Relevant bibliographies by topics / Grid refinement

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Grid refinement'

Author: Grafiati
Published: 7 June 2025
Last updated: 16 July 2025

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Journal articles on the topic "Grid refinement"

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Bey, J. "Tetrahedral grid refinement." Computing 55, no. 4 (1995): 355–78. http://dx.doi.org/10.1007/bf02238487.

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Zängl, Günther, Daniel Reinert, and Florian Prill. "Grid refinement in ICON v2.6.4." Geoscientific Model Development 15, no. 18 (2022): 7153–76. http://dx.doi.org/10.5194/gmd-15-7153-2022.

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Abstract. This article describes the implementation of grid refinement in the ICOsahedral Nonhydrostatic (ICON) modeling system. It basically follows the classical two-way nesting approach known from widely used mesoscale models like MM5 or WRF, but it differs in the way feedback from fine grids to coarser grids is applied. Moreover, the ICON implementation supports vertical nesting in the sense that the upper boundary of a nested domain may be lower than that of its parent domain. Compared to the well-established implementations on quadrilateral grids, new methods had to be developed for interpolating the lateral boundary conditions from the parent domain to the child domain(s). These are based on radial basis functions (RBFs) and partly apply direct reconstruction of the prognostic variables at the required grid points, whereas gradient-based extrapolation from parent to child grid points is used in other cases. The runtime flow control is written such that limited-area domains can be processed identically to nested domains except for the lateral boundary data supply. To demonstrate the functionality and quality of the grid nesting in ICON, idealized tests based on the Jablonowski–Williamson test case (Jablonowski and Williamson, 2006) and the Schär mountain wave test case (Schär et al., 2002) are presented. The results show that the numerical disturbances induced at the nest boundaries are small enough to be negligible for real applications. This is confirmed by experiments closely following the configuration used for operational numerical weather prediction at DWD, which demonstrate that a regional refinement over Europe has a significant positive impact on the forecast quality in the Northern Hemisphere.
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Bindle, Liam, Randall V. Martin, Matthew J. Cooper, et al. "Grid-stretching capability for the GEOS-Chem 13.0.0 atmospheric chemistry model." Geoscientific Model Development 14, no. 10 (2021): 5977–97. http://dx.doi.org/10.5194/gmd-14-5977-2021.

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Abstract. Modeling atmospheric chemistry at fine resolution globally is computationally expensive; the capability to focus on specific geographic regions using a multiscale grid is desirable. Here, we develop, validate, and demonstrate stretched grids in the GEOS-Chem atmospheric chemistry model in its high-performance implementation (GCHP). These multiscale grids are specified at runtime by four parameters that offer users nimble control of the region that is refined and the resolution of the refinement. We validate the stretched-grid simulation versus global cubed-sphere simulations. We demonstrate the operation and flexibility of stretched-grid simulations with two case studies that compare simulated tropospheric NO2 column densities from stretched-grid and cubed-sphere simulations to retrieved column densities from the TROPOspheric Monitoring Instrument (TROPOMI). The first case study uses a stretched grid with a broad refinement covering the contiguous US to produce simulated columns that perform similarly to a C180 (∼ 50 km) cubed-sphere simulation at less than one-ninth the computational expense. The second case study experiments with a large stretch factor for a global stretched-grid simulation with a highly localized refinement with ∼10 km resolution for California. We find that the refinement improves spatial agreement with TROPOMI columns compared to a C90 cubed-sphere simulation of comparable computational demands. Overall, we find that stretched grids in GEOS-Chem are a practical tool for fine-resolution regional- or continental-scale simulations of atmospheric chemistry. Stretched grids are available in GEOS-Chem version 13.0.0.
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Goodfriend, Elijah, Fotini Katopodes Chow, Marcos Vanella, and Elias Balaras. "Improving Large-Eddy Simulation of Neutral Boundary Layer Flow across Grid Interfaces." Monthly Weather Review 143, no. 8 (2015): 3310–26. http://dx.doi.org/10.1175/mwr-d-14-00392.1.

