Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration PDF Download
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Author: Herman Deconinck
Publisher: Friedr Vieweg & Sohn Verlagsgesellschaft
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 596
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Book Description
Author: Herman Deconinck
Publisher: Friedr Vieweg & Sohn Verlagsgesellschaft
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 596
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
An efficient three-dimensionasl tructured solver for the Euler and Navier-Stokese quations is developed based on a finite volume upwind algorithm using Roe fluxes. Multigrid and optimal smoothing multi-stage time stepping accelerate convergence. The accuracy of the new solver is demonstrated for inviscid flows in the range 0.675 :5M :5 25. A comparative grid convergence study for transonic turbulent flow about a wing is conducted with the present solver and a scalar dissipation central difference industrial design solver. The upwind solver demonstrates faster grid convergence than the central scheme, producing more consistent estimates of lift, drag and boundary layer parameters. In transonic viscous computations, the upwind scheme with convergence acceleration is over 20 times more efficient than without it. The ability of the upwind solver to compute viscous flows of comparable accuracy to scalar dissipation central schemes on grids of one-quarter the density make it a more accurate, cost effective alternative. In addition, an original convergencea cceleration method termed shock acceleration is proposed. The method is designed to reduce the errors caused by the shock wave singularity M -+ 1, based on a localized treatment of discontinuities. Acceleration models are formulated for an inhomogeneous PDE in one variable. Results for the Roe and Engquist-Osher schemes demonstrate an order of magnitude improvement in the rate of convergence. One of the acceleration models is extended to the quasi one-dimensiona Euler equations for duct flow. Results for this case d monstrate a marked increase in convergence with negligible loss in accuracy when the acceleration procedure is applied after the shock has settled in its final cell. Typically, the method saves up to 60% in computational expense. Significantly, the performance gain is entirely at the expense of the error modes associated with discrete shock structure. In view of the success achieved, further development of t.
Author: Wolfgang Hackbusch
Publisher: Springer Science & Business Media
ISBN: 3642587348
Category : Mathematics
Languages : en
Pages : 344
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Book Description
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
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Book Description
Some important advances took place during the last several years in the development of genuinely multidimensional upwind schemes for the compressible Euler equations. In particular, a robust, high-resolution genuinely multidimensional scheme which can be used for any of the flow regimes computations was constructed. This paper summarizes briefly these developments and outlines the fundamental advantages of this approach.
Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781729052211
Category : Science
Languages : en
Pages : 36
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Book Description
We present a new approach towards the construction of a genuinely multidimensional high-resolution scheme for computing steady-state solutions of the Euler equations of gas dynamics. The unique advantage of this approach is that the Gauss-Seidel relaxation is stable when applied directly to the high-resolution discrete equations, thus allowing us to construct a very efficient and simple multigrid steady-state solver. This is the only high-resolution scheme known to us that has this property. The two-dimensional scheme is presented in detail. It is formulated on triangular (structured and unstructured) meshes and can be interpreted as a genuinely two-dimensional extension of the Roe scheme. The quality of the solutions obtained using this scheme and the performance of the multigrid algorithm are illustrated by the numerical experiments. Construction of the three dimensional scheme is outlined briefly as well. Sidilkover, David Unspecified Center NAS1-19480...
Author: D. Sidilkover
Publisher:
ISBN:
Category :
Languages : en
Pages : 34
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Book Description
Author: E.F. Toro
Publisher: Springer Science & Business Media
ISBN: 1461506638
Category : Computers
Languages : en
Pages : 1050
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Book Description
This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford in October 1999, to commemo rate the 70th birthday of the Russian mathematician Sergei K. Godunov. The meeting enjoyed the participation of 140 scientists from 20 countries; one of the participants commented: everyone is here, meaning that virtu ally everybody who had made a significant contribution to the general area of numerical methods for hyperbolic conservation laws, along the lines first proposed by Godunov in the fifties, was present at the meeting. Sadly, there were important absentees, who due to personal circumstance could not at tend this very exciting gathering. The central theme o{ the meeting, and of this book, was numerical methods for hyperbolic conservation laws fol lowing Godunov's key ideas contained in his celebrated paper of 1959. But Godunov's contributions to science are not restricted to Godunov's method.
Author: Frank Edward Cannizzaro
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 334
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Book Description
Author: Jacques Periaux
Publisher: Springer Science & Business Media
ISBN: 3322901939
Category : Technology & Engineering
Languages : en
Pages : 471
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Book Description
This book is one of three volumes entitled "ECARP-European Computational Aerodynamics Research Project", which was supported by the European Union in the Aeronautics Area of the Industrial and Materials Technology Programme. This volume contains optimization techniques for a number of inviscid and viscous problems like drag reduction, inverse, multipoint, wing-pylon-nacelle and riblets (Part A); and methodologies for solving the Navier Stokes equations on parallel architectures for compressible viscous flows in two and three dimensions (Part B). The main objective of this book is to disseminate information about cost effective methodologies for practical design problems and parallel CFD to be used by computer scientists and multidisciplinary engineers.
Author: J. A. D?sid?ri
Publisher: Wiley
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 600
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Book Description
The European Community on Computational Methods in Applied Science (ECCOMAS) has been created with the aim of providing a co-ordination of international scientific conferences and other activities in the field of computational methods in applied sciences. The main objective of the joint conferences on computational fluid dynamics and numerical methods in engineering is to provide a common forum for the presentation and discussion of scientific computing applied to engineering sciences. Equal emphasis is to be given to basic methodologies, scientific developments and industrial applications. These conferences are presented in three volumes. Volume one, Computational Fluid Dynamics '96, covers the proceedings of the Third ECCOMAS Conference on Computational Fluid Dynamics; Volume two, Numerical Methods in Engineering '96, covers the proceedings of the second ECCOMAS Conference on Numerical Methods in Engineering; and Volume three, Computational Methods in Applied Sciences '96, which presents invited lectures and special technical sessions of both the Third ECCOMAS Computational Fluid Dynamics Conference and the Second ECCOMAS Conference on Numerical Methods in Engineering.
