Algebraic Multigrid For Stabilized Finite Element Discretizations Of The Navier Stokes Equation

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Algebraic Multigrid for Stabilized Finite Element Discretizations of the Navier Stokes Equation

Author : Tolulope Olawale Okusanya
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (512 download)

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Book Synopsis Algebraic Multigrid for Stabilized Finite Element Discretizations of the Navier Stokes Equation by : Tolulope Olawale Okusanya

Download or read book Algebraic Multigrid for Stabilized Finite Element Discretizations of the Navier Stokes Equation written by Tolulope Olawale Okusanya and published by . This book was released on 2002 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: A multilevel method for the solution of systems of equations generated by stabilized Finite Element discretizations of the Euler and Navier Stokes equations on generalized unstructured grids is described. The method is based on an elemental agglomeration multigrid which produces a hierarchical sequence of coarse subspaces. Linear combinations of the basis functions from a given space form the next subspace and the use of the Galerkin Coarse Grid Approximation (GCA) within an Algebraic Multigrid (AMG) context properly defines the hierarchical sequence. The multigrid coarse spaces constructed by the elemental agglomeration algorithm are based on a semi-coarsening scheme designed to reduce grid anisotropy. The multigrid transfer operators are induced by the graph of the coarse space mesh and proper consideration is given to the boundary conditions for an accurate representation of the coarse space operators. A generalized line implicit relaxation scheme is also described where the lines are constructed to follow the direction of strongest coupling. The solution algorithm is motivated by the decomposition of the system characteristics into acoustic and convective modes. Analysis of the application of elemental agglomeration AMG (AMGe) to stabilized numerical schemes shows that a characteristic length based rescaling of the numerical stabilization is necessary for a consistent multigrid representation.

A geometric multigrid method for space-time finite element discretizations of the Navier-Stokes equations and its application to 3d flow simulation

Download A geometric multigrid method for space-time finite element discretizations of the Navier-Stokes equations and its application to 3d flow simulation PDF Online Free

Author : Mathias Anselmann
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis A geometric multigrid method for space-time finite element discretizations of the Navier-Stokes equations and its application to 3d flow simulation by : Mathias Anselmann

Download or read book A geometric multigrid method for space-time finite element discretizations of the Navier-Stokes equations and its application to 3d flow simulation written by Mathias Anselmann and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multigrid Methods V

Author : Wolfgang Hackbusch
Publisher : Springer Science & Business Media
ISBN 13 : 3642587348
Total Pages : 344 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Multigrid Methods V by : Wolfgang Hackbusch

Download or read book Multigrid Methods V written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection from the papers presented at the Fifth European Multigrid Conference, held in Stuttgart, October 1996. All contributions were carefully refereed. The conference was organized by the Institute for Computer Applications (ICA) of the University of Stuttgart, in cooperation with the GAMM Committee for Scientific Computing, SFB 359 and 404 and the research network WiR Ba-Wü. The list of topics contained lectures on Multigrid Methods: robustness, adaptivity, wavelets, parallelization, application in computational fluid dynamics, porous media flow, optimisation and computational mechanics. A considerable part of the talks focused on algebraic multigrid methods.

Algebraic Multigrid for the Multi-ion Transport and Reaction Model

Author : Peter Thum
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832532854
Total Pages : 229 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Algebraic Multigrid for the Multi-ion Transport and Reaction Model by : Peter Thum

Download or read book Algebraic Multigrid for the Multi-ion Transport and Reaction Model written by Peter Thum and published by Logos Verlag Berlin GmbH. This book was released on 2012 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Das Multi-Ionen Transport und Reaktionsmodell wird fur die Simulation von elektrochemischen Prozessen eingesetzt. Das durch das Modell gegebene System partieller Differentialgleichungen (PDE) wird mit Hilfe einer gemischten Residuen-Distribution und Finiten Elemente Methode diskretisiert und mit dem Newton Verfahren linearisiert. Dabei entstehen eine Reihe linearer Gleichungssyteme.Die Dissertation beschreibt ein physikalisch orientiertes algebraisches Mehrgitterverfahren, welches zur effizienten und robusten Losung dieser linearen Gleichungssyteme eingesetzt werden kann. Insbesondere wird auf die Reihenfolge der Variablen und deren Wirkung auf das Glattungsverhalten eingegangen. Bei der Konstruktion der Grobgitterkorrektur werden Aspekte wie eine verletzte Peclet Bedingung und die Nichtlinearitat des PDE Systems beachtet.

Multigrid Methods

Author : Stephen F. McCormick
Publisher : SIAM
ISBN 13 : 1611971055
Total Pages : 292 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Multigrid Methods by : Stephen F. McCormick

Download or read book Multigrid Methods written by Stephen F. McCormick and published by SIAM. This book was released on 1987-12-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.