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Abstract Increasing computational power has enabled grid resolutions that support large-eddy simulation (LES) of the atmospheric boundary layer. These simulations often use grid nesting or adaptive mesh refinement to refine the grid in regions of interest. LES generates errors at grid refinement interfaces, such as resolved energy accumulation, that may compromise solution accuracy. In this paper, the authors test the ability of two LES formulations and turbulence closures to mitigate errors associated with the use of LES on nonuniform grids for a half-channel approximation to a neutral atmospheric boundary layer simulation. Idealized simulations are used to examine flow across coarse–fine and fine–coarse interfaces, as would occur in a two-way nested configuration or with block structured adaptive mesh refinement. Specifically, explicit filtering of the advection term and the mixed model are compared to a standard LES formulation with an eddy viscosity model. Errors due to grid interfaces are evaluated by comparison to uniform grid solutions. It is found that explicitly filtering the advection term provides significant benefits, in that it allows both mass and momentum to be conserved across grid refinement interfaces. The mixed model reduces unphysical perturbations generated by wave reflection at the interfaces. These results suggest that the choice of LES formulation and turbulence closure can be used to help control grid refinement interface errors in atmospheric boundary layer simulations.
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Dang, Hui Xue, Feng Li Yang, and Jing Bo Yang. "Grid Validations for Downburst Simulations." Applied Mechanics and Materials 249-250 (December 2012): 159–63. http://dx.doi.org/10.4028/www.scientific.net/amm.249-250.159.

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Downbursts, which resulted from the flow downdraft in thunderstorms, have become one of the most destructive disasters to buildings including transmission towers, etc. This disaster has drawn researchers’ interests and progresses have been continuously made by employing test and numerical tools. Accounting for the grid validations in the numerical simulation of downbursts, eight grids with different grid point distributions are generated, and then their corresponding flow fields are calculated by solving Navier-Stokes equations. The numerical results are compared with test results to investigate the influence of grid distributions onto numerical results. The results indicate that, numerical fidelity could be improved by refining grids in the zone with strong horizontal wind; while local grid refinement at inlet boundary could deteriorate numerical accuracy when the grid point number is kept constant, hence uniform grid distribution is recommended at inlet boundary without any grid refinement.
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Schmidt, Hauke, Sebastian Rast, Jiawei Bao, et al. "Effects of vertical grid spacing on the climate simulated in the ICON-Sapphire global storm-resolving model." Geoscientific Model Development 17, no. 4 (2024): 1563–84. http://dx.doi.org/10.5194/gmd-17-1563-2024.

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Abstract. Global storm-resolving models (GSRMs) use strongly refined horizontal grids compared with the climate models typically used in the Coupled Model Intercomparison Project (CMIP) but employ comparable vertical grid spacings. Here, we study how changes in the vertical grid spacing and adjustments to the integration time step affect the basic climate quantities simulated by the ICON-Sapphire atmospheric GSRM. Simulations are performed over a 45 d period for five different vertical grids with between 55 and 540 vertical layers and maximum tropospheric vertical grid spacings of between 800 and 50 m, respectively. The effects of changes in the vertical grid spacing are compared with the effects of reducing the horizontal grid spacing from 5 to 2.5 km. For most of the quantities considered, halving the vertical grid spacing has a smaller effect than halving the horizontal grid spacing, but it is not negligible. Each halving of the vertical grid spacing, along with the necessary reductions in time step length, increases cloud liquid water by about 7 %, compared with an approximate 16 % decrease for halving the horizontal grid spacing. The effect is due to both the vertical grid refinement and the time step reduction. There is no tendency toward convergence in the range of grid spacings tested here. The cloud ice amount also increases with a refinement in the vertical grid, but it is hardly affected by the time step length and does show a tendency to converge. While the effect on shortwave radiation is globally dominated by the altered reflection due to the change in the cloud liquid water content, the effect on longwave radiation is more difficult to interpret because changes in the cloud ice concentration and cloud fraction are anticorrelated in some regions. The simulations show that using a maximum tropospheric vertical grid spacing larger than 400 m would increase the truncation error strongly. Computing time investments in a further vertical grid refinement can affect the truncation errors of GSRMs similarly to comparable investments in horizontal refinement, because halving the vertical grid spacing is generally cheaper than halving the horizontal grid spacing. However, convergence of boundary layer cloud properties cannot be expected, even for the smallest maximum tropospheric grid spacing of 50 m used in this study.
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Düben, Peter D., and Peter Korn. "Atmosphere and Ocean Modeling on Grids of Variable Resolution—A 2D Case Study." Monthly Weather Review 142, no. 5 (2014): 1997–2017. http://dx.doi.org/10.1175/mwr-d-13-00217.1.

