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Dissertations / Theses on the topic 'Grid refinement'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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1

Mozaffari, Sajad. "Adaptive Grid Refinement for Hybrid RANS/LES." Thesis, Ecole centrale de Nantes, 2020. http://www.theses.fr/2020ECDN0009.

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Les modèles hybrides RANS/LES, qui utilisent les capacités des modèles RANS et LES, conviennent pour la simulation d’écoulements à nombre de Reynolds élevé avec des phénomènes physiques et des géométries complexes. Pourtant, en raison de la dépendance du comportement de ces modèles par rapport à la taille locale des mailles, la génération de maillages avec une bonne résolution est cruciale. Pour une simulation hybride RANS/LES complexe, la génération du maillage est une étape qui demande un effort important. Un processus de rafﬁnement adaptatif est une alternative intéressante, mais nécessite

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2

Dipasquale, Daniele. "Adaptive Grid Refinement and Scaling Techniques Applied to Peridynamics." Doctoral thesis, Università degli studi di Padova, 2017. http://hdl.handle.net/11577/3426213.

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Peridynamics, a recently proposed non-local continuum theory, is particularly suitable to describe fracture phenomena in a wide range of materials. One of most common techniques for its numerical implementation is based on a mesh-free approach, in which the whole body is discretized with a uniform grid and a constant horizon, the latter related to the length-scale of the material and/or of the phenomenon analysed. As a consequence of that, computational resources may not be used efﬁciently. The present work proposes adaptive reﬁnement/scaling algorithms for 2D and 3D peridynamic grids, to redu

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3

Sinha, Bhaskar. "Surface mesh generation using curvature-based refinement." Master's thesis, Mississippi State : Mississippi State University, 2002. http://library.msstate.edu/etd/show.asp?etd=etd-09252002-141359.

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4

Osborn, Bryan Russell. "A lattice kinetic scheme with grid refinement for 3D resistive mangetohydrodynamics." College Park, Md. : University of Maryland, 2004. http://hdl.handle.net/1903/1560.

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Thesis (M.S.) -- University of Maryland, College Park, 2004.<br>Thesis research directed by: Applied Mathematics Program. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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5

Parrish, Michael H. "A selective approach to conformal refinement of unstructured hexahedral meshes /." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1985.pdf.

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6

Pikoulas, Christos. "A local grid refinement technique for fluid flow predictions in 3-D." Thesis, Imperial College London, 1995. http://hdl.handle.net/10044/1/8095.

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7

Edgel, Jared D. "An Adaptive Grid-Based All Hexahedral Meshing Algorithm Based on 2-Refinement." BYU ScholarsArchive, 2010. https://scholarsarchive.byu.edu/etd/2241.

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Adaptive all-hexahedral meshing algorithms have many desirable features. These algorithms provide a mesh that is efficient for analysis by providing a high element density in specific locations, such as areas of high stress gradient or high curvature and reduced mesh density in other areas of less importance. In addition, inside-out hexahedral grid based schemes, using Cartesian structured grids for the base mesh, have shown great promise in accommodating automatic all-hexahedral algorithms. In these algorithms mesh refinement is generally used to capture geometric features. Unfortunately, mos

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8

Röblitz, Susanna [Verfasser]. "Statistical error estimation and grid-free hierarchical refinement in conformation dynamics / Susanna Röblitz." Berlin : Freie Universität Berlin, 2009. http://d-nb.info/102346473X/34.

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9

Pashias, Christos. "Propeller tip vortex simulation using adaptive grid refinement based on flow feature identification." Thesis, University of Southampton, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427353.

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10

Mohammed, Najla Abdullah. "Grid refinement and verification estimates for the RBF construction method of Lyapunov functions." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/65711/.

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Lyapunov functions are functions with negative orbital derivative, whose existence guarantee the stability of an equilibrium point of an ODE. Moreover, sub-level sets of a Lyapunov function are subsets of the domain of attraction of the equilibrium. In this thesis, we improve an established numerical method to construct Lyapunov functions using the radial basis functions (RBF) collocation method. The RBF collocation method approximates the solution of linear PDE's using scattered collocation points, and one of its applications is the construction of Lyapunov functions. More precisely, we appro

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11

Senguttuvan, Vinoad. "Solution adaptive isotropic and anisotropic mesh refinement using general elements." Master's thesis, Mississippi State : Mississippi State University, 2005. http://library.msstate.edu/etd/show.asp?etd=etd-04062005-104308.

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12

Song, Weihong. "A real space approach to LEED computation with flexible local mesh refinement." Click to view the E-thesis via HKUTO, 2004. http://sunzi.lib.hku.hk/hkuto/record/B39849004.

