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Euler And Navier Stokes Solvers Using Multi Dimensional Upwind Schemes And Multigrid Acceleration
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Book Synopsis Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration by : Herman Deconinck
Download or read book Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration written by Herman Deconinck and published by Friedr Vieweg & Sohn Verlagsgesellschaft. This book was released on 1997 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Efficient Upwind Algorithms for Solution of the Euler and Navier-stokes Equations by :
Download or read book Efficient Upwind Algorithms for Solution of the Euler and Navier-stokes Equations written by and published by . This book was released on 1910 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations by :
Download or read book Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations written by and published by . This book was released on 1997 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 :9781729052211 Total Pages :36 pages Book Rating :4.0/5 (522 download)
Book Synopsis A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations by : National Aeronautics and Space Adm Nasa
Download or read book A Genuinely Multidimensional Upwind Scheme and Efficient Multigrid Solver for the Compressible Euler Equations written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-21 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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...
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 Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations by : D. Sidilkover
Download or read book Some Approaches Towards Constructing Optimally Efficient Multigrid Solvers for the Inviscid Flow Equations written by D. Sidilkover and published by . This book was released on 1997 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 29th AIAA Fluid Dynamics Conference by :
Download or read book 29th AIAA Fluid Dynamics Conference written by and published by . This book was released on 1998 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Runge-Kutta Upwind Multigrid Multi-block Three-dimensional Thin Layer Navier-Stokes Solver by : Frank Edward Cannizzaro
Download or read book Runge-Kutta Upwind Multigrid Multi-block Three-dimensional Thin Layer Navier-Stokes Solver written by Frank Edward Cannizzaro and published by . This book was released on 1992 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Ernst Heinrich Hirschel Publisher :Springer Science & Business Media ISBN 13 :9783540441304 Total Pages :306 pages Book Rating :4.4/5 (413 download)
Book Synopsis Numerical Flow Simulation III by : Ernst Heinrich Hirschel
Download or read book Numerical Flow Simulation III written by Ernst Heinrich Hirschel and published by Springer Science & Business Media. This book was released on 2003 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eighteen reports on work, which has been conducted since 2000 in the Collaborative Research Programme "Numerical Flow Simulation" of the Centre National de la Recherche Scientifique (CNRS) and the Deutsche Forschungsgemeinschaft (DFG). French and German engineers and mathematicians present their joint research on the topics: "Development of Solution Techniques", "Crystal Growth and Melts", "Flows of Reacting Gases, Sound Generation" and "Turbulent Flows". In the background of their work is still the strong growth in the performance of super-computer architectures, which, together with large advances in algorithms, is opening vast new application areas of numerical flow simulation in research and industrial work. Results of this programme from the period 1996 to 1998 have been presented in NNFM 66 (1998), and NNFM75 (2001).
Author :Ernst Heinrich Hirschel Publisher :Springer Science & Business Media ISBN 13 :3540708057 Total Pages :507 pages Book Rating :4.5/5 (47 download)
Book Synopsis 100 Volumes of 'Notes on Numerical Fluid Mechanics' by : Ernst Heinrich Hirschel
Download or read book 100 Volumes of 'Notes on Numerical Fluid Mechanics' written by Ernst Heinrich Hirschel and published by Springer Science & Business Media. This book was released on 2009-05-19 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a book that will be required reading for engineers, physicists, and computer scientists, the editors have collated a number of articles on fluid mechanics, written by some of the world’s leading researchers and practitioners in this important subject area.