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Abstract Grids of variable resolution are of great interest in atmosphere and ocean modeling as they offer a route to higher local resolution and improved solutions. On the other hand there are changes in grid resolution considered to be problematic because of the errors they create between coarse and fine parts of a grid due to reflection and scattering of waves. On complex multidimensional domains these errors resist theoretical investigation and demand numerical experiments. With a low-order hybrid continuous/discontinuous finite-element model of the inviscid and viscous shallow-water equations a numerical study is carried out that investigates the influence of grid refinement on critical features such as wave propagation, turbulent cascades, and the representation of geostrophic balance. The refinement technique the authors use is static h refinement, where additional grid cells are inserted in regions of interest known a priori. The numerical tests include planar and spherical geometry as well as flows with boundaries and are chosen to address the impact of abrupt changes in resolution or the influence of the shape of the transition zone. For the specific finite-element model under investigation, the simulations suggest that grid refinement does not deteriorate geostrophic balance and turbulent cascades and the shape of mesh transition zones appears to be less important than expected. However, the results show that the static local refinement is able to reduce the local error, but not necessarily the global error and convergence properties with resolution are changed. The relatively simple tests already illustrate that grid refinement has to go along with a simultaneous change of the parameterization schemes.
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Cui, Weizhe, and Qichen Hao. "Comparing Q-Tree with Nested Grids for Simulating Managed River Recharge of Groundwater." Water 12, no. 12 (2020): 3516. http://dx.doi.org/10.3390/w12123516.

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The use of rivers to recharge groundwater is a key water resource management method. High-precision simulations of the groundwater level near rivers can be used to accurately assess the recharge effect. In this study, we used two unstructured grid refinement methods, namely, the quadtree (Q-tree) and nested grid refinement techniques, to simulate groundwater movement under river recharge. We comparatively analyzed the two refinement methods by considering the simulated groundwater level changes before and after the recharge at different distances from the river and by analyzing the groundwater flow and model computation efficiency. Compared to the unrefined model, the two unstructured grid refinement models significantly improve the simulation precision and more accurately describe groundwater level changes from river recharge. The unstructured grid refinement models have higher calculation efficiencies than the base model (the global refinement model) without compromising the simulation precision too much. The Q-tree model has a higher simulation precision and a lower computation time than the nested grid model. In summary, the Q-tree grid refinement method increases the computation efficiency while guaranteeing simulation precision at a certain extent. We therefore recommended the use of this grid refinement method in simulating river recharge to the aquifers.
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Chen, Tsu-Fen, and R. Kannan*. "GRID REFINEMENT AND NONLINEAR SOR." Numerical Functional Analysis and Optimization 22, no. 3-4 (2001): 387–403. http://dx.doi.org/10.1081/nfa-100105109.

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Gross, Sven, and Arnold Reusken. "Parallel Multilevel Tetrahedral Grid Refinement." SIAM Journal on Scientific Computing 26, no. 4 (2005): 1261–88. http://dx.doi.org/10.1137/s1064827503425237.

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Dissertations / Theses on the topic "Grid refinement"

