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Author : Allan Wittkopf
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (112 download)
Download or read book High Order Wide and Compact Schemes for the Steady Incompressible Navier-Stokes Equations written by Allan Wittkopf and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Murli M. Gupta
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (317 download)
Download or read book High Accuracy Solutions of Incompressible Navier-Stokes Equations written by Murli M. Gupta and published by . This book was released on 1990 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. I. Tolstykh
Publisher : World Scientific
ISBN 13 : 9789810216689
Total Pages : 340 pages
Book Rating : 4.2/5 (166 download)
Download or read book High Accuracy Non-centered Compact Difference Schemes for Fluid Dynamics Applications written by A. I. Tolstykh and published by World Scientific. This book was released on 1994 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book which describes completely the nontraditional difference schemes which combine the ideas of Pad-type approximation and upwind differencing. These possess some favorable properties and can be used to solve various problems in fluid dynamics and related disciplines. They were proposed by the author in the seventies and are extensively used in Russia. However, they seem to be relatively unknown outside the country. In this book, the author presents the theory of the schemes, to provide some sophisticated algorithms for different computational fluid dynamics problems, to supply readers with useful information which would permit them to construct a rich variety of algorithms of this type and to illustrate the applications of these methods to the numerical simulation of various fluid dynamics phenomena, ranging from supersonic viscous flows to some atmosphere and ocean processes. This book is an essential guide for anyone keenly interested in this field.
Author : James R. Scott
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (317 download)
Download or read book A New Flux-conserving Numerical Scheme for the Steady, Incompressible Navier-Stokes Equations written by James R. Scott and published by . This book was released on 1994 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrei I Tolstykh
Publisher : World Scientific
ISBN 13 : 9814502359
Total Pages : 334 pages
Book Rating : 4.8/5 (145 download)
Download or read book High Accuracy Non-centered Compact Difference Schemes For Fluid Dynamics Applications written by Andrei I Tolstykh and published by World Scientific. This book was released on 1994-09-09 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book which describes completely the nontraditional difference schemes which combine the ideas of Padé-type approximation and upwind differencing. These possess some favorable properties and can be used to solve various problems in fluid dynamics and related disciplines. They were proposed by the author in the seventies and are extensively used in Russia. However, they seem to be relatively unknown outside the country. In this book, the author presents the theory of the schemes, to provide some sophisticated algorithms for different computational fluid dynamics problems, to supply readers with useful information which would permit them to construct a rich variety of algorithms of this type and to illustrate the applications of these methods to the numerical simulation of various fluid dynamics phenomena, ranging from supersonic viscous flows to some atmosphere and ocean processes. This book is an essential guide for anyone keenly interested in this field.
Author : Alvin Bayliss
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.F/5 ( download)
Download or read book A Fourth-order Scheme for the Unsteady Compressible Navier-Stokes Equations written by Alvin Bayliss and published by . This book was released on 1985 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matania Ben-artzi
Publisher : World Scientific
ISBN 13 : 1783263016
Total Pages : 315 pages
Book Rating : 4.7/5 (832 download)
Download or read book Navier-stokes Equations In Planar Domains written by Matania Ben-artzi and published by World Scientific. This book was released on 2013-03-07 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as “driven cavity” and “double-driven cavity”.A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a “pure streamfunction” approach. In particular, a complete proof of convergence is given for the full nonlinear problem.This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics./a
Author : Saeed M. Dubas
Publisher :
ISBN 13 :
Total Pages : 258 pages
Book Rating : 4.:/5 (438 download)
Download or read book High Order Schemes for the Navier Stokes Equations written by Saeed M. Dubas and published by . This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Groves Heywood
Publisher : World Scientific
ISBN 13 : 9789810233006
Total Pages : 256 pages
Book Rating : 4.2/5 (33 download)
Download or read book Theory of the Navier-Stokes Equations written by John Groves Heywood and published by World Scientific. This book was released on 1998 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the articles presented at the Third International Conference on ?The Navier-Stokes Equations: Theory and Numerical Methods?, held in Oberwolfach, Germany. The articles are important contributions to a wide variety of topics in the Navier-Stokes theory: general boundary conditions, flow exterior to an obstacle, conical boundary points, the controllability of solutions, compressible flow, non-Newtonian flow, magneto-hydrodynamics, thermal convection, the interaction of fluids with elastic solids, the regularity of solutions, and Rothe's method of approximation.