Book Synopsis Optimum Aerodynamic Design & Parallel Navier-Stokes Computations ECARP — European Computational Aerodynamics Research Project by : Jacques Periaux
Download or read book Optimum Aerodynamic Design & Parallel Navier-Stokes Computations ECARP — European Computational Aerodynamics Research Project written by Jacques Periaux and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Godunov Methods written by E.F. Toro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Fluid Dynamics by : Jiri Blazek
Download or read book Computational Fluid Dynamics written by Jiri Blazek and published by Butterworth-Heinemann. This book was released on 2015-04-23 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics: Principles and Applications, Third Edition presents students, engineers, and scientists with all they need to gain a solid understanding of the numerical methods and principles underlying modern computation techniques in fluid dynamics. By providing complete coverage of the essential knowledge required in order to write codes or understand commercial codes, the book gives the reader an overview of fundamentals and solution strategies in the early chapters before moving on to cover the details of different solution techniques. This updated edition includes new worked programming examples, expanded coverage and recent literature regarding incompressible flows, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and parallelization. An accompanying companion website contains the sources of 1-D and 2-D Euler and Navier-Stokes flow solvers (structured and unstructured) and grid generators, along with tools for Von Neumann stability analysis of 1-D model equations and examples of various parallelization techniques. Will provide you with the knowledge required to develop and understand modern flow simulation codes Features new worked programming examples and expanded coverage of incompressible flows, implicit Runge-Kutta methods and code parallelization, among other topics Includes accompanying companion website that contains the sources of 1-D and 2-D flow solvers as well as grid generators and examples of parallelization techniques
Book Synopsis Numerical Solution of 3D Navier-Stokes Equations with Upwind Implicit Schemes by :
Download or read book Numerical Solution of 3D Navier-Stokes Equations with Upwind Implicit Schemes written by and published by . This book was released on 1990 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722978891 Total Pages :162 pages Book Rating :4.9/5 (788 download)
Book Synopsis Convergence Acceleration of the Proteus Computer Code with Multigrid Methods by : National Aeronautics and Space Administration (NASA)
Download or read book Convergence Acceleration of the Proteus Computer Code with Multigrid Methods 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 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report presents the results of a study to implement convergence acceleration techniques based on the multigrid concept in the two-dimensional and three-dimensional versions of the Proteus computer code. The first section presents a review of the relevant literature on the implementation of the multigrid methods in computer codes for compressible flow analysis. The next two sections present detailed stability analysis of numerical schemes for solving the Euler and Navier-Stokes equations, based on conventional von Neumann analysis and the bi-grid analysis, respectively. The next section presents details of the computational method used in the Proteus computer code. Finally, the multigrid implementation and applications to several two-dimensional and three-dimensional test problems are presented. The results of the present study show that the multigrid method always leads to a reduction in the number of iterations (or time steps) required for convergence. However, there is an overhead associated with the use of multigrid acceleration. The overhead is higher in 2-D problems than in 3-D problems, thus overall multigrid savings in CPU time are in general better in the latter. Savings of about 40-50 percent are typical in 3-D problems, but they are about 20-30 percent in large 2-D problems. The present multigrid method is applicable to steady-state problems and is therefore ineffective in problems with inherently unstable solutions. Demuren, A. O. and Ibraheem, S. O. Unspecified Center COMPRESSIBLE FLOW; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GRIDS; CONVERGENCE; MULTIGRID METHODS; NUMERICAL STABILITY; THREE DIMENSIONAL FLOW; TWO DIMENSIONAL FLOW; ALTERNATING DIRECTION IMPLICIT METHODS; APPLICATIONS PROGRAMS (COMPUTERS); EULER EQUATIONS OF MOTION; ITERATIVE SOLUTION; NAVIER-STOKES EQUATION; UPWIND SCHEMES (MATHEMATICS)...
Book Synopsis Computation and Comparison of Efficient Turbulence Models for Aeronautics — European Research Project ETMA by : Alain Dervieux
Download or read book Computation and Comparison of Efficient Turbulence Models for Aeronautics — European Research Project ETMA written by Alain Dervieux and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions to the BRITE-EURAM 3rd Framework Programme ETMA and extended articles of the TMA-Workshop. It focusses on turbulence modelling techniques suitable to use in typical flow configurations, with emphasis on compressibility effects and inherent unsteadiness. These methodologies are applied to the Navier-Stokes equations, involving various turbulence modelling levels from algebraic to RSM. Basic turbulent flows in aeronautics are considered; mixing layers, wall-flows (flat-plate, backward-facing step, ramp, bump), and more complex configurations (bump, aerofoil). A critical assessment of the turbulence modelling performances is offered, based on previous results and on the experimental data-base of this research programme. The ETMA results figure in the data-base constituted by all partners and organized by INRIA
Book Synopsis New Results in Numerical and Experimental Fluid Mechanics III by : Siegfried Wagner
Download or read book New Results in Numerical and Experimental Fluid Mechanics III written by Siegfried Wagner and published by Springer Science & Business Media. This book was released on 2002-02-26 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers of a German symposium dealing with research and project work in numerical and experimental aerodynamics and fluidmechanics for aerospace and other applications. It gives a broad overview over the ongoing work in this field in Germany.