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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 la prise en compte des effets du changement de maillage sur la performance du modèle. Cette thèse porte sur le développement du raffinement adaptatif de maillage basé sur du moyennage et son intégration dans le solveur fluide ISIS-CFD. Le but est d’obtenir un maillage adapté ayant une topologie globalement statique, qui suit les caractéristiques principales de l’écoulement. Premièrement, la dépendance des modèles hybrides RANS/LES par rapport aux modifications du maillage et l’effet d’une interface de raffinement sur la production et la destruction de turbulence sont étudiés. Ensuite, un moyennage en temps des solutions instantanées basé sur différents intervalles est effectué pour filtrer les fluctuations dans la solution moyenne, en fonction des fréquences caractéristiques de l’écoulement. Une procédure de raffinement est ensuite développée, basée sur deux stratégies de moyennage des critères de raffinement instantanés: le moyennage dans une fenêtre glissante et le moyennage sur la totalité du temps de calcul. Le processus d’adaptation proposé est évalué en effectuant une simulation DDES d’un navire en dérive, afin de reproduire la solution sur un maillage fin de référence. L’adaptation basée sur la moyenne réussit à reproduire les principales caractéristiques de l’écoulement et crée des maillages raffinés stables autour des tourbillons principaux. Ainsi, l’approche adaptative constitue une alternative au processus manuel de génération de maillage pour les simulations hybrides RANS/LES, en particulier avec des géométries complexes<br>Taking advantage of the capabilities of RANS and LES models, hybrid RANS/LES models are suitable for the simulation of high Reynolds number flow with complex physical phenomena and geometries. However, due to the dependency of the behavior of these models on the local grid size, the generation of mesh with the right resolution is crucial. For a complex hybrid RANS/LES simulation, the mesh generation is a time- and effort-consuming step. An adaptive refinement process is an attractive alternative, but requires the consideration of mesh change effects on the performance of the model. This thesis focuses on the development of adaptive grid refinement based on averaging and its integration in the ISISCFD flow solver. The aim is to obtain an adapted mesh whichhasagenerallystatictopologybasedonthemainflow features. First, the dependency of hybrid RANS/LES models on the mesh changes and the effect of a refinement interface on the turbulence production and destruction are considered. Then, time-averaging of the instantaneous solutions over various intervals is carried out to filter the flow fluctuations in the mean solution based on the frequencies of the flow features. A refinement procedure is then developed based on two averaging strategies over instantaneous refinement criteria: the sliding window averaging, and the averaging over the whole computational time. The proposed adaptation process is assessed by performing a DDES-based simulation of a ship in drift in order to reproduce the solution on a reference fine mesh. The average-based adaptation successfully follows the main flow features and creates stable refined grids around the main vortices. Thus, the adaptive approach can be an alternative for the manual mesh generation process of hybrid RANS/LES simulations, especially with complex geometries
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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 reduce the computational cost of peridynamic based software. Adaptive refinement/scaling is here applied to the study of dynamic crack propagation in brittle materials. Refinement is activated by using a new trigger concept based on the damage state of the material, coupled with the more traditional energy based trigger, already proposed in the literature. The use of a varying horizon and grid spacing over the grid may introduce some anomalies on the numerical peridynamic solution, such anomalies are investigated in detail through static and dynamic analyses. Moreover, while the scientific community is working to assess the full potential of peridynamics, few researchers have observed indirectly that the evolution of crack paths can follow, in an unphysical way, the axes of symmetry of the grid. The main parameter affecting such a numerical phenomenon seems to be the value of the m ratio, namely the ratio between the horizon and the grid spacing. The dependence of the crack path on the grid orientation would be a serious drawback for peridynamic based software since it would undermine what is believed to be one of its most important advantages over other computational methods, i.e. its capability to simulate (multiple) crack nucleation, propagation, branching and interaction in solids in a simple way. Finally, in order to show the effectiveness of the proposed approach, several examples of crack propagation in both 2D and 3D problems are presented. Then, the results obtained are compared with those obtained with other numerical methods and with experimental data.<br>La Peridynamica, una teoria non locale del continuo proposta recentemente, è particolarmente adatta a descrivere fenomeni di frattura in una vasta gamma di materiali. Una delle tecniche più comuni per la sua implementazione numerica è basata su un approccio senza mesh, in cui l'intero corpo viene discretizzato con una griglia uniforme e un orizzonte costante, essendo quest'ultimo in relazione con la lunghezza di scala del materiale e/o del fenomeno analizzato. Di conseguenza le risorse computazionali possono non essere utilizzate in modo efficiente. Il presente lavoro si propone di sviluppare gli algoritmi per l’implementazione dell’adaptive grid refinement and scaling per griglie peridinamiche 2D e 3D, con lo scopo di ridurre il costo computazionale dei software basati sulla peridynamica. Questo approccio viene applicato allo studio della propagazione dinamica di cricche in materiali fragili. Il refinement viene attivato utilizzando un nuovo concetto di “innesco” che si basa sullo stato di danneggiamento del materiale, accoppiato con il più tradizionale innesco basato su un criterio energetico, già proposto in letteratura. L' utilizzo di un orizzonte e di un passo di griglia variabile può introdurre nella soluzione numerica della peridynamica alcune anomalie, che vengono analizzate dettagliatamente tramite analisi statiche e dinamiche. Inoltre, mentre la maggior parte della comunità scientifica sta lavorando per valutare a pieno le potenzialità della peridynamica, solo alcuni ricercatori hanno osservato indirettamente come il percorso della cricca possa seguire, in modo chiaramente non realistico, gli assi di simmetria della griglia. Il principale parametro che influisce su tale comportamento sembra essere il valore assunto dal rapporto m, definito come il rapporto tra l'orizzonte e il passo della griglia. La dipendenza del percorso della cricca dall'orientamento della griglia sarebbe un grave ostacolo per lo sviluppo di un software basato sulla peridynamica, poiché ciò porterebbe a pregiudicare quella che si ritiene essere uno dei suoi vantaggi più importanti rispetto ad altri metodi di calcolo, ossia la sua capacità di simulare la nucleazione (anche multipla), la propagazione, la ramificazione e l’interazione di cricche in materiali solidi in modo semplice. Successivamente, al fine di dimostrare l'efficacia del metodo proposto, vengono presentati alcuni esempi di propagazione di cricche per problemi 2D e 3D. Infine, i risultati ottenuti sono confrontati con quelli ottenuti con altri metodi numerici e con dati sperimentali.
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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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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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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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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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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, most adaptive mesh generation algorithms employ a 3-refinement method. This method, although easy to employ, provides a mesh that is coarse in most areas and highly refined in other areas. Because a single refined hex is subdivided into 27 new hexes, regardless of the desired refinement, there is little control on mesh density. This paper will present an adaptive all-hexahedral grid-based meshing algorithm that employs a 2-refinement insertion method. 2-refinement is based on dividing a hex to be refined into eight new hexes. This allows greater control on mesh density which in turn increases computational efficiency.
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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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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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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 approximate Lyapunov functions, that satisfy equations for their orbital derivative, using the RBF collocation method. Then, it turns out that the RBF approximant itself is a Lyapunov function. Our main contributions to improve this method are firstly to combine this construction method with a new grid refinement algorithm based on Voronoi diagrams. Starting with a coarse grid and applying the refinement algorithm, we thus manage to reduce the number of collocation points needed to construct Lyapunov functions. Moreover, we design two modified refinement algorithms to deal with the issue of the early termination of the original refinement algorithm without constructing a Lyapunov function. These algorithms uses cluster centres to place points where the Voronoi vertices failed to do so. Secondly, we derive two verification estimates, in terms of the first and second derivatives of the orbital derivative, to verify if the constructed function, with either a regular grid of collocation points or with one of the refinement algorithms, is a Lyapunov function, i.e., has negative orbital derivative over a given compact set. Finally, the methods are applied to several numerical examples up to 3 dimensions.
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Books on the topic "Grid refinement"