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Song, Weihong, and 宋慰鴻. "A real space approach to LEED computation with flexible local mesh refinement." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B39849004.

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14

Wan, Ka-ho, and 溫家豪. "Transition finite elements for mesh refinement in plane and plate bending analyses." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2004. http://hub.hku.hk/bib/B29478546.

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15

Krishnan, Sreedevi. "An Adaptively refined Cartesian grid method for moving boundary problems applied to biomedical systems." Diss., University of Iowa, 2006. https://ir.uiowa.edu/etd/87.

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A major drawback in the operation of mechanical heart valve prostheses is thrombus formation in the near valve region potentially due to the high shear stresses present in the leakage jet flows through small gaps between leaflets and the valve housing. Detailed flow analysis in this region during the valve closure phase is of interest in understanding the relationship between shear stress and platelet activation. An efficient Cartesian grid method is developed for the simulation of incompressible flows around stationary and moving three-dimensional immersed soli

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16

Ren, Da Qi. "Analysis and design development of parallel 3-D mesh refinement algorithms for finite element electromagnetics with tetrahedra." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103003.

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Optimal partitioning of three-dimensional (3-D) mesh applications necessitates dynamically determining and optimizing for the most time-inhibiting factors, such as load imbalance and communication volume. One challenge is to create an analytical model where the programmer can focus on optimizing load imbalance or communication volume to reduce execution time. Another challenge is the best individual performance of a specific mesh refinement demands precise study and the selection of the suitable computation strategy. Very-large-scale finite element method (FEM) applications require sophisticat

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17

Ozcelikkale, Altug. "Development Of An Incompressible, Laminar Flowsolver Based On Least Squares Spectral Element Methodwith P-type Adaptive Refinement Capabilities." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/3/12612096/index.pdf.

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The aim of this thesis is to develop a flow solver that has the ability to obtain an accurate numerical solution fast and efficiently with minimum user intervention. In this study, a two-dimensional viscous, laminar, incompressible flow solver based on Least-Squares Spectral Element Method (LSSEM) is developed. The LSSEM flow solver can work on hp-type nonconforming grids and can perform p-type adaptive refinement. Several benchmark problems are solved in order to validate the solver and successful results are obtained. In particular, it is demonstrated that p-type adaptive refinement on hp-ty

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18

Gokhale, Nandan Bhushan. "A dimensionally split Cartesian cut cell method for Computational Fluid Dynamics." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/289732.

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We present a novel dimensionally split Cartesian cut cell method to compute inviscid, viscous and turbulent flows around rigid geometries. On a cut cell mesh, the existence of arbitrarily small boundary cells severely restricts the stable time step for an explicit numerical scheme. We solve this `small cell problem' when computing solutions for hyperbolic conservation laws by combining wave speed and geometric information to develop a novel stabilised cut cell flux. The convergence and stability of the developed technique are proved for the one-dimensional linear advection equation, while its

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19

Volk, Annette. "Quantification of Numerical and Modeling Errors in Simulation of Fluid Flow through a Fixed Particle Bed." University of Cincinnati / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1448275079.

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20

Jain, Sachin. "Multiresolution strategies for the numerical solution of optimal control problems." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/22656.

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Thesis (Ph. D.)--Aerospace Engineering, Georgia Institute of Technology, 2008.<br>Committee Chair: Tsiotras, Panagiotis; Committee Member: Calise, Anthony J.; Committee Member: Egerstedt, Magnus; Committee Member: Prasad, J. V. R.; Committee Member: Russell, Ryan P.; Committee Member: Zhou, Hao-Min.

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21

Cosler, Douglas Jay. "Numerical investigation of field-scale convective mixing processes in heterogeneous, variable-density flow systems using high-resolution adaptive mesh refinement methods." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1148412827.

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22

Dai, Jianhua. "Simulation of Multiobject Nanoscale Systems." University of Akron / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=akron1239154185.

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23

Saeed, Usman. "Adaptive numerical techniques for the solution of electromagnetic integral equations." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41173.

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Various error estimation and adaptive refinement techniques for the solution of electromagnetic integral equations were developed. Residual based error estimators and h-refinement implementations were done for the Method of Moments (MoM) solution of electromagnetic integral equations for a number of different problems. Due to high computational cost associated with the MoM, a cheaper solution technique known as the Locally-Corrected Nyström (LCN) method was explored. Several explicit and implicit techniques for error estimation in the LCN solution of electromagnetic integral equations were pro

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24

Barrett, James. "Refinements and practical implementation of a power based loss of grid detection algorithm for embedded generators." Thesis, University of Bath, 1994. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.760661.

