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Relevant bibliographies by topics / Numerical grid methods

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Academic literature on the topic 'Numerical grid methods'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Numerical grid methods"

1

El-Sherbiny, Aisha, and Raymond A. Poirier. "Comprehensive study of some well-known molecular numerical integration methods." Canadian Journal of Chemistry 87, no. 10 (2009): 1313–21. http://dx.doi.org/10.1139/v09-090.

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In a previous study, we compared, both in terms of accuracy and efficiency, the performance of some of the well-known grids, which use the Becke partitioning scheme for molecular numerical integration. We concluded, based on the number of electrons only, that the MultiExp grid performed well compared with the grids proposed by Becke, Gill et al., and Treutler and Ahlrichs. In this work, we re-examine the performance of the same set of grids in addition to the SG-0 grid and a benchmark grid. These grids are evaluated by integrating the Hartree–Fock electron density to calculate the number of el

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Leyk, Zbigniew, Aleksandr A. Samarskii, Evgenii S. Nikolaev, and Stephen G. Nash. "Numerical Methods for Grid Equations: Vol. I, Direct Methods." Mathematics of Computation 55, no. 192 (1990): 867. http://dx.doi.org/10.2307/2008453.

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Beyn, W. J., and J. Rieger. "Numerical fixed grid methods for differential inclusions." Computing 81, no. 1 (2007): 91–106. http://dx.doi.org/10.1007/s00607-007-0240-4.

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Henshaw, William D. "Automatic grid generation." Acta Numerica 5 (January 1996): 121–48. http://dx.doi.org/10.1017/s0962492900002634.

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Current methods for the automatic generation of grids are reviewed. The approaches to grid generation that are discussed include Cartesian, multi-block-structured, overlapping and unstructured. Emphasis is placed on those methods that can create high-quality grids appropriate for the solution of equations of a hyperbolic nature, such as those that arise in fluid dynamics. Numerous figures illustrate the different grid generation techniques.

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Ratas, Mart, Andrus Salupere, and Jüri Majak. "SOLVING NONLINEAR PDES USING THE HIGHER ORDER HAAR WAVELET METHOD ON NONUNIFORM AND ADAPTIVE GRIDS." Mathematical Modelling and Analysis 26, no. 1 (2021): 147–69. http://dx.doi.org/10.3846/mma.2021.12920.

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The higher order Haar wavelet method (HOHWM) is used with a nonuniform grid to solve nonlinear partial differential equations numerically. The Burgers’ equation, the Korteweg–de Vries equation, the modified Korteweg–de Vries equation and the sine–Gordon equation are used as model equations. Adaptive as well as nonadaptive nonuniform grids are developed and used to solve the model equations numerically. The numerical results are compared to the known analytical solutions as well as to the numerical solutions obtained by application of the HOHWM on a uniform grid. The proposed methods of using n

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Frediani, Luca, and Dage Sundholm. "Real-space numerical grid methods in quantum chemistry." Physical Chemistry Chemical Physics 17, no. 47 (2015): 31357–59. http://dx.doi.org/10.1039/c5cp90198g.

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Lee, Barry, Stephen F. McCormick, Bobby Philip, and Daniel J. Quinlan. "Asynchronous Fast Adaptive Composite-Grid Methods: Numerical Results." SIAM Journal on Scientific Computing 25, no. 2 (2003): 682–700. http://dx.doi.org/10.1137/s1064827502407536.

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Löhner, Rainald, Joseph D. Baum, Eric Mestreau, Dmitri Sharov, Charles Charman, and Daniele Pelessone. "Adaptive embedded unstructured grid methods." International Journal for Numerical Methods in Engineering 60, no. 3 (2004): 641–60. http://dx.doi.org/10.1002/nme.978.

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GUSTAFSSON, BERTIL. "Analysis and Methods in Fluid Mechanics." International Journal of Modern Physics C 02, no. 01 (1991): 75–85. http://dx.doi.org/10.1142/s0129183191000093.

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When constructing numerical methods for partial differential equations, it is important to have a thorough understanding of the continuous model and the characteristic properties of its solutions. We shall present methods of analysis for determining well-posedness of hyperbolic and mixed hyperbolic-parabolic équations which are applicable to the time-dependent Euler and Navier-Stokes equations. We shall then discuss difference- and finite volume methods and the construction of grids. The geometry of realistic problems is usually such that it is almost impossible to construct one structured gri

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Miura, Hiroaki, and Masahide Kimoto. "A Comparison of Grid Quality of Optimized Spherical Hexagonal–Pentagonal Geodesic Grids." Monthly Weather Review 133, no. 10 (2005): 2817–33. http://dx.doi.org/10.1175/mwr2991.1.