Adaptive Discretization of the Navier-Stokes Equations by Stabilized Finite Element Methods

Author : Stefano Berrone
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (247 download)

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Book Synopsis Adaptive Discretization of the Navier-Stokes Equations by Stabilized Finite Element Methods by : Stefano Berrone

Download or read book Adaptive Discretization of the Navier-Stokes Equations by Stabilized Finite Element Methods written by Stefano Berrone and published by . This book was released on 1999 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Space-Time Methods

Author : Ulrich Langer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110548488
Total Pages : 261 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Space-Time Methods by : Ulrich Langer

Download or read book Space-Time Methods written by Ulrich Langer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-09-23 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.

Multigrid Solution for High-order Discontinuous Galerkin Discretizations of the Compressible Navier-Stokes Equations

Author : Todd A. Oliver
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Multigrid Solution for High-order Discontinuous Galerkin Discretizations of the Compressible Navier-Stokes Equations by : Todd A. Oliver

Download or read book Multigrid Solution for High-order Discontinuous Galerkin Discretizations of the Compressible Navier-Stokes Equations written by Todd A. Oliver and published by . This book was released on 2004 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-order discontinuous Galerkin finite element discretization and p-multigrid solution procedure for the compressible Navier-Stokes equations are presented. The discretization has an element-compact stencil such that only elements sharing a face are coupled, regardless of the solution space. This limited coupling maximizes the effectiveness of the p-multigrid solver, which relies on an element-line Jacobi smoother. The element-line Jacobi smoother solves implicitly on lines of elements formed based on the coupling between elements in a p = 0 discretization of the scalar transport equation. Fourier analysis of 2-D scalar convection-diffusion shows that the element-line Jacobi smoother as well as the simpler element Jacobi smoother are stable independent of p and flow condition. Mesh refinement studies for simple problems with analytic solutions demonstrate that the discretization achieves optimal order of accuracy of O(h(̂p+l)). A subsonic, airfoil test case shows that the multigrid convergence rate is independent of p but weakly dependent on h. Finally, higher-order is shown to outperform grid refinement in terms of the time required to reach a desired accuracy level.

Multigrid Methods II

Author : Wolfgang Hackbusch
Publisher : Springer
ISBN 13 : 3540473726
Total Pages : 342 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Multigrid Methods II by : Wolfgang Hackbusch

Download or read book Multigrid Methods II written by Wolfgang Hackbusch and published by Springer. This book was released on 2006-11-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multigrid Methods

Author : Stephen F. McCormick
Publisher : SIAM
ISBN 13 : 1611971888
Total Pages : 292 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Multigrid Methods by : Stephen F. McCormick

Fundamental Directions in Mathematical Fluid Mechanics

Author : Giovanni P. Galdi
Publisher : Birkhäuser
ISBN 13 : 3034884249
Total Pages : 300 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fundamental Directions in Mathematical Fluid Mechanics by : Giovanni P. Galdi

Download or read book Fundamental Directions in Mathematical Fluid Mechanics written by Giovanni P. Galdi and published by Birkhäuser. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.

Multigrid Methods VI

Author : Erik Dick
Publisher : Springer Science & Business Media
ISBN 13 : 3642583121
Total Pages : 306 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Multigrid Methods VI by : Erik Dick

Download or read book Multigrid Methods VI written by Erik Dick and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 39 of the papers presented at the Sixth European Multigrid Conference, held in Gent, Belgium, September 27-30, 1999. The topics treated at the conference cover all aspects of Multigrid Methods: theory, analysis, computer implementation, applications in the fields of physics, chemistry, fluid mechanics, structural mechanics and magnetism.

Multigrid Methods IV

Author : P.W. Hemker
Publisher : Birkhäuser
ISBN 13 : 3034885245
Total Pages : 360 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Multigrid Methods IV by : P.W. Hemker

Download or read book Multigrid Methods IV written by P.W. Hemker and published by Birkhäuser. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection from the papers presented at the Fourth European Multigrid Conference, held in Amsterdam, July 6-9,1993. There were 78 registered participants from 14 different countries, and 56 presentations were given. The preceding conferences in this series were held in Cologne (1981, 1985) and in Bonn (1990). Also at the other side of the Atlantic special multigrid conferences are held regularly, at intervals of two years, always in Copper Mountain, Colorado, US. The Sixth Copper Mountain Conference on Multigrid Methods took place in April, 1993. Circumstances prevented us from putting a larger time interval between the Copper and Amsterdam meetings. The next European meeting is planned in 1996, a year later than the next Copper Meeting. When the first multigrid conference was held in 1981 there was no doubt about the usefulness of a conference dedicated specially to multigrid, because multigrid was a new and relatively unexplored subject, still in a pioneering stage, and pursued by specialists. The past twenty years have shown a rapid growth in theoretical understanding, useful applications and widespread acceptance of multi grid in the applied disciplines. Hence, one might ask whether there is still a need today for conferences specially dedicated to multigrid. The general consensus is that the answer is affirmative. New issues have arisen that are best addressed or need also be addressed from a special multigrid point of view.

A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the Stokes Equation

Author : Volker John
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (313 download)

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Book Synopsis A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the Stokes Equation by : Volker John

Download or read book A Coupled Multigrid Method for Nonconforming Finite Element Discretizations of the Stokes Equation written by Volker John and published by . This book was released on 1999 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Multigrid Tutorial

Author : William L. Briggs
Publisher : SIAM
ISBN 13 : 9780898719505
Total Pages : 205 pages
Book Rating : 4.7/5 (195 download)

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Book Synopsis A Multigrid Tutorial by : William L. Briggs

Download or read book A Multigrid Tutorial written by William L. Briggs and published by SIAM. This book was released on 2000-01-01 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition preserves the introductory spirit of the first edition while roughly doubling the amount of material covered. The topics of the first edition have been enhanced with additional discussion, new numerical experiments, and improved figures. New topics in the second edition include nonlinear equations, Neumann boundary conditions, variable mesh and variable coefficient problems, anisotropic problems, algebraic multigrid (AMG), adaptive methods, and finite elements. This introductory book is ideally suited as a companion textbook for graduate numerical analysis courses. It is written for computational mathematicians, engineers, and other scientists interested in learning about multigrid.

Numerical Mathematics and Advanced Applications 2009

Author : Gunilla Kreiss
Publisher : Springer
ISBN 13 : 9783662519530
Total Pages : 960 pages
Book Rating : 4.5/5 (195 download)

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Book Synopsis Numerical Mathematics and Advanced Applications 2009 by : Gunilla Kreiss

Download or read book Numerical Mathematics and Advanced Applications 2009 written by Gunilla Kreiss and published by Springer. This book was released on 2016-05-01 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) was held from June 29-July 3, 2010, in Uppsala, Sweden. This was the eighth conference in a series of biannual meetings starting in Paris (1995). S- sequent conferences were organized in Heidelberg (1997), Jyvas ] kyla ] (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), and Graz (2007). ENU- MATH 2009 attracted over 330 attendees to the scienti c programme, with ten invited speakers, one public lecture, 32 minisymposia, and more than 280 presen- tions. This volume contains a selection of papers by the invited speakers and from the minisymposia and the contributed sessions. The purpose of the conference was to create a forum for discussion and d- semination of recent results in numerical mathematics and new applications of computational methods. Many subjects were covered in the talks and a few of the topicsrepresentedin these proceedingswere discontinuousGalerkinmethods, nite elementmethodsindifferentapplications, methodsfor uid ow, electromagnetism, nancial engineering, structuralmechanics, optimalcontrol, andbiomechanics. The minisymposia listed below with their organizers also give an impression of how broad the scope of the conference was: Adaptivity for non-linearand non-smooth problems, part I & II, Ralf Kornhuber, Andreas Veeser Advanced techniques in radial basis function approximation for PDEs, partI & II, Natasha Flyer, Elisabeth Larsson Advances in numerical methods for non-Newtonian ?ows, part I & II, Erik Burman, Maxim Olshanskii, Stefan Turek Anisotropicadaptivemeshes: erroranalysisandapplications, partI&II, Thierry Coupez, Simona Perotto Asymptotic linear algebra, numerical methods, and applications, part I & II, Marco Donatelli, Stefano Serra-Capizzano Biomechanics, part I & II, Gerhard A.

New Results in Numerical and Experimental Fluid Mechanics XIV

Author : Andreas Dillmann
Publisher : Springer Nature
ISBN 13 : 3031404823
Total Pages : 700 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis New Results in Numerical and Experimental Fluid Mechanics XIV by : Andreas Dillmann

Download or read book New Results in Numerical and Experimental Fluid Mechanics XIV written by Andreas Dillmann and published by Springer Nature. This book was released on 2023-10-24 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers timely insights into research on numerical and experimental fluid mechanics and aerodynamics, mainly for (but not limited to) aerospace applications. It reports on findings by members of the Deutsche Strömungsmechanische Arbeitsgemeinschaft, STAB (German Aerodynamics/Fluid Mechanics Association) and the Deutsche Gesellschaft für Luft- und Raumfahrt - Lilienthal Oberth e.V., DGLR (German Society for Aeronautics and Astronautics) and covers both nationally and EC-funded projects. Continuing on the tradition of the previous volumes, the book highlights innovative solutions, promoting translation from fundamental research to industrial applications. It addresses academics and professionals in the field of aeronautics, astronautics, ground transportation, and energy alike.