where the relative truncation errors exceed the required tolerance. This adaptive scheme can save computational resource and increase simulation efficiency dramatically. By using this program, we study the effects of the textured rails on the flying characteristics of an H-shaped negative pressure slider. It is found that the flying height increases with the number of landing pads.
Lee, Wei-Jen, and 李偉任. "Multigrid and Adaptive Methods for Computing Singular Solutions of Laplace Equation on Corner Domains." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/77603040683327370289.
Повний текст джерела國立交通大學
應用數學系數學建模與科學計算碩士班
98
Elliptic boundary value problems on domain with corners have singular behavior near the corners. Such singular behavior affect the accuracy of the finite element method throughout the whole domain. For the Poisson equation with homogeneous Dirichlet boundary conditions defined on a polygonal domain with re-entrant corners, it is well known that the solution has the singular function u=w+ks representation ,where w is the regular part of the solution and s are known as singular functions that depend only on the corresponding re-entrant angles. Coefficients k known as the stress intensity factors in the context of mechanics can be expressed in terms of u by extraction formula, where s- are known as dual singular funciton. Accurate calculation of these quantities is of great importance in many practical engineering problems. Similar singular function representations hold for the solutions of interface,biharmonic,elasticity, and evolution problems in [1, 2].
Halder, Soham. "Scalability Bottleneck Analysis of High Performance Applications." Thesis, 2020. https://etd.iisc.ac.in/handle/2005/4487.
Повний текст джерелаRichter, Thomas [Verfasser]. "Parallel multigrid method for adaptive finite elements with application to 3D flow problems / vorgelegt von Thomas Richter." 2005. http://d-nb.info/97605843X/34.
Повний текст джерелаIsaac, Tobin Gregory. "Scalable, adaptive methods for forward and inverse problems in continental-scale ice sheet modeling." Thesis, 2015. http://hdl.handle.net/2152/31372.
Повний текст джерелаPathak, Harshavardhana Sunil. "Adaptive Mesh Redistribution for Hyperbolic Conservation Laws." Thesis, 2013. http://etd.iisc.ac.in/handle/2005/3281.
Повний текст джерелаPathak, Harshavardhana Sunil. "Adaptive Mesh Redistribution for Hyperbolic Conservation Laws." Thesis, 2013. http://hdl.handle.net/2005/3281.
Повний текст джерелаNesme, Matthieu. "Milieu mécanique déformable multirésolution pour la simulation interactive." Phd thesis, 2008. http://tel.archives-ouvertes.fr/tel-00293531.
Повний текст джерелаPlusieurs approches performantes permettent l'animation d'objets déformables, mais les scènes sont souvent complexes à modéliser rendant leur utilisation difficile en pratique.
Dans cette thèse nous proposons une solution simplifiant l'animation physique interactive d'objets déformables. Nous suggérons de plonger et d'interpoler l'objet dans une grille déformable sur laquelle s'appliquent des lois mécaniques. Une méthode d'éléments finis rapides et robustes a été étendue afin de prendre en compte la répartition de la matière et plusieurs propriétés de matériaux à l'intérieur d'un élément, et ainsi offrir un comportement amélioré à des résolutions grossières. Afin de concentrer les calculs là où ils sont le plus nécessaires, une formulation multirésolution simple est proposée.
Puis nous analysons deux méthodes permettant d'améliorer la propagation des déformations pour des matériaux "mal conditionnés" : une formulation hiérarchique des élément finis, lourde à mettre en place mais permettant facilement la multirésolution, et une formulation multigrid, élégante et performante, mais plus difficile à décliner en multirésolution.
Enfin nous validons la précision de notre méthode en la soumettant à diverses expériences.
Il en résulte une méthode rapide, robuste, précise et facile d'utilisation aussi bien pour un infographiste, qui peut animer n'importe quel modèle sans connaissances préalables, que pour la modélisation individualisée d'un patient à partir d'images médicales segmentées.