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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 : Murli M. Gupta
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (128 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 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pavel B. Bochev
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (31 download)
Download or read book Accuracy of Least-squares Methods for the Navier-Stokes Equations written by Pavel B. Bochev and published by . This book was released on 1993 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christopher Paul Mellen
Publisher :
ISBN 13 :
Total Pages : 610 pages
Book Rating : 4.:/5 (222 download)
Download or read book On Improving the Speed and Accuracy of Solution of the Incompressible Navier-Stokes Equations written by Christopher Paul Mellen and published by . This book was released on 1998 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhilin Li
Publisher : SIAM
ISBN 13 : 9780898717464
Total Pages : 348 pages
Book Rating : 4.7/5 (174 download)
Download or read book The Immersed Interface Method written by Zhilin Li and published by SIAM. This book was released on 2006-01-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722042868
Total Pages : 24 pages
Book Rating : 4.0/5 (428 download)
Download or read book Accuracy of Least-Squares Methods for the Navier-Stokes Equations written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-28 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently there has been substantial interest in least-squares finite element methods for velocity-vorticity-pressure formulations of the incompressible Navier-Stokes equations. The main cause for this interest is the fact that algorithms for the resulting discrete equations can be devised which require the solution of only symmetric, positive definite systems of algebraic equations. On the other hand, it is well-documented that methods using the vorticity as a primary variable often yield very poor approximations. Thus, here we study the accuracy of these methods through a series of computational experiments, and also comment on theoretical error estimates. It is found, despite the failure of standard methods for deriving error estimates, that computational evidence suggests that these methods are, at the least, nearly optimally accurate. Thus, in addition to the desirable matrix properties yielded by least-squares methods, one also obtains accurate approximations. Bochev, Pavel B. and Gunzburger, Max D. Glenn Research Center NCC3-233; RTOP 505-90-5K...
Author : Alfio Quarteroni
Publisher : Springer Science & Business Media
ISBN 13 : 3540852689
Total Pages : 551 pages
Book Rating : 4.5/5 (48 download)
Download or read book Numerical Approximation of Partial Differential Equations written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion).
Author : L. Quartapelle
Publisher : Birkhäuser
ISBN 13 : 3034885792
Total Pages : 296 pages
Book Rating : 4.0/5 (348 download)
Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations written by L. Quartapelle and published by Birkhäuser. This book was released on 2013-03-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.
Author : Stuart Eames Rogers
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (317 download)
Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations written by Stuart Eames Rogers and published by . This book was released on 1989 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bo-nan Jiang
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (31 download)
Download or read book Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements written by Bo-nan Jiang and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ann Gaitonde
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (62 download)
Download or read book An Implicit Method for the Time-accurate Solution of the 2D Incompressible Navier-Stokes Equations written by Ann Gaitonde and published by . This book was released on 1995 with total page 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 : Jan Nordström
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (131 download)
Download or read book Accurate Solutions of the Navier-Stokes Equations Despite Unknown Outflow Boundary Data written by Jan Nordström and published by . This book was released on 1995 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : International Business Machines Corporation. Research Division
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (123 download)
Download or read book A Fourth-order Accurate Difference Approximation for the Incompressible Navier-Stokes Equations written by International Business Machines Corporation. Research Division and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stuart Eames Rogers
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (317 download)
Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations in Three-dimensional Generalized Curvilinear Coordinates written by Stuart Eames Rogers and published by . This book was released on 1986 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Grzegorz Łukaszewicz
Publisher : Springer
ISBN 13 : 331927760X
Total Pages : 395 pages
Book Rating : 4.3/5 (192 download)
Download or read book Navier–Stokes Equations written by Grzegorz Łukaszewicz and published by Springer. This book was released on 2016-04-12 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.
Author : Alexander Shatalov
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (63 download)
Download or read book Numerical Solutions of Incompressible Navier-Stokes Equations Using Modified Bernoulli's Law written by Alexander Shatalov and published by . This book was released on 2001 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
