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Author : Oktay Baysal
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (317 download)
Download or read book An Overlapped Grid Method for Multigrid, Finite Volume/difference Flow Solvers: MaGGiE written by Oktay Baysal and published by . This book was released on 1990 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722940614
Total Pages : 114 pages
Book Rating : 4.9/5 (46 download)
Download or read book An Overlapped Grid Method for Multigrid, Finite Volume/Difference Flow Solvers written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-17 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective is to develop a domain decomposition method via overlapping/embedding the component grids, which is to be used by upwind, multi-grid, finite volume solution algorithms. A computer code, given the name MaGGiE (Multi-Geometry Grid Embedder) is developed to meet this objective. MaGGiE takes independently generated component grids as input, and automatically constructs the composite mesh and interpolation data, which can be used by the finite volume solution methods with or without multigrid convergence acceleration. Six demonstrative examples showing various aspects of the overlap technique are presented and discussed. These cases are used for developing the procedure for overlapping grids of different topologies, and to evaluate the grid connection and interpolation data for finite volume calculations on a composite mesh. Time fluxes are transferred between mesh interfaces using a trilinear interpolation procedure. Conservation losses are minimal at the interfaces using this method. The multi-grid solution algorithm, using the coaser grid connections, improves the convergence time history as compared to the solution on composite mesh without multi-gridding. Baysal, Oktay and Lessard, Victor R. Unspecified Center ALGORITHMS; COMPUTATIONAL GRIDS; COMPUTER PROGRAMS; EXTERNAL STORE SEPARATION; FINITE VOLUME METHOD; INTERPOLATION; AERODYNAMIC CONFIGURATIONS; COMPUTATIONAL FLUID DYNAMICS; CONVERGENCE; DECOMPOSITION; FINITE DIFFERENCE THEORY; MISSILE CONFIGURATIONS; TOPOLOGY...
Author :
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (3 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen F. McCormick
Publisher : SIAM
ISBN 13 : 1611971888
Total Pages : 292 pages
Book Rating : 4.6/5 (119 download)
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.
Author :
Publisher :
ISBN 13 :
Total Pages : 980 pages
Book Rating : 4.:/5 (31 download)
Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1994-04 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1104 pages
Book Rating : 4.:/5 (89 download)
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1991-03 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (727 download)
Download or read book A Finite Volume Method for Solving the Navier-Stokes Equations on Composite Overlapping Grids written by and published by . This book was released on 1990 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simulation of compressible fluid flows describing engineering applications using finite difference or finite volume methods is complicated by both the difficulty in representing complex geometries using rectangular grids and by the memory size and speed of modern supercomputers. The composite overlapping grid approach can be used to represent complicated geometries using a set of logically rectangular grids, thus allowing the use of finite difference or finite volume methods to approximate the partial differential equations. This approach can also be used to accomplish local mesh refinement for the purpose of resolving locally detailed behavior in the flow fields. This paper discusses the composite overlapping grid method, in particular presenting the modifications necessary to the standard finite volume approach in order to use these grids. Computed examples from compressible hypersonic flow are present as well. 15 refs., 4 figs.
Author :
Publisher :
ISBN 13 :
Total Pages : 1600 pages
Book Rating : 4.3/5 (129 download)
Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William L. Briggs
Publisher : SIAM
ISBN 13 : 0898714621
Total Pages : 196 pages
Book Rating : 4.8/5 (987 download)
Download or read book A Multigrid Tutorial written by William L. Briggs and published by SIAM. This book was released on 2000-07-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Pieter Wesseling
Publisher : R.T. Edwards, Inc.
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.X/5 (4 download)
Download or read book An Introduction to Multigrid Methods written by Pieter Wesseling and published by R.T. Edwards, Inc.. This book was released on 2004 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the principles, techniques, applications and literature of multigrid methods. Aimed at an audience with non-mathematical but computing-intensive disciplines and basic knowledge of analysis, partial differential equations and numerical mathematics, it is packed with helpful exercises, examples and illustrations.
Author :
Publisher :
ISBN 13 :
Total Pages : 1036 pages
Book Rating : 4.:/5 (31 download)
Download or read book Aeronautical Engineering written by and published by . This book was released on 1991 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information system and announced in Scientific and technical aerospace reports (STAR) and International aerospace abstracts (IAA).
Author :
Publisher :
ISBN 13 :
Total Pages : 668 pages
Book Rating : 4.:/5 (319 download)
Download or read book NASA SP. written by and published by . This book was released on 1991 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Hackbusch
Publisher : Vieweg+teubner Verlag
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.3/5 (91 download)
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.
Author : M. J. Siclari
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (11 download)
Download or read book A Multigrid Finite Volume Method for Solving the Euler and Navier-Stokes Equations for High Speed Flows written by M. J. Siclari and published by . This book was released on 1989 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Li-hsia Wang
Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.E/5 ( download)
Download or read book Implicit Multigrid Solutions for Compressible Flows in Complex Geometries written by Li-hsia Wang and published by . This book was released on 1993 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jim E. Jones
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)
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."