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J, Barth Timothy, and Ames Research Center, eds. Three-dimensional unstructured grid refinement and optimization using edge swapping. National Aeronautics and Space Administration, Ames Research Center, 1993.

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J, Barth Timothy, and Ames Research Center, eds. Three-dimensional unstructured grid refinement and optimization using edge swapping. National Aeronautics and Space Administration, Ames Research Center, 1993.

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Timothy, Barth, and Ames Research Center, eds. Three-dimensional unstructured grid refinement and optimization using edge swapping. National Aeronautics and Space Administration, Ames Research Center, 1993.

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Baden, Scott B., Nikos P. Chrisochoides, Dennis B. Gannon, and Michael L. Norman, eds. Structured Adaptive Mesh Refinement (SAMR) Grid Methods. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1252-2.

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B, Baden Scott, ed. Structured adaptive mesh refinement (SAMR) grid methods. Springer, 2000.

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Baden, Scott B. Structured Adaptive Mesh Refinement (SAMR) Grid Methods. Springer New York, 2000.

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R, Hanebutte Ulf, and Langley Research Center, eds. A parallel adaptive mesh refinement algorithm. National Aeronautics and Space Administration, Langley Research Center, 1993.

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Institute for Computer Applications in Science and Engineering., ed. A Cartesian grid approach with hierarchical refinement for compressible flows. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Trompert, R. A. Local uniform grid refinement for time-dependent partial differential equations. Centrum voor Wiskunde en Informatica, 1995.