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25

Marco, Alacid Onofre. "Structural Shape Optimization Based On The Use Of Cartesian Grids." Doctoral thesis, Universitat Politècnica de València, 2018. http://hdl.handle.net/10251/86195.

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As ever more challenging designs are required in present-day industries, the traditional trial-and-error procedure frequently used for designing mechanical parts slows down the design process and yields suboptimal designs, so that new approaches are needed to obtain a competitive advantage. With the ascent of the Finite Element Method (FEM) in the engineering community in the 1970s, structural shape optimization arose as a promising area of application. However, due to the iterative nature of shape optimization processes, the handling of large quantities of numerical models along with the ap

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26

Sert, Cuneyt. "Nonconforming formulations with spectral element methods." Diss., Texas A&M University, 2003. http://hdl.handle.net/1969.1/1268.

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A spectral element algorithm for solution of the incompressible Navier-Stokes and heat transfer equations is developed, with an emphasis on extending the classical conforming Galerkin formulations to nonconforming spectral elements. The new algorithm employs both the Constrained Approximation Method (CAM), and the Mortar Element Method (MEM) for p-and h-type nonconforming elements. Detailed descriptions, and formulation steps for both methods, as well as the performance comparisons between CAM and MEM, are presented. This study fills an important gap in the literature by providing a detailed e

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27

Siyahhan, Bercan. "A Two Dimensional Euler Flow Solver On Adaptive Cartesian Grids." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609482/index.pdf.

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In the thesis work, a code to solve the two dimensional compressible Euler equations for external flows around arbitrary geometries have been developed. A Cartesianmesh generator is incorporated to the solver. Hence the pre-processing can be performed together with the solution within a single code. The code is written in the C++ programming language and its object oriented capabilities have been exploited to save memory in the data structure developed. The Cartesian mesh is formed by dividing squares successively into its four quadrants. The main advantage of using this type of a mesh is the

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28

Buchmüller, Pawel [Verfasser], Christiane [Gutachter] Helzel, and James [Gutachter] Rossmanith. "High-Order WENO Finite Volume Methods on Cartesian Grids with Adaptive Mesh Refinement / Pawel Buchmüller ; Gutachter: Christiane Helzel, James Rossmanith." Düsseldorf : Universitäts- und Landesbibliothek der Heinrich-Heine-Universität Düsseldorf, 2017. http://d-nb.info/1124132775/34.

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29

Akdag, Osman. "Incompressible Flow Simulations Using Least Squares Spectral Element Method On Adaptively Refined Triangular Grids." Master's thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614944/index.pdf.

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The main purpose of this study is to develop a flow solver that employs triangular grids to solve two-dimensional, viscous, laminar, steady, incompressible flows. The flow solver is based on Least Squares Spectral Element Method (LSSEM). It has p-type adaptive mesh refinement/coarsening capability and supports p-type nonconforming element interfaces. To validate the developed flow solver several benchmark problems are studied and successful results are obtained. The performances of two different triangular nodal distributions, namely Lobatto distribution and Fekete distribution, are compared i

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30

Altaie, Huda. "Nouvelle technique de grilles imbriquées pour les équations de Saint-Venant 2D." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4220/document.

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Les écoulements en eau peu profonde se rencontrent dans de nombreuses situations d’intérêts : écoulements de rivières et dans les lacs, mais aussi dans les mers et océans (courants de marée, tsunami, etc.). Ils sont modélisés par un système d’équations aux dérivées partielles, où les inconnues sont la vitesse de l’écoulement et la hauteur d’eau. On peut supposer que la composante verticale de la vitesse est petite devant les composantes horizontales et que ces dernières sont indépendantes de la profondeur. Le modèle est alors donné par les équations de shallow water (SWEs). Cette thèse se conc

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31

Horstmann, Tobias. "Méthodes numériques hybrides basées sur une approche Boltzmann sur réseau en vue de l'application aux maillages non-uniformes." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSEC027/document.

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Malgré l'efficacité informatique et la faible dissipation numérique de la méthode de Boltzmann sur réseau (LBM) classique reposant sur un algorithme de propagation-collision, cette méthode est limitée aux maillages cartésiens uniformes. L'adaptation de l'étape de discrétisation à différentes échelles de la mécanique des fluides est généralement réalisée par des schémas LBM à échelles multiples, dans lesquels le domaine de calcul est décomposé en plusieurs sous-domaines uniformes avec différentes résolutions spatiales et temporelles. Pour des raisons de connectivité, le facteur de résolution de

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32

Hsu, Tzu-Yao, and 徐子堯. "Muti-Layered Grid Refinement for Flood Inundation Computations." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/61170195393764258226.