Author : Robert V. Wilson
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.F/5 ( download)
Download or read book Higher-order Compact Schemes for Numerical Simulation of Incompressible Flows written by Robert V. Wilson and published by . This book was released on 1998 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Friedrich-Karl Hebeker
Publisher : Vieweg+teubner Verlag
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.F/5 ( download)
Download or read book Numerical methods for the Navier-Stokes equations written by Friedrich-Karl Hebeker and published by Vieweg+teubner Verlag. This book was released on 1994 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sonderforschungsbereich "Reactive Flow, Diffusion and Transport" (SFB 359) at Heidelberg University and the IBM Scientific Center Heidelberg have jointly organized a workshop on "Numerical Methods for the Navier-Stokes Equations". This workshop took place from October 25-28, 1993, at the IBM Scientific Center and was attended by 113 scientists from 13 countries. The scientific program consisted of 12 invited and 34 contributed lectures which dealt with various aspects of the numerical solution of the Navier Stokes equations describing compressible as well as incompressible flows. The main topics were stable and higher-order discretization schemes, discretizations based on non-standard variational formulations, operator splitting methods, multilevel and domain decomposition techniques, a posteriori error control and adaptivity, and implementation issues on parallel computers. These proceedings contain 29 of the contributions to the workshop in alphabetical order. The editors thank the Deutsche Forschungsgemeinschaft (DFG) for its financial support through the SFB 359. They also like to express their gratitude to all persons involved in the organization of the workshop and the preparation of these proceedings. F. K. Hebeker April1994 R. Rannacher G. Wittum v CONTENTS Page M. BERZINS, J. M. WARE: Reliable Finite Volume Methods for Navier-Stokes Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . S. BIKKER, H. GREZA, W. KOSCHEL: Parallel Computing and Multigrid Solution on Adaptive Unstructured Meshes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 . . . . . . . . . . . . . . . . X.-C. CAl, W. D. GROPP, D. E. KEYES, M.D. TIDRIRI: Newton-Krylov-Schwarz Methods in CFD........ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 . . . . . . . . . . . . . . . . . . . . H. DANIELS, A. PETERS: PASTIS-3D - A Parallel Finite Element Projection Code for the Time-Dependent Incompressible Navier-Stokes Equations. . . . . . . . . . 31 . . .
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781720572145
Total Pages : 30 pages
Book Rating : 4.5/5 (721 download)
Download or read book Higher Order Time Integration Schemes for the Unsteady Navier-Stokes Equations on Unstructured Meshes written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The efficiency gains obtained using higher-order implicit Runge-Kutta schemes as compared with the second-order accurate backward difference schemes for the unsteady Navier-Stokes equations are investigated. Three different algorithms for solving the nonlinear system of equations arising at each timestep are presented. The first algorithm (NMG) is a pseudo-time-stepping scheme which employs a non-linear full approximation storage (FAS) agglomeration multigrid method to accelerate convergence. The other two algorithms are based on Inexact Newton's methods. The linear system arising at each Newton step is solved using iterative/Krylov techniques and left preconditioning is used to accelerate convergence of the linear solvers. One of the methods (LMG) uses Richardson's iterative scheme for solving the linear system at each Newton step while the other (PGMRES) uses the Generalized Minimal Residual method. Results demonstrating the relative superiority of these Newton's methods based schemes are presented. Efficiency gains as high as 10 are obtained by combining the higher-order time integration schemes with the more efficient nonlinear solvers.Jothiprasad, Giridhar and Mavriplis, Dimitri J. and Caughey, David A. and Bushnell, Dennis M. (Technical Monitor)Langley Research CenterALGORITHMS; NAVIER-STOKES EQUATION; UNSTRUCTURED GRIDS (MATHEMATICS); MEASURE AND INTEGRATION; RUNGE-KUTTA METHOD; AGGLOMERATION; CONVERGENCE; LINEAR SYSTEMS; NONLINEAR SYSTEMS
Author : Ali Cemal Benim
Publisher : Springer Nature
ISBN 13 : 3031666097
Total Pages : 742 pages
Book Rating : 4.0/5 (316 download)
Download or read book Advances in Computational Heat and Mass Transfer written by Ali Cemal Benim and published by Springer Nature. This book was released on with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergio Pirozzoli
Publisher : Springer
ISBN 13 : 3030170128
Total Pages : 250 pages