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A, Felippa Carlos, Park K. C, and United States. National Aeronautics and Space Administration., eds. Error estimation and adaptive mesh refinement for parallel analysis of shell structures. Dept. of Aerospace Engineering Sciences and Center for Aerospace Structures, University of Colorado, 1994.

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Book chapters on the topic "Grid refinement"

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Heinkenschloss, M., M. Laumen, and E. W. Sachs. "Gauss-Newton methods with grid refinement." In International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-6418-3_11.

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van Leeuwen, Tristan, and K. Joost Batenburg. "Adaptive Grid Refinement for Discrete Tomography." In Advanced Information Systems Engineering. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-319-09955-2_25.

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Tóth, Péter, and Máté Márton Lohász. "Anisotropic Grid Refinement Study for LES." In Quality and Reliability of Large-Eddy Simulations. Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8578-9_14.

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Wackers, Jeroen, Ganbo Deng, Emmanuel Guilmineau, Alban Leroyer, Patrick Queutey, and Michel Visonneau. "Creating Free-Surface Flow Grids with Automatic Grid Refinement." In New Challenges in Grid Generation and Adaptivity for Scientific Computing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-06053-8_15.

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Neeman, Henry. "HAMR: The Hierarchical Adaptive Mesh Refinement System." In Structured Adaptive Mesh Refinement (SAMR) Grid Methods. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1252-2_2.

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Mehrotra, Piyush. "Structured Adaptive Mesh Refinement using High Performance Fortran." In Structured Adaptive Mesh Refinement (SAMR) Grid Methods. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1252-2_6.

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Parashar, Manish, and James C. Browne. "Systems Engineering for High Performance Computing Software: The HDDA/DAGH Infrastructure for Implementation of Parallel Structured Adaptive Mesh." In Structured Adaptive Mesh Refinement (SAMR) Grid Methods. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1252-2_1.

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Bryan, Greg L., and Michael L. Norman. "A Hybrid AMR Application for Cosmology and Astrophysics." In Structured Adaptive Mesh Refinement (SAMR) Grid Methods. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1252-2_10.

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Quinlan, Dan. "AMR++: A Design for Parallel Object-Oriented Adaptive Mesh Refinement." In Structured Adaptive Mesh Refinement (SAMR) Grid Methods. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1252-2_3.

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Michalakes, John G. "RSL: A Parallel Runtime System Library for Regional Atmospheric Models with Nesting." In Structured Adaptive Mesh Refinement (SAMR) Grid Methods. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1252-2_4.

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Conference papers on the topic "Grid refinement"

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Shan, Yaru, Akram Shafie, Jinhong Yuan, and Fanggang Wang. "Off-Grid Channel Estimation Using Grid Refinement and Adjustment for ODDM Systems." In 2024 IEEE International Conference on Communications Workshops (ICC Workshops). IEEE, 2024. http://dx.doi.org/10.1109/iccworkshops59551.2024.10615618.

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Qiu, Wenfeng, Chihao Ma, Jianhua Li, ren qian, and Yong Zhao. "Learnable upsampling bilateral grid refinement for stereo matching network." In Fourth International Conference on Advanced Algorithms and Neural Networks (AANN 2024), edited by Qinghua Lu and Weishan Zhang. SPIE, 2024. http://dx.doi.org/10.1117/12.3050134.

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M. Cheshire, I., and A. Renriquez. "Local Grid Refinement." In ECMOR I - 1st European Conference on the Mathematics of Oil Recovery. European Association of Geoscientists & Engineers, 1989. http://dx.doi.org/10.3997/2214-4609.201411317.

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Ewing, R. E., and R. D. Lazarov. "Adaptive Local Grid Refinement." In SPE Rocky Mountain Regional Meeting. Society of Petroleum Engineers, 1988. http://dx.doi.org/10.2118/17806-ms.

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Ghosh, S. "Curvilinear Local Grid Refinement." In European Petroleum Conference. Society of Petroleum Engineers, 1998. http://dx.doi.org/10.2118/50633-ms.

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Li, Junchao, Huiying Tang, Yongbin Zhang, and Xin Li. "An Adaptive Grid Refinement Method for Flow-Based Embedded Discrete Fracture Models." In SPE Reservoir Simulation Conference. SPE, 2023. http://dx.doi.org/10.2118/212194-ms.