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Abstract Construction and optimization methods of spherical hexagonal–pentagonal geodesic grids are investigated. The objective is to compare grid structures on common ground. The distinction between two types of hexagonal–pentagonal grids is made. Three conventional grid optimization methods are summarized. In addition, three new optimization methods are proposed. Six desirable conditions for an ideal grid are described, and the grid optimization methods are organized in view of such conditions. Interval uniformity, area uniformity, isotropy, and bisection of cell faces are systematically inv

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Dissertations / Theses on the topic "Numerical grid methods"

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Kozdon, Jeremy Edward. "Numerical methods with reduced grid dependency for enhanced oil recovery /." May be available electronically:, 2009. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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Acikgoz, Nazmiye. "Adaptive and Dynamic Meshing Methods for Numerical Simulations." Diss., Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/14521.

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For the numerical simulation of many problems of engineering interest, it is desirable to have an automated mesh adaption tool. This is important especially for problems characterized by anisotropic features and require mesh clustering in the direction of high gradients. Another significant issue in meshing emerges in unsteady simulations with moving boundaries, where the boundary motion has to be accommodated by deforming the computational grid. Similarly, there exist problems where current mesh needs to be adapted to get more accurate solutions. To solve these problems, we propose three nove

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Cavallo, Peter Angelo Cernansky N. P. "Automated parallel mesh adaptation methods for transient flowfield analyses with fixed or moving boundaries /." Philadelphia, Pa. : Drexel University, 2006. http://dspace.library.drexel.edu/handle/1860/750.

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Balsubramanian, Ravishankar. "Error estimation and grid adaptation for functional outputs using discrete-adjoint sensitivity analysis." Master's thesis, Mississippi State : Mississippi State University, 2002. http://library.msstate.edu/etd/show.asp?etd=etd-10032002-113749.

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Howe, Bill. "Gridfields: Model-Driven Data Transformation in the Physical Sciences." PDXScholar, 2006. https://pdxscholar.library.pdx.edu/open_access_etds/2676.

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Scientists' ability to generate and store simulation results is outpacing their ability to analyze them via ad hoc programs. We observe that these programs exhibit an algebraic structure that can be used to facilitate reasoning and improve performance. In this dissertation, we present a formal data model that exposes this algebraic structure, then implement the model, evaluate it, and use it to express, optimize, and reason about data transformations in a variety of scientific domains. Simulation results are defined over a logical grid structure that allows a continuous domain to be represente

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Sergiievskyi, Volodymyr. "Modelling of solvation thermodynamics using a combination of reference intercation site model theory and multi-grid numerical methods." Thesis, University of Strathclyde, 2012. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=18926.

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Solvation Free Energy (SFE) is a fundamental quantity in chemical physics. It describes solvation behavior of substances in liquid media and has many important applications in solution chemistry, biophysics, pharmaceutics, medicine, and environmental sciences. In many applications (for example, screening of drug-candidate databases in a drug-discovery process) it is important to have a fast and accurate method for solvation free energy calculation. In this thesis two new methods for fast and accurate SFE calculations are proposed. The methods combine the theoretical basis of the integral equat

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Vanharen, Julien. "High-order numerical methods for unsteady flows around complex geometries." Phd thesis, Toulouse, INPT, 2017. http://oatao.univ-toulouse.fr/17967/1/vanharen.pdf.

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This work deals with high-order numerical methods for unsteady flows around complex geometries. In order to cope with the low-order industrial Finite Volume Method, the proposed technique consists in computing on structured and unstructured zones with their associated schemes: this is called a hybrid approach. Structured and unstructured meshes are then coupled by a nonconforming grid interface. The latter is analyzed in details with special focus on unsteady flows. It is shown that a dedicated treatment at the interface avoids the reflection of spurious waves. Moreover, this hybrid approach i

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Napov, Artem. "Algebraic analysis of V-cycle multigrid and aggregation-based two-grid methods." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210175.