Book Rating : 4.0/5 (31 download)
Download or read book High-Performance Computing of Big Data for Turbulence and Combustion written by Sergio Pirozzoli and published by Springer. This book was released on 2019-05-28 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides state-of-art information on high-accuracy scientific computing and its future prospects, as applicable to the broad areas of fluid mechanics and combustion, and across all speed regimes. Beginning with the concepts of space-time discretization and dispersion relation in numerical computing, the foundations are laid for the efficient solution of the Navier-Stokes equations, with special reference to prominent approaches such as LES, DES and DNS. The basis of high-accuracy computing is rooted in the concept of stability, dispersion and phase errors, which require the comprehensive analysis of discrete computing by rigorously applying error dynamics. In this context, high-order finite-difference and finite-volume methods are presented. Naturally, the coverage also includes fundamental notions of high-performance computing and advanced concepts on parallel computing, including their implementation in prospective hexascale computers. Moreover, the book seeks to raise the bar beyond the pedagogical use of high-accuracy computing by addressing more complex physical scenarios, including turbulent combustion. Tools like proper orthogonal decomposition (POD), proper generalized decomposition (PGD), singular value decomposition (SVD), recursive POD, and high-order SVD in multi-parameter spaces are presented. Special attention is paid to bivariate and multivariate datasets in connection with various canonical flow and heat transfer cases. The book mainly addresses the needs of researchers and doctoral students in mechanical engineering, aerospace engineering, and all applied disciplines including applied mathematics, offering these readers a unique resource.
Author : M. O. Deville
Publisher : Cambridge University Press
ISBN 13 : 9780521453097
Total Pages : 532 pages
Book Rating : 4.4/5 (53 download)
Download or read book High-Order Methods for Incompressible Fluid Flow written by M. O. Deville and published by Cambridge University Press. This book was released on 2002-08-15 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : National Aeronautics and Space Adm Nasa
Publisher :
ISBN 13 : 9781729109144
Total Pages : 30 pages
Book Rating : 4.1/5 (91 download)
Download or read book Numerical Algorithms for Steady and Unsteady Incompressible Navier-Stokes Equations 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 numerical analysis of the incompressible Navier-Stokes equations are becoming important tools in the understanding of some fluid flow problems which are encountered in research as well as in industry. With the advent of the supercomputers, more realistic problems can be studied with a wider choice of numerical algorithms. An alternative formulation is presented for viscous incompressible flows. The incompressible Navier-Stokes equations are cast in a velocity/vorticity formulation. This formulation consists of solving the Poisson equations for the velocity components and the vorticity transport equation. Two numerical algorithms for the steady two-dimensional laminar flows are presented. The first method is based on the actual partial differential equations. This uses a finite-difference approximation of the governing equations on a staggered grid. The second method uses a finite element discretization with the vorticity transport equation approximated using a Galerkin approximation and the Poisson equations are obtained using a least squares method. The equations are solved efficiently using Newton's method and a banded direct matrix solver (LINPACK). The method is extended to steady three-dimensional laminar flows and applied to a cubic driven cavity using finite difference schemes and a staggered grid arrangement on a Cartesian mesh. The equations are solved iteratively using a plane zebra relaxation scheme. Currently, a two-dimensional, unsteady algorithm is being developed using a generalized coordinate system. The equations are discretized using a finite-volume approach. This work will then be extended to three-dimensional flows. Hafez, Mohammed and Dacles, Jennifer Unspecified Center NCA2-210...
Author : Claudio Canuto
Publisher : Springer Science & Business Media
ISBN 13 : 3540307281
Total Pages : 616 pages
Book Rating : 4.5/5 (43 download)
Download or read book Spectral Methods written by Claudio Canuto and published by Springer Science & Business Media. This book was released on 2007-06-30 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. Material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting. This book is a companion to Spectral Methods: Fundamentals in Single Domains.