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Abstract Projection-based embedded discrete fracture models (pEDFMs) are proven effective for modeling flow barrier effects of high-conductivity or impermeable fractures. However, local grid refinements are still needed to improve the accuracy of simulation in flow areas near fractures. In recent years, adaptive grid refinement techniques have received a lot of attention for dealing with highly heterogeneous and fractured models. But few of them are capable of EDFMs. In this paper, an adaptive grid refinement method under flow-based EDFMs (fEDFMs) is proposed for fractured models. The method starts from an fEDFM model which is built by a new technique of transmissibility modification by introducing an artificial pseudo-steady flow near fractures. Adaptive grid refinement and coarsening procedures are designed under an adaptive criterion based on both the fracture distribution and flow solutions. A flow-based upscaling procedure is adopted to form transmissibilities of the hybrid grids and the solution is mapped from the former grid system. The adaptive grid refinement method is applied in a validation case and a real field case, respectively. In each case, comparisons are made between the simulation results of the proposed adaptive grid refinement models and traditional uniform pEDFMs. Besides, comparisons are also made with the overall fine-scale models which serve as the reference models. The comparisons show that the numerical results of the proposed models have a better match to that of the reference models. And it is proven that the approach is more robust when applied to more general flow scenarios with extremely high or completely sealed fractures which could have a great impact on the flow. The proposed method aims to improve the accuracy of numerical simulation for fractured reservoirs.
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Kumar, Ashok V., and Ravi K. Burla. "Local Hierarchical Grid Refinement for Analysis Using Structured Grids." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87564.

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Structured grids with regular shaped uniform elements are easy to generate automatically and have been used in extended finite element approaches to avoid mesh generation difficulties. But the grid or mesh should ideally have higher resolution in areas where the solution has large gradients. In this paper a technique for refinement of structured grids is presented that allows refinement of the grid without violating compatibility requirements by using solution structures constructed using approximate step functions. Essential boundary conditions are applied using implicit boundary method, which allows boundary conditions to be imposed even when there are no nodes on the boundary. This grid refinement technique is evaluated using two dimensional elasticity problems that involve stress concentration.
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van der Plas, Peter, Arthur E. P. Veldman, Henk Seubers, Joop Helder, and Ka-Wing Lam. "Adaptive Grid Refinement for Two-Phase Offshore Applications." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77309.

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In the past, the CFD simulation method ComFLOW has been successfully applied in a wide range of offshore applications, involving wave simulations and impact calculations. In many of these calculations the area of interest comprises a small part of the domain and remains fixed in time, which allows for efficient grid refinement by means of grid stretching or static local refinement. However, when trying to accurately resolve the surface dynamics and kinematics of irregular and breaking waves, the resolution requirements are strongly time-dependent and difficult to predict in advance. Efficient grids can only be obtained by means of time-adaptive refinement. A Cartesian block-based refinement approach is followed which allows for efficient grid adaptation, with moderate overhead. An array-based data structure is employed which exploits the semi-structured nature of the Cartesian block grid. Currently we are testing the method with the simulation of lifeboat drops in regular and irregular wave conditions. This poses several challenges such as accurately imposing the incoming waves and modifying the absorbing boundary conditions to support two-phase flow. To reduce the wall-clock time, the simulation method has been parallelized.
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Kamkar, Sean, Antony Jameson, and Andrew Wissink. "Automated Grid Refinement Using Feature Detection." In 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition. American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-1496.

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Thibaut, M., Y. Caillabet, and E. Flauraud. "Local Grid Refinement for Basin Models." In 66th EAGE Conference & Exhibition. European Association of Geoscientists & Engineers, 2004. http://dx.doi.org/10.3997/2214-4609-pdb.3.f005.

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Reports on the topic "Grid refinement"

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Garcia, Julio, and Karsten Pruess. Local grid refinement for multi-scale geothermal reservoir simulation with TOUGH2. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/764389.

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S.C. James, J.E. Dickinson, S.W. Mehl, et al. NEW GHOST-NODE METHOD FOR LINKING DIFFERENT MODELS WITH VARIED GRID REFINEMENT. Office of Scientific and Technical Information (OSTI), 2006. http://dx.doi.org/10.2172/884895.

