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Author : C. Y. McNeil
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (595 download)
Download or read book Efficient Upwind Algorithms for Solution of the Euler and Navier-Stokes Equations written by C. Y. McNeil and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Author : Michael J. Aftosmis
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Upwind Method for the Solution of the 3D Euler and Navier-Stokes Equations on Adaptively Meshes written by Michael J. Aftosmis and published by . This book was released on 1992 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new node based upwind scheme for the solution of the 3D Navier- Stokes equations on adaptively refined meshes is presented. The method uses a second-order upwind TVD scheme to integrate the convective terms, and discretizes the viscous terms with a new compact central difference technique. Grid adaptation is achieved through directional division of hexahedral cells in response to evolving features as the solution converges. The method is advanced in time with a multistage Runge-Kutta time stepping scheme. Two- and three- dimensional examples establish the accuracy of the inviscid and viscous discretization. These investigations highlight the ability of the method to produce crisp shocks, while accurately and economically resolving viscous layers. The representation of these and other structures is shown to be comparable to that obtained by structured methods. Further 3D examples demonstrate the ability of the adaptive algorithm to effectively locate and resolve multiple scale features in complex 3D flows with many interacting, viscous, and inviscid structures.
Author : RODRICK V. CHIMA
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (17 download)
Download or read book EFFICIENT SOLUTION OF THE EULER AND NAVIER-STOKES EQUATIONS WITH A VECTORIZED MULTIPLE-GRID ALGORITHM written by RODRICK V. CHIMA and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (227 download)
Download or read book An Upwind Method for the Solution of the 3D Euler and Navier-Stokes Equations on Adaptively Meshes written by and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new node based upwind scheme for the solution of the 3D Navier- Stokes equations on adaptively refined meshes is presented. The method uses a second-order upwind TVD scheme to integrate the convective terms, and discretizes the viscous terms with a new compact central difference technique. Grid adaptation is achieved through directional division of hexahedral cells in response to evolving features as the solution converges. The method is advanced in time with a multistage Runge-Kutta time stepping scheme. Two- and three- dimensional examples establish the accuracy of the inviscid and viscous discretization. These investigations highlight the ability of the method to produce crisp shocks, while accurately and economically resolving viscous layers. The representation of these and other structures is shown to be comparable to that obtained by structured methods. Further 3D examples demonstrate the ability of the adaptive algorithm to effectively locate and resolve multiple scale features in complex 3D flows with many interacting, viscous, and inviscid structures.
Author : Eleuterio F. Toro
Publisher : Springer Science & Business Media
ISBN 13 : 3540498346
Total Pages : 724 pages
Book Rating : 4.5/5 (44 download)
Download or read book Riemann Solvers and Numerical Methods for Fluid Dynamics written by Eleuterio F. Toro and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: High resolution upwind and centered methods are a mature generation of computational techniques. They are applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. For its third edition the book has been thoroughly revised to contain new material.
