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A Parallel Multigrid Solver For Viscous Flows On Anisotropic Structured Grids
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781721282319 Total Pages :38 pages Book Rating :4.2/5 (823 download)
Book Synopsis A Parallel Multigrid Solver for Viscous Flows on Anisotropic Structured Grids by : National Aeronautics and Space Administration (NASA)
Download or read book A Parallel Multigrid Solver for Viscous Flows on Anisotropic Structured Grids written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-21 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents an efficient parallel multigrid solver for speeding up the computation of a 3-D model that treats the flow of a viscous fluid over a flat plate. The main interest of this simulation lies in exhibiting some basic difficulties that prevent optimal multigrid efficiencies from being achieved. As the computing platform, we have used Coral, a Beowulf-class system based on Intel Pentium processors and equipped with GigaNet cLAN and switched Fast Ethernet networks. Our study not only examines the scalability of the solver but also includes a performance evaluation of Coral where the investigated solver has been used to compare several of its design choices, namely, the interconnection network (GigaNet versus switched Fast-Ethernet) and the node configuration (dual nodes versus single nodes). As a reference, the performance results have been compared with those obtained with the NAS-MG benchmark. Prieto, Manuel and Montero, Ruben S. and Llorente, Ignacio M. and Bushnell, Dennis M. (Technical Monitor) Langley Research Center NASA/CR-2001-211238, ICASE-2001-34, NAS 1.26:211238
Book Synopsis A Parallel Multigrid Solver for Viscous Flows on Anisotropic Structured Grids by : Manuel Prieto
Download or read book A Parallel Multigrid Solver for Viscous Flows on Anisotropic Structured Grids written by Manuel Prieto and published by . This book was released on 2001 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper presents an efficient parallel multigrid solver for speeding up the computation of a 3-D model that treats the flow of a viscous fluid over a flat plate. The main interest of this simulation lies in exhibiting some basic difficulties that prevent optimal multigrid efficiencies from being achieved. As the computing platform, we have used Coral, a Beowulf-class system based on Intel Pentium processors and equipped with GigaNet cLAN and switched Fast Ethernet networks. Our study not only examines the scalability of the solver but also includes a performance evaluation of Coral where the investigated solver has been used to compare several of its design choices, namely, the interconnection network (GigaNet versus switched Fast-Ethernet) and the node configuration (dual nodes versus single nodes). As a reference, the performance results have been compared with those obtained with the NAS-MG benchmark."
Book Synopsis Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes by : Dimitri Mavriplis
Download or read book Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes written by Dimitri Mavriplis and published by . This book was released on 1998 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes by : Dimitri J. Mavriplis
Download or read book Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes written by Dimitri J. Mavriplis and published by . This book was released on 1998 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High Performance Computing for Computational Science - VECPAR 2006 by : Michel Daydé
Download or read book High Performance Computing for Computational Science - VECPAR 2006 written by Michel Daydé and published by Springer Science & Business Media. This book was released on 2007-04-02 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on High Performance Computing for Computational Science, VECPAR 2006, held in Rio de Janeiro, Brazil, in June 2006. The 44 revised full papers presented together with one invited paper and 12 revised workshop papers cover Grid computing, cluster computing, numerical methods, large-scale simulations in Physics, and computing in Biosciences.
Book Synopsis Development of an Explicit Multiblock/multigrid Flow Solver for Viscous Flows in Complex Geometries by : Erlendur Steinthorsson
Download or read book Development of an Explicit Multiblock/multigrid Flow Solver for Viscous Flows in Complex Geometries written by Erlendur Steinthorsson and published by . This book was released on 1993 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ICASE Semiannual Report written by and published by . This book was released on 2002 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report summarizes research conducted at ICASE in applied mathematics, computer science, fluid mechanics, and structures and material sciences during the period October 1, 2000 through March 31, 2001.
Book Synopsis A Note on Multi-block Relaxation Schemes for Multigrid Solvers by : Jim E. Jones
Download or read book A Note on Multi-block Relaxation Schemes for Multigrid Solvers written by Jim E. Jones and published by . This book was released on 1997 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Efficient and robust multigrid solvers for anisotropic problems typically use either semi-coarsened grids or implicit smoothers -- line relaxation in 2D and plane relaxation in 3D. However, both of these may be difficult to implement in codes using multi-block structured grids where there may be no natural definition of a global 'line' or 'plane'. These multi-block structured grids are often used in fluid dynamic applications to capture complex geometries and/or to facilitate parallel processing. In this paper, we investigate the performance of multigrid algorithms using implicit smoothers within the blocks of a such a [sic] grid. By looking at a model problem, the 2-D anisotropic diffusion equation, we show that true multigrid efficiency is achieved only when the block sizes are proportional to the strength of the anisotropy. Further, the blocks must overlap and the size of the overlap must again be proportional to the strength of the anisotropy."
Book Synopsis Large-Scale Parallel Viscous Flow Computations Using an Unstructured Multigrid Algorithm by : Dimitri J. Mavriplis
Download or read book Large-Scale Parallel Viscous Flow Computations Using an Unstructured Multigrid Algorithm written by Dimitri J. Mavriplis and published by . This book was released on 1999 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development and testing of a parallel unstructured agglomeration multigrid algorithm for steady-state aerodynamic flows is discussed. The agglomeration multigrid strategy uses a graph algorithm to construct the coarse multigrid levels from the given fine grid, similar to an algebraic multigrid approach, but operates directly on the non-linear system using the FAS approach. The scalability and convergence rate of the multigrid algorithm are examined on the SGI Origin 2000 and the Cray T3E. An argument is given which indicates that the asymptotic scalability of the multigrid algorithm should be similar to that of its underlying single grid smoothing scheme. For medium size problems involving several million grid points, near perfect scalability is obtained for the single grid algorithm, while only a slight drop-off in parallel efficiency is observed for the multigrid V- and W-cycles, using up to 128 processors on the SGI Origin 2000, and up to 512 processors on the Cray T3E. For a large problem using 25 million grid points, good scalability is observed for the multigrid algorithm using up to 1450 processors on a Cray T3E, even when the coarsest grid level contains fewer points than the total number of processors.
Download or read book Multigrid written by Ulrich Trottenberg and published by Elsevier. This book was released on 2000-11-20 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.Multigrid methods are invaluable to researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and all engineering disciplines. They are also becoming increasingly important in economics and financial mathematics.Readers are presented with an invaluable summary covering 25 years of practical experience acquired by the multigrid research group at the Germany National Research Center for Information Technology. The book presents both practical and theoretical points of view. * Covers the whole field of multigrid methods from its elements up to the most advanced applications* Style is essentially elementary but mathematically rigorous* No other book is so comprehensive and written for both practitioners and students
Book Synopsis Implementation of a Parallel Multigrid Solver for the Solution of Higher-dimensional PDEs on Anisotropic Grids in DUNE by : Daniel Pfister
Download or read book Implementation of a Parallel Multigrid Solver for the Solution of Higher-dimensional PDEs on Anisotropic Grids in DUNE written by Daniel Pfister and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Multigrid and Upwind Viscous Flow Solver on 3-D Embedded and Overlapped Grids by : Oktay Baysal
Download or read book A Multigrid and Upwind Viscous Flow Solver on 3-D Embedded and Overlapped Grids written by Oktay Baysal and published by . This book was released on 1989 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Development of an Explicit Multiblock/multigrid Flow Solver for Viscous Flows in Complex Geometries by :
Download or read book Development of an Explicit Multiblock/multigrid Flow Solver for Viscous Flows in Complex Geometries written by and published by . This book was released on 1993 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Parallel Solution of Unsteady Incompressible Viscous Flows Using Multiblock Structured Grids by : Ramesh Pankajakshan
Download or read book Parallel Solution of Unsteady Incompressible Viscous Flows Using Multiblock Structured Grids written by Ramesh Pankajakshan and published by . This book was released on 1997 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Robust Multigrid Algorithms for the Incompressible Navier-Stokes Equations by : Ruben S. Montero
Download or read book Robust Multigrid Algorithms for the Incompressible Navier-Stokes Equations written by Ruben S. Montero and published by . This book was released on 2000 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anisotropies occur naturally in CFD where the simulation of small scale physical phenomena, such as boundary layers at high Reynolds numbers, causes the grid to be highly stretched leading to a slow down in convergence of multigrid methods. Several approaches aimed at making multigrid a robust solver have been proposed and analyzed in literature using the scalar diffusion equation. However, they have been rarely applied to solving more complicated models, like the incompressible Navier-Stokes equations. This paper contains the first published numerical results of the behavior of two popular robust multigrid approaches (alternating-plane smoothers combined with standard coarsening and plane implicit smoothers combined with semi-coarsening) for solving the 3-D incompressible Navier-Stokes equations in the simulation of the driven cavity and a boundary layer over a flat plate on a stretched grid. The discrete operator is obtained using a staggered-grid arrangement of variables with a finite volume technique and second-order accuracy is achieved using defect correction within the multigrid cycle. Grid size, grid stretching and Reynolds number are the factors considered in evaluating the robustness of the multigrid methods. Both approaches yield large increases in convergence rates over cell-implicit smoothers on stretched grids. The combination of plane implicit smoothers and semi-coarsening was found to be fully robust in the fiat plate simulation up to Reynolds numbers 10(exp 6) and the best alternative in the driven cavity simulation for Reynolds numbers above 10(exp 3). The alternating-plane approach exhibits a better behavior for lower Reynolds numbers (below to 10(exp 3) in the driven cavity simulation. A parallel variant of the smoother, tri-plane ordering, presents a good trade-off between convergence and parallel properties.
Book Synopsis Directional Agglomeration Multigrid Techniques for High-Reynolds Number Viscous Flows by : Dimitri Mavriplis
Download or read book Directional Agglomeration Multigrid Techniques for High-Reynolds Number Viscous Flows written by Dimitri Mavriplis and published by . This book was released on 1998 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
