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Author :
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (317 download)
Download or read book Second- and Third-order Upwind Difference Schemes for Hyperbolic Conservation Laws written by and published by . This book was released on 1984 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B. E. McDonald
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (227 download)
Download or read book A Second Order Upwind Flux Method for Hyperbolic Conservation Laws written by B. E. McDonald and published by . This book was released on 1983 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present first- and second-order upwind schemes employing a numerically calculated characteristic speed direction and combine them into a simple monotonicity preserving hybrid scheme using the method of flux correction. The first-order scheme is constructed to maintain accuracy at flow reversal points. The hybrid scheme computes a provisional update from the first-order scheme, and then filters the second-order corrections to prevent occurrence of new extrema. We derive analytic solutions for a developing N-wave shock, and compare computed versus analytic results for two different N waves and for a third case involving linear advection of a square wave. Results are given with and without the second-order correction. The second-order results are always superior to first-order results, with the most dramatic difference occurring for the case of linear advection. The results suggest that higher order differences could be substituted in the hybrid scheme to reduce truncation error even further.
Author : M.Yousuff Hussaini
Publisher : Springer Science & Business Media
ISBN 13 : 3642605435
Total Pages : 587 pages
Book Rating : 4.6/5 (426 download)
Download or read book Upwind and High-Resolution Schemes written by M.Yousuff Hussaini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.
Author : H. C. Yee
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (317 download)
Download or read book Upwind and Symmetric Shock-capturing Schemes written by H. C. Yee and published by . This book was released on 1987 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Remi Abgrall
Publisher : Elsevier
ISBN 13 : 0444637958
Total Pages : 668 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 2016-11-17 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. 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 readily understand their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications Written by leading subject experts in each field who provide breadth and depth of content coverage
Author : Chi-Wang Shu
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (317 download)
Download or read book Essentially Non-oscillatory and Weighted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws written by Chi-Wang Shu and published by . This book was released on 1997 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : LEVEQUE
Publisher : Birkhäuser
ISBN 13 : 3034851162
Total Pages : 221 pages
Book Rating : 4.0/5 (348 download)
Download or read book Numerical Methods for Conservation Laws written by LEVEQUE and published by Birkhäuser. This book was released on 2013-11-11 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
Author : Institute for Computer Applications in Science and Engineering
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (317 download)
Download or read book Non-oscillatory Central Differencing for Hyperbolic Conservation Laws written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1988 with total page 60 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 : Frederick William Solomon
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (82 download)
Download or read book Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws written by Frederick William Solomon and published by . This book was released on 1981 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Hirsch
Publisher : Elsevier
ISBN 13 : 0080550029
Total Pages : 696 pages
Book Rating : 4.0/5 (85 download)
Download or read book Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics written by Charles Hirsch and published by Elsevier. This book was released on 2007-07-18 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book is a self-contained introduction to computational fluid dynamics (CFD). It covers the fundamentals of the subject and is ideal as a text or a comprehensive reference to CFD theory and practice. New approach takes readers seamlessly from first principles to more advanced and applied topics. Presents the essential components of a simulation system at a level suitable for those coming into contact with CFD for the first time, and is ideal for those who need a comprehensive refresher on the fundamentals of CFD. Enhanced pedagogy features chapter objectives, hands-on practice examples and end of chapter exercises. Extended coverage of finite difference, finite volume and finite element methods. New chapters include an introduction to grid properties and the use of grids in practice. Includes material on 2-D inviscid, potential and Euler flows, 2-D viscous flows and Navier-Stokes flows to enable the reader to develop basic CFD simulations. Includes best practice guidelines for applying existing commercial or shareware CFD tools.
Author :
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (3 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author : Edwige Godlewski
Publisher : Springer Science & Business Media
ISBN 13 : 1461207134
Total Pages : 519 pages
Book Rating : 4.4/5 (612 download)
Download or read book Numerical Approximation of Hyperbolic Systems of Conservation Laws written by Edwige Godlewski and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is devoted to the theory and approximation of nonlinear hyper bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart (1991) (hereafter noted G. R. ), though the present volume can be read independently. This earlier publication, apart from a first chap ter, especially covered the scalar case. Thus, we shall detail here neither the mathematical theory of multidimensional scalar conservation laws nor their approximation in the one-dimensional case by finite-difference con servative schemes, both of which were treated in G. R. , but we shall mostly consider systems. The theory for systems is in fact much more difficult and not at all completed. This explains why we shall mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader's convenience, we shall resume in this Introduction the notions that are necessary for a self-sufficient understanding of this book -the main definitions of hyperbolicity, weak solutions, and entropy present the practical examples that will be thoroughly developed in the following chapters, and recall the main results concerning the scalar case.
Author : B. Cockburn
Publisher : Springer
ISBN 13 : 3540498044
Total Pages : 446 pages
Book Rating : 4.5/5 (44 download)
Download or read book Advanced Numerical Approximation of Nonlinear Hyperbolic Equations written by B. Cockburn and published by Springer. This book was released on 2006-11-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.
Author :
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (317 download)
Download or read book On the Implementation of a Class of Upwind Schemes for System of Hyperbolic Conservation Laws written by and published by . This book was released on 1985 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1110 pages
Book Rating : 4.U/5 (183 download)
Download or read book Monthly Weather Review written by and published by . This book was released on 1991 with total page 1110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Rionero
Publisher : Springer Science & Business Media
ISBN 13 : 8847003547
Total Pages : 305 pages
Book Rating : 4.8/5 (47 download)
Download or read book Trend and Applications of Mathematics to Mechanics written by S. Rionero and published by Springer Science & Business Media. This book was released on 2006-09-11 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a collection of recent theoretical and methodological advances which can provide support and stimulus to scientists and scholars involved in research activity in the fields of interest.