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This thesis treats two essentially different subjects: V-cycle schemes are considered in Chapters 2-4, whereas the aggregation-based coarsening is analysed in Chapters 5-6. As a matter of paradox, these two multigrid ingredients, when combined together, can hardly lead to an optimal algorithm. Indeed, a V-cycle needs more accurate prolongations than the simple piecewise-constant one, associated to aggregation-based coarsening. On the other hand, aggregation-based approaches use almost exclusively piecewise constant prolongations, and therefore need more involved cycling strategies, K-cycle <a

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Legrand, Nicolas. "Numerical and modeling methods for multi-level large eddy simulations of turbulent flows in complex geometries." Thesis, Normandie, 2017. http://www.theses.fr/2017NORMIR16/document.

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La simulation aux grandes échelles est devenue un outil d’analyse incontournable pour l’étude des écoulements turbulents dans des géométries complexes. Cependant, à cause de l’augmentation constante des ressources de calcul, le traitement des grandes quantités de données générées par les simulations hautement résolues est devenu un véritable défi qu’il n’est plus possible de relever avec des outils traditionnels. En mécanique des fluides numérique, cette problématique émergente soulève les mêmes questions que celles communément rencontrées en informatique avec des données massives. A ce sujet,

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Haselbacher, Andreas C. "A grid-transparent numerical method for compressible viscous flows on mixed unstructured grids." Thesis, Loughborough University, 1999. https://dspace.lboro.ac.uk/2134/7257.

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The goal of the present work is the development of a numerical method for compressible viscous flows on mixed unstructured grids. The discretisation is based on a vertex-centred finite-volume method. The concept of grid transparency is developed as a framework for the discretisation on mixed unstructured grids. A grid-transparent method does not require information on the cell types. For this reason, the numerical method developed in the present work can be applied to triangular, quadrilateral, and mixed grids without modification. The inviscid fluxes are discretised using the approximate Riem

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Books on the topic "Numerical grid methods"

1

Liseĭkin, V. D. Grid generation methods. Springer, 1999.

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Samarskiĭ, A. A. Numerical methods for grid equations. Birkhäuser Verlag, 1989.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9272-8.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9142-4.

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5

Multi-grid methods and applications. Springer-Verlag, 1985.

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6

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

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Nguyen, Hung Lee. On the applications of algebraic grid generation methods based on transfinite interpolation. National Aeronautics and Space Administration, 1989.

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M, Price John. Adaptive computational methods for aerothermal heating analysis. National Aeronautics and Space Administration, Langley Research Center, 1988.

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9

Cerjan, Charles, ed. Numerical Grid Methods and Their Application to Schrödinger’s Equation. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8240-7.

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World Conference on Boundary Elements and Other Mesh Reduction Methods (31st 2009 Wessex Institute of Technology). Mesh reduction methods: BEM/MRM XXXI. Edited by Brebbia C. A. WIT, 2009.

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Book chapters on the topic "Numerical grid methods"

1

Taylor, K. T., J. S. Parker, D. Dundas, et al. "Numerical Grid Methods." In Many-Particle Quantum Dynamics in Atomic and Molecular Fragmentation. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-08492-2_9.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "Triangular Iterative Methods." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9142-4_5.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "Two-Level Iterative Methods." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9142-4_2.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "Three-Level Iterative Methods." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9142-4_3.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "Iterative Methods of Variational Type." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9142-4_4.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "The Elimination Method." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9272-8_2.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "The Mathematical Theory of Iterative Methods." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9142-4_1.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "Direct Methods for Solving Difference Equations." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9272-8_1.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "The Alternate-Triangular Method." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9142-4_6.

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Samarskii, Aleksandr A., and Evgenii S. Nikolaev. "The Alternating-Directions Method." In Numerical Methods for Grid Equations. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9142-4_7.

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Conference papers on the topic "Numerical grid methods"

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Kuzmin, Victor Yu, Andrey K. Gorshenin, Dmitry S. Ostroumov, and Marina G. Uglitskaya. "Application of GPU and parallel programming on grid methods." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912510.

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Chiappini, D., and A. Donno. "A comparison between different fractal grid generation methods coupled with lattice Boltzmann approach." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4952042.

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Guo, Bingjie, and Sverre Steen. "Comparison of Numerical Methods for Wave Generation by VOF-Based Numerical Wave Tank." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49777.