Author : United States. National Aeronautics and Space Administration
Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.3/5 (91 download)
Download or read book NASA Technical Paper written by United States. National Aeronautics and Space Administration and published by . This book was released on 1990 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. L. Roe
Publisher : World Scientific
ISBN 13 : 9812810811
Total Pages : 418 pages
Book Rating : 4.8/5 (128 download)
Download or read book Innovative Methods for Numerical Solutions of Partial Differential Equations written by P. L. Roe and published by World Scientific. This book was released on 2002 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of 20 review articles dedicated to Prof. Philip Roe on the occasion of his 60th birthday and in appreciation of his original contributions to computational fluid dynamics. The articles, written by leading researchers in the field, cover many topics, including theory and applications, algorithm developments and modern computational techniques for industry. Contents: OC A One-Sided ViewOCO: The Real Story (B van Leer); Collocated Upwind Schemes for Ideal MHD (K G Powell); The Penultimate Scheme for Systems of Conservation Laws: Finite Difference ENO with Marquina's Flux Splitting (R P Fedkiw et al.); A Finite Element Based Level-Set Method for Multiphase Flows (B Engquist & A-K Tornberg); The GHOST Fluid Method for Viscous Flows (R P Fedkiw & X-D Liu); Factorizable Schemes for the Equations of Fluid Flow (D Sidilkover); Evolution Galerkin Methods as Finite Difference Schemes (K W Morton); Fluctuation Distribution Schemes on Adjustable Meshes for Scalar Hyperbolic Equations (M J Baines); Superconvergent Lift Estimates Through Adjoint Error Analysis (M B Giles & N A Pierce); Somewhere between the LaxOCoWendroff and Roe Schemes for Calculating Multidimensional Compressible Flows (A Lerat et al.); Flux Schemes for Solving Nonlinear Systems of Conservation Laws (J M Ghidaglia); A LaxOCoWendroff Type Theorem for Residual Schemes (R Abgrall et al.); Kinetic Schemes for Solving SaintOCoVenant Equations on Unstructured Grids (M O Bristeau & B Perthame); Nonlinear Projection Methods for Multi-Entropies NavierOCoStokes Systems (C Berthon & F Coquel); A Hybrid Fluctuation Splitting Scheme for Two-Dimensional Compressible Steady Flows (P De Palma et al.); Some Recent Developments in Kinetic Schemes Based on Least Squares and Entropy Variables (S M Deshpande); Difference Approximation for Scalar Conservation Law. Consistency with Entropy Condition from the Viewpoint of Oleinik's E-Condition (H Aiso); Lessons Learned from the Blast Wave Computation Using Overset Moving Grids: Grid Motion Improves the Resolution (K Fujii). Readership: Researchers and graduate students in numerical and computational mathematics in engineering."
Author :
Publisher :
ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.:/5 (319 download)
Download or read book NASA Technical Paper written by and published by . This book was released on 1990 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. F. Toro
Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (318 download)
Download or read book Riemann Solvers and Numerical Methods for Fluid Dynamics written by E. F. Toro and published by Springer Science & Business Media. This book was released on 1997 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert W. Walters
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (31 download)
Download or read book Efficient Solutions to the Euler Equations for Supersonic Flow with Embedded Subsonic Regions written by Robert W. Walters and published by . This book was released on 1987 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert W. Walters
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (317 download)
Download or read book Efficient Solutions to the Euler Equations for Supersonic Flow with Embedded Subsonic Regions written by Robert W. Walters and published by . This book was released on 1987 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Publisher : DIANE Publishing
ISBN 13 : 1428915397
Total Pages : 34 pages
Book Rating : 4.4/5 (289 download)
Download or read book An Incremental Strategy for Calculating Consistent Discrete CFD Sensitivity Derivatives written by and published by DIANE Publishing. This book was released on with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Aeronautics and Space Adm Nasa
Publisher :
ISBN 13 : 9781729126974
Total Pages : 30 pages
Book Rating : 4.1/5 (269 download)
Download or read book A Gridless Euler/Navier-Stokes Solution Algorithm for Complex Two-Dimensional Applications written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-10-22 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of a gridless computational fluid dynamics (CFD) method for the solution of the two-dimensional Euler and Navier-Stokes equations is described. The method uses only clouds of points and does not require that the points be connected to form a grid as is necessary in conventional CFD algorithms. The gridless CFD approach appears to resolve the problems and inefficiencies encountered with structured or unstructured grid methods. As a result, the method offers the greatest potential for accurately and efficiently solving viscous flows about complex aircraft configurations. The method is described in detail, and calculations are presented for standard Euler and Navier-Stokes cases to assess the accuracy and efficiency of the capability. Batina, John T. Langley Research Center RTOP 505-63-50-12...
Author :
Publisher :
ISBN 13 :
Total Pages : 1038 pages
Book Rating : 4.:/5 (319 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Publisher :
ISBN 13 :
Total Pages : 1266 pages
Book Rating : 4.3/5 (91 download)
Download or read book Physics Briefs written by and published by . This book was released on 1990 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Remi Abgrall
Publisher : Elsevier
ISBN 13 : 044463911X
Total Pages : 612 pages
Book Rating : 4.4/5 (446 download)
Download or read book Handbook of Numerical Methods for Hyperbolic Problems written by Remi Abgrall and published by Elsevier. This book was released on 2017-01-16 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage
