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Robust Multigrid Algorithms For The Incompressible Navier Stokes Equations
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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 Robust Multigrid Methods for the Steady and Unsteady Incompressible Navier-Stokes Equations in General Coordinates by : Cornelis W. Oosterlee
Download or read book Robust Multigrid Methods for the Steady and Unsteady Incompressible Navier-Stokes Equations in General Coordinates written by Cornelis W. Oosterlee and published by . This book was released on 1993 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Robust Multigrid Technique by : Sergey I. Martynenko
Download or read book The Robust Multigrid Technique written by Sergey I. Martynenko and published by . This book was released on 2017 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Robust Multigrid Method for a Discretization of the Incompressible Navier-Stokes Equations in General Coordinates by : Cornelis Willebrordus Oosterlee
Download or read book A Robust Multigrid Method for a Discretization of the Incompressible Navier-Stokes Equations in General Coordinates written by Cornelis Willebrordus Oosterlee and published by . This book was released on 1992 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Robust Multigrid Technique by : Sergey I. Martynenko
Download or read book The Robust Multigrid Technique written by Sergey I. Martynenko and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-09-25 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential multigrid principle in a single grid algorithm. It results in an extremely simple, very robust and highly parallel solver with close-to-optimal algorithmic complexity and the least number of problem-dependent components. Topics covered include an introduction to the mathematical principles of multigrid methods, a detailed description of RMT, results of convergence analysis and complexity, possible expansion on unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the parallel multigrid algorithms, and finally applications of RMT for the numerical solution of the incompressible Navier Stokes equations. Potential readers are graduate students and researchers working in applied and numerical mathematics as well as multigrid practitioners and software programmers. Contents Introduction to multigrid Robust multigrid technique Parallel multigrid methods Applications of multigrid methods in computational fluid dynamics
Book Synopsis Robust Multigrid Methods for the Steady and Unsteady Incompressible Navier-Stokes Equations in General Coordinates by : Cornelis Willebrordus Oosterlee (Mathematicien.)
Download or read book Robust Multigrid Methods for the Steady and Unsteady Incompressible Navier-Stokes Equations in General Coordinates written by Cornelis Willebrordus Oosterlee (Mathematicien.) and published by . This book was released on 1993 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Robust Locally Preconditioned Semi-coarsening Multigrid Algorithm for the 2-D Navier-Stokes Equations by : Michael D. Cain
Download or read book A Robust Locally Preconditioned Semi-coarsening Multigrid Algorithm for the 2-D Navier-Stokes Equations written by Michael D. Cain and published by . This book was released on 1999 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Robust Multigrid Method for a Discretization of the Incompressible Navier-Stokes Equations in General Coordinates by : C. W. Oosterlee
Download or read book A Robust Multigrid Method for a Discretization of the Incompressible Navier-Stokes Equations in General Coordinates written by C. W. Oosterlee and published by . This book was released on 1992 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Developments in the Solution of the Incompressible Navier Stokes Equations by : C. P. Thompson
Download or read book Developments in the Solution of the Incompressible Navier Stokes Equations written by C. P. Thompson and published by . This book was released on 1991 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A multigrid algorithm for the incompressible Navier-Stokes equations by : Anton Schüller
Download or read book A multigrid algorithm for the incompressible Navier-Stokes equations written by Anton Schüller and published by . This book was released on 1989 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Robust Multi-Grid Methods by : W. Hackbusch
Download or read book Robust Multi-Grid Methods written by W. Hackbusch and published by Vieweg+teubner Verlag. This book was released on 1989 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In full multigrid methods for elliptic difference equations one works on a sequence of meshes where a number of pre- and/or postsmoothing steps are performed on each level. As is well known these methods can converge very fast on problems with a smooth solution and a regular mesh, but the rate of convergence can be severely degraded for problems with unisotropy or discontinuous coefficients unless some form of robust smoother is used. Also problems can arise with the increasingly coarser meshes because for some types of discretization methods, coercivity may be lost on coarse meshes and on massively parallel computers the computation cost of transporting information between computer processors devoted to work on various levels of the mesh can dominate the whole computing time. For discussions about some of these problems, see (11). Here we propose a method that uses only two levels of meshes, the fine and the coarse level, respec tively, and where the corrector on the coarse level is equal to a new type of preconditioner which uses an algebraic substructuring of the stiffness matrix. It is based on the block matrix tridiagonal structure one gets when the domain is subdivided into strips. This block-tridiagonal form is used to compute an approximate factorization whereby the Schur complements which arise in the recursive factorization are approximated in an indirect way, i. e.
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.
Book Synopsis Robust Multigrid Methods for the Steady and Unsteady Navier-Stokes Equations in General Coordinates by : Cornelis W. Oosterlee
Download or read book Robust Multigrid Methods for the Steady and Unsteady Navier-Stokes Equations in General Coordinates written by Cornelis W. Oosterlee and published by . This book was released on 1993 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis multigrid methods by : Stephen F. Mccormick
Download or read book multigrid methods written by Stephen F. Mccormick and published by CRC Press. This book was released on 2020-08-11 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781720512141 Total Pages :48 pages Book Rating :4.5/5 (121 download)
Book Synopsis Evaluation of a Multigrid Scheme for the Incompressible Navier-Stokes Equations by : National Aeronautics and Space Administration (NASA)
Download or read book Evaluation of a Multigrid Scheme for the Incompressible Navier-Stokes Equations written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-05-31 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fast multigrid solver for the steady, incompressible Navier-Stokes equations is presented. The multigrid solver is based upon a factorizable discrete scheme for the velocity-pressure form of the Navier-Stokes equations. This scheme correctly distinguishes between the advection-diffusion and elliptic parts of the operator, allowing efficient smoothers to be constructed. To evaluate the multigrid algorithm, solutions are computed for flow over a flat plate, parabola, and a Karman-Trefftz airfoil. Both nonlifting and lifting airfoil flows are considered, with a Reynolds number range of 200 to 800. Convergence and accuracy of the algorithm are discussed. Using Gauss-Seidel line relaxation in alternating directions, multigrid convergence behavior approaching that of O(N) methods is achieved. The computational efficiency of the numerical scheme is compared with that of Runge-Kutta and implicit upwind based multigrid methods.Swanson, R. C.Langley Research CenterMULTIGRID METHODS; NAVIER-STOKES EQUATION; INCOMPRESSIBLE FLOW; AIRFOILS; TREFFTZ METHOD; RUNGE-KUTTA METHOD; REYNOLDS NUMBER; PARABOLAS; FLAT PLATES; CONVERGENCE; ALGORITHMS
Book Synopsis Implementation of Multigrid Methods for Solving Navier-Stokes Equations on a Multiprocessor System by : Institute for Computer Applications in Science and Engineering
Download or read book Implementation of Multigrid Methods for Solving Navier-Stokes Equations on a Multiprocessor System written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1987 with total page 38 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 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