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Based on the Reyonlds Averaged Navier-Stokes (RANS) equation for incompressible, viscous fluid, a VOF-based numerical wave tank which could accurately generate and absorb waves is investigated. Three different wave-making functions, namely ‘Inlet-velocity boundary condition (IBC)’, ‘Momentum source (MOS)’, ‘Mass source (MAS)’ are investigated, and the advantage of each method is analyzed to guide an optimal selection of these functions. Moreover, the effects of viscous model, grid size, time step, and discretization method on the accuracy of the wave simulation are discussed. The interaction b

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Sang, Wei, and Feng Li. "Numerical Simulations for Transport Aircraft High-Lift Configurations Using Adaptive Cartesian Grid Methods." In 23rd AIAA Applied Aerodynamics Conference. American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-4965.

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Schmidt, G. H., and F. J. Jacobs. "Adaptive Local Mesh Refinement and Multi-Grid Solution Methods in Numerical Reservoir Simulation." In Mathematics in Oil Production. European Association of Geoscientists & Engineers, 1987. http://dx.doi.org/10.3997/2214-4609-pdb.235.011.

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Molinar, Gabriela, Johannes Bassler, Nicholas Popovic, and Wilhelm Stork. "Ampacity forecasting from Numerical Weather Predictions: a fusion of the traditional and machine learning methods." In 2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe). IEEE, 2020. http://dx.doi.org/10.1109/isgt-europe47291.2020.9248877.

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Conrad, Daniel, Andreas Schneider, and Martin Böhle. "Numerical Investigation of an Extended Propeller Viscosimeter by Means of Lattice Boltzmann Methods." In ASME 2013 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fedsm2013-16361.

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For the design of mixing and agitation facilities in process engineering it is of central importance to appraise the correct viscosity of fluids. This can be a challenging task when non-Newtonian and/or non-homogeneous fluids need to be processed. Since it is not always possible to analyze them in the classical ways, an propeller viscosimeter approach on the basis of the Rieger-Novak-Method is used. In recent years the Lattice Boltzmann Methods (LBM) are established as an alternative approach to classical computational fluid mechanics methods. The utilization of Cartesian grids avoids the need

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Cinnella, P., P. De Palma, G. Pascazio, and M. Napolitano. "A Numerical Method for Turbomachinery Aeroelasticity." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30321.

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This work provides an accurate and efficient numerical method for turbomachinery flutter. The unsteady Euler or Reynolds-averaged Navier–Stokes (RANS) equations are solved in integral form, the blade passages being discretised using a background fixed C-grid and a body-fitted C-grid moving with the blade. In the overlapping region data are exchanged between the two grids at every time step, using bilinear interpolation. The method employs Roe’s second-order-accurate flux difference splitting scheme for the inviscid fluxes, a standard second-order discretisation of the viscous terms, and a thre

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Makida, Mitsumasa, Naoki Nakamura, and Osamu Nozaki. "Utilization of Cold-Flow Numerical Simulation With Overset Grid Method in Development Process of Aeroengine Combustor." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-23089.

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In the TechCLEAN project of JAXA, a combustor for a small aircraft engine has been developed. The combustor was tuned to show the behavior of the Rich-Lean combustion through combustion tests under atmospheric and practical conditions. In the development process of the combustor, numerical simulation methods were also utilized as analysis tools to accelerate the development of the combustor. To use in the screening process of the combustor design, we focused on cost-effective simulation methods and adopted the cold-flow RANS simulation code UPACS which has been developed in JAXA. And to simpli

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Windt, Christian, Josh Davidson, Benazzou Akram, and John V. Ringwood. "Performance Assessment of the Overset Grid Method for Numerical Wave Tank Experiments in the OpenFOAM Environment." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77564.

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To maximise the energy output of wave energy converters (WECs), large structural motions are desired. When simulating WEC performance in Computational Fluid Dynamics (CFD) based numerical wave tanks, these motions must be explicitly accommodated in the computational domain. Using well established mesh morphing (MM) methods, this explicit accommodation results in deformation of control volumes (CVs)/mesh. Thus, large amplitude WEC oscillations may lead to highly distorted CVs and push MM models beyond the limits of numerical stability. While advanced numerical mesh motion methods, such as overs

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Reports on the topic "Numerical grid methods"

1

Manke, J. A tensor product B-spline method for numerical grid generation. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5005256.

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Chern, I.-Liang. A control volume method on an icosahedral grid for numerical integration of the shallow-water equations on the sphere. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10173320.

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Hogan, R., B. Blackwell, and R. Cochran. Numerical solution of two-dimensional ablation problems using the finite control volume method with unstructured grids. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10166271.

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