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碩士<br>國立臺灣大學<br>生物環境系統工程學研究所<br>102<br>Global climate change has been increasing rainfall intensity and variability. The heavy rainfall and the special physiography including steep slope and easy precipitation-driven causes severe damage in Taiwan. Therefore, an efficient and accurate inundation model is developed for generating the inundation information to provide policy decision and reduce flood damage. The digital terrain model (DTM) and geographic information system (GIS) are employed to deal with the data of model. However, the remote sensing technique has obviously improved the spatial

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Chou, Ya-Ta, and 鄒亞達. "The Boundary Treatment for Local Grid Refinement of Inundation Simulations." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/26002325507654509268.

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碩士<br>國立臺灣大學<br>生物環境系統工程學研究所<br>97<br>The meteorological and geographical conditions in Taiwan frequently cause inundation in the midstream and downstream floodplain when storm occurs. It usually takes losses of people’s wealth and life. Owing to the large amount computation requirements on the two-dimensional inundation simulation in large areas with fine resolution in dense population areas, the down-scale inundation simulation using local refinement grid at the dense population areas could save the time of model calculation. The main purpose of the study is to find a reasonable boundary

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34

Cheng, Chiao-Ling, and 鄭巧翎. "Minimized Disturbance Optimal Analysis and Grid Bin Size Refinement for HiBinLegalizer." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/07911933695905051886.

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碩士<br>國立交通大學<br>電信工程研究所<br>100<br>With semiconductor fabrication technology developing, millions of standard cells and macros (pre-designed blocks or intellectual property (IP)) are integrated into a single chip. Legalization procedure is part of placement design in physical design automation. For a legal placement, all elements (cells and macros) are non-overlapping and all cells must be aligns to row. In this paper, we based on a method, HiBinLegalizer, which was published in ASPDAC-2010, proposed the grid bin size refinement and proved the solver for the objective function is optimal soluti

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35

Wang, Ting Yao, and 汪廷曜. "Simulation of fluid flow with Lattice Boltzmann method and local grid refinement on GPU." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/48114169700198492890.

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碩士<br>國立清華大學<br>動力機械工程學系<br>104<br>In its original form, lattice Boltzmann method is based on regular lattices. However, in order to enhance resolution at high Reynolds number or capture vortices accurately, regular grid may not be sufficient. One of the approaches to overcome this problem is to adopt local grid refinement. In this thesis, local grid refinement using lattice Boltzmann method on GPU is developed. Single relaxation time and multi-relaxation time LBM model with locally refined grid are adopted to compute two dimensional lid driven cavity flow. For three dimensional cavity flow, s

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Zhou, You-Sheng, and 周祐陞. "Lattice Boltzmann simulations of turbulent channel flows with local grid refinement on multi-GPU cluster." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/23hygf.

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Tsai, Keng-Jung, and 蔡耿榕. "Simulation of channel flow with lattice Boltzmann method and local grid refinement on multi-GPU cluster." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/87z4c6.

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38

Goktas, Baris. "Development and application of a local grid refinement technique for accurate representation of cavity-completed wells in reservoir simulators." 1999. http://proquest.umi.com/pqdweb?did=729790821&sid=1&Fmt=2&clientld=9874&RQT=309&VName=PQD.

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鄭淵文. "Development of a Parallel adaptive Mesh Refinement Module for 3-D Unstructured Grid and Its Applications in DSMC Method." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/32npe6.

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40

Chi, Cheng. "An Improved Ghost-cell Immersed Boundary Method for Compressible Inviscid Flow Simulations." Thesis, 2015. http://hdl.handle.net/10754/554401.

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This study presents an improved ghost-cell immersed boundary approach to represent a solid body in compressible flow simulations. In contrast to the commonly used approaches, in the present work ghost cells are mirrored through the boundary described using a level-set method to farther image points, incorporating a higher-order extra/interpolation scheme for the ghost cell values. In addition, a shock sensor is in- troduced to deal with image points near the discontinuities in the flow field. Adaptive mesh refinement (AMR) is used to improve the representation of the geometry efficiently. The

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Ivan, Lucian. "Development of High-order CENO Finite-volume Schemes with Block-based Adaptive Mesh Refinement (AMR)." Thesis, 2011. http://hdl.handle.net/1807/29759.

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A high-order central essentially non-oscillatory (CENO) finite-volume scheme in combination with a block-based adaptive mesh refinement (AMR) algorithm is proposed for solution of hyperbolic and elliptic systems of conservation laws on body- fitted multi-block mesh. The spatial discretization of the hyperbolic (inviscid) terms is based on a hybrid solution reconstruction procedure that combines an unlimited high-order k-exact least-squares reconstruction technique following from a fixed central stencil with a monotonicity preserving limited piecewise linear reconstruction algorithm. The limit

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