Second- and Third-order Upwind Difference Schemes for Hyperbolic Conservation Laws

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Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Second- and Third-order Upwind Difference Schemes for Hyperbolic Conservation Laws by :

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:

Handbook of Numerical Methods for Hyperbolic Problems

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Publisher : Elsevier
ISBN 13 : 0444637958
Total Pages : 668 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Handbook of Numerical Methods for Hyperbolic Problems by : Remi Abgrall

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

Upwind and High-Resolution Schemes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642605435
Total Pages : 587 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Upwind and High-Resolution Schemes by : M.Yousuff Hussaini

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.

Upwind and Symmetric Shock-capturing Schemes

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Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Upwind and Symmetric Shock-capturing Schemes by : H. C. Yee

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:

Numerical Methods for Conservation Laws

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Publisher : Birkhäuser
ISBN 13 : 3034851162
Total Pages : 221 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Numerical Methods for Conservation Laws by : LEVEQUE

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.

Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics

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Publisher : Elsevier
ISBN 13 : 0080550029
Total Pages : 696 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Numerical Computation of Internal and External Flows: The Fundamentals of Computational Fluid Dynamics by : Charles Hirsch

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.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

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.

Innovative Methods for Numerical Solutions of Partial Differential Equations

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Publisher : World Scientific
ISBN 13 : 9812810811
Total Pages : 418 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Innovative Methods for Numerical Solutions of Partial Differential Equations by : P. L. Roe

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."

Numerical Approximation of Hyperbolic Systems of Conservation Laws

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207134
Total Pages : 519 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Numerical Approximation of Hyperbolic Systems of Conservation Laws by : Edwige Godlewski

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.

On the Implementation of a Class of Upwind Schemes for System of Hyperbolic Conservation Laws

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Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis On the Implementation of a Class of Upwind Schemes for System of Hyperbolic Conservation Laws by :

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:

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

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Publisher : Springer
ISBN 13 : 3540498044
Total Pages : 446 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advanced Numerical Approximation of Nonlinear Hyperbolic Equations by : B. Cockburn

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.

Fundamentals of Computational Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662046547
Total Pages : 256 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Fundamentals of Computational Fluid Dynamics by : H. Lomax

Download or read book Fundamentals of Computational Fluid Dynamics written by H. Lomax and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.

Hyperbolic Problems: Theory, Numerics, Applications. Volume II

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Publisher : Springer Nature
ISBN 13 : 3031552644
Total Pages : 463 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications. Volume II by : Carlos Parés

Download or read book Hyperbolic Problems: Theory, Numerics, Applications. Volume II written by Carlos Parés and published by Springer Nature. This book was released on with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monthly Weather Review

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Publisher :
ISBN 13 :
Total Pages : 1110 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Monthly Weather Review by :

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:

ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA)

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Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA) by : Jay C. Hardin

Download or read book ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA) written by Jay C. Hardin and published by . This book was released on 1995 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Trend and Applications of Mathematics to Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 8847003547
Total Pages : 305 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Trend and Applications of Mathematics to Mechanics by : S. Rionero

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.

Numerical Methods for Hyperbolic Equations

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Publisher : CRC Press
ISBN 13 : 041562150X
Total Pages : 436 pages
Book Rating : 4.4/5 (156 download)

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Book Synopsis Numerical Methods for Hyperbolic Equations by : Elena Vázquez-Cendón

Download or read book Numerical Methods for Hyperbolic Equations written by Elena Vázquez-Cendón and published by CRC Press. This book was released on 2012-11-05 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics covered include: • Recent advances in the numerical computation of environmental conservation laws with source terms • Multiphase flow and porous media • Numerical methods in astrophysics • Seismology and geophysics modelling • High order methods for hyperbolic conservation laws • Numerical methods for reactive flows • Finite volume and discontinous Galerkin schemes for stiff source term problems • Methods and models for biomedical problems • Numerical methods for reactive flows The research interest of Eleuterio Toro, born in Chile on 16th July 1946, is reflected in Numerical Methods for Hyperbolic Equations, and focuses on: numerical methods for partial differential equations, with particular emphasis on methods for hyperbolic equations; design and application of new algorithms; hyperbolic partial differential equations as mathematical models of various types of processes; mathematical modelling and simulation of physico/chemical processes that include wave propagation phenomena; modelling of multiphase flows; application of models and methods to real problems. Eleuterio Toro received several honours and distinctions, including the honorary title OBE from Queen Elizabeth II (Buckingham Palace, London 2000); Distinguished Citizen of the City of Carahue (Chile, 2001); Life Fellow, Claire Hall, University of Cambridge (UK, 2003); Fellow of the Indian Society for Shock Wave Research (Bangalore, 2005); Doctor Honoris Causa (Universidad de Santiago de Chile, 2008); William Penney Fellow, University of Cambridge (UK, 2010); Doctor Honoris Causa (Universidad de la Frontera, Chile, 2012). Professor Toro is author of two books, editor of two books and author of more than 260 research works. In the last ten years he has been invited and keynote speaker in more than 100 scientific events. Professor Toro has held many visiting appointments round the world, which include several European countries, Japan, China and USA.