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J. dickinson, S.C. James, S. Mehl, M.C. Hill, S. Leake, and G.A. Zyvoloski. A NEW GHOST-NODE METHOD FOR LINKING DIFFERENT MODELS WITH VARIED GRID REFINEMENT. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/884931.

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Prusa, Joseph. COLLABORATIVE RESEARCH: CONTINUOUS DYNAMIC GRID ADAPTATION IN A GLOBAL ATMOSPHERIC MODEL: APPLICATION AND REFINEMENT. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1043034.

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Gutowski, William J., Joseph M. Prusa, and Piotr K. Smolarkiewicz. COLLABORATIVE RESEARCH: CONTINUOUS DYNAMIC GRID ADAPTATION IN A GLOBAL ATMOSPHERIC MODEL: APPLICATION AND REFINEMENT. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1043077.

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William J. Gutowski and Piotr K. Smolarkiewicz Joseph M. Prusa. Scientific Final Report: COLLABORATIVE RESEARCH: CONTINUOUS DYNAMIC GRID ADAPTATION IN A GLOBAL ATMOSPHERIC MODEL: APPLICATION AND REFINEMENT. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1038042.

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Quinlan, D. J., J. E. ,. Jr Dendy, and Y. Shapira. Elliptic Solvers for Adaptive Mesh Refinement Grids. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/763231.

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STAGG, A., J. HALLBERG, and J. SCHMIDT. A PARALLEL, ADAPTIVE REFINEMENT SCHEME FOR TETRAHEDRAL AND TRIANGULAR GRIDS. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/787306.

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Feeley, Michael, Marilyn Brandt, David Bryan, et al. A cooperative multiagency reef fish monitoring protocol for the Florida and US Virgin Islands coral reef ecosystems: Protocol narrative version—2.0. National Park Service, 2025. https://doi.org/10.36967/2310167.

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Reef fish populations play a vital ecological and economic role in the coral reef ecosystems of Florida and the U.S. Virgin Islands (USVI). However, these populations face significant threats from habitat degradation, rising global temperature, coral diseases, and increased fishing pressures. Traditional fishery-dependent data have proven inadequate for accurately assessing reef fish populations, necessitating the development of standardized, fishery-independent methodology. This document presents the Cooperative Multiagency Reef Fish Monitoring Protocol, a unified methodology designed to assess reef fish populations through visual census techniques. The protocol represents the consolidation of two distinct monitoring programs in Florida and the U.S. Virgin Islands, refining over 40 years of research and survey design improvements. Utilizing a single-stage stratified random sampling design, this methodology optimizes data collection by segmenting survey areas into 50 × 50 meter (164 × 164 feet) grid cells based on habitat type, depth, and management status. Surveys are conducted by region biennially using the Reef Visual Census (RVC) stationary point count method, which allows divers to record fish abundance, size structure, and habitat characteristics efficiently. Key objectives of the monitoring protocol include tracking relative fish densities, spatial distributions and size structures of both target and non-target species. The protocol also facilitates the evaluation of marine protected areas (MPAs) and other fishery management regulations. Data collected contribute to understanding sustainable fisheries management and conservation efforts and the impacts of environmental stressors and human activities. Findings from previous surveys indicate significant declines in economically important species such as snappers and groupers due to overfishing and habitat loss. Additionally, factors such as coral bleaching, hurricanes, invasive species (e.g., lionfish), and coastal development have altered reef fish communities. By standardizing monitoring efforts, this protocol provides robust, comparable data that inform fishery stock assessments, regulatory changes, and adaptive management strategies. This initiative is a collaborative effort among federal and territorial agencies, academic institutions, and conservation organizations, including the National Oceanic and Atmospheric Administration (NOAA), the University of Miami, the National Park Service (NPS), and the Florida Fish and Wildlife Conservation Commission (FWC). NOAA serves as the data management and survey design lead, ensuring data integrity and accessibility for research and policy applications. As reef ecosystems continue to face ecological challenges, this protocol remains essential for guiding effective conservation and management decisions. Ongoing refinements in methodology, expansion into deeper reef habitats, and integration of advanced data collection technologies will further enhance monitoring efforts, ultimately contributing to the long-term sustainability of reef fish populations and their ecosystems.
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