Riemann Problems and Jupyter Solutions

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Publisher : SIAM
ISBN 13 : 1611976219
Total Pages : 179 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Riemann Problems and Jupyter Solutions by : David I. Ketcheson

Download or read book Riemann Problems and Jupyter Solutions written by David I. Ketcheson and published by SIAM. This book was released on 2020-06-26 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity. The solution of the Riemann problem captures essential information about these models and is the key ingredient in modern numerical methods for their solution. This book covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem. The emphasis is on the general ideas, but each chapter delves into a particular application. Riemann Problems and Jupyter Solutions is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations, allowing readers to grasp how the concepts presented are affected by important parameters and to experiment by varying those parameters themselves. The only interactive book focused entirely on the Riemann problem, it develops each concept in the context of a specific physical application, helping readers apply physical intuition in learning mathematical concepts. Graduate students and researchers working in the analysis and/or numerical solution of hyperbolic PDEs will find this book of interest. This includes mathematicians, as well as scientists and engineers, working on wave propagation problems. Educators interested in developing instructional materials using Jupyter notebooks will also find this book useful. The book is appropriate for courses in Numerical Methods for Hyperbolic PDEs and Analysis of Hyperbolic PDEs, and it can be a great supplement for courses in computational fluid dynamics, acoustics, and gas dynamics.

Turbulent Flow Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 0306484218
Total Pages : 390 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Turbulent Flow Computation by : D. Drikakis

Download or read book Turbulent Flow Computation written by D. Drikakis and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: In various branches of fluid mechanics, our understanding is inhibited by the presence of turbulence. Although many experimental and theoretical studies have significantly helped to increase our physical understanding, a comp- hensive and predictive theory of turbulent flows has not yet been established. Therefore, the prediction of turbulent flow relies heavily on simulation stra- gies. The development of reliable methods for turbulent flow computation will have a significant impact on a variety of technological advancements. These range from aircraft and car design, to turbomachinery, combustors, and process engineering. Moreover, simulation approaches are important in materials - sign, prediction of biologically relevant flows, and also significantly contribute to the understanding of environmental processes including weather and climate forecasting. The material that is compiled in this book presents a coherent account of contemporary computational approaches for turbulent flows. It aims to p- vide the reader with information about the current state of the art as well as to stimulate directions for future research and development. The book puts part- ular emphasis on computational methods for incompressible and compressible turbulent flows as well as on methods for analysing and quantifying nume- cal errors in turbulent flow computations. In addition, it presents turbulence modelling approaches in the context of large eddy simulation, and unfolds the challenges in the field of simulations for multiphase flows and computational fluid dynamics (CFD) of engineering flows in complex geometries. Apart from reviewing main research developments, new material is also included in many of the chapters.

Numerical Methods for the Euler Equations of Fluid Dynamics

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Publisher : SIAM
ISBN 13 : 9780898712001
Total Pages : 524 pages
Book Rating : 4.7/5 (12 download)

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Book Synopsis Numerical Methods for the Euler Equations of Fluid Dynamics by : F. Angrand

Download or read book Numerical Methods for the Euler Equations of Fluid Dynamics written by F. Angrand and published by SIAM. This book was released on 1985-01-01 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.X/5 (4 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 380 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.

Singular Limits in Thermodynamics of Viscous Fluids

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Publisher : Springer Science & Business Media
ISBN 13 : 3764388439
Total Pages : 411 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Singular Limits in Thermodynamics of Viscous Fluids by : Eduard Feireisl

Download or read book Singular Limits in Thermodynamics of Viscous Fluids written by Eduard Feireisl and published by Springer Science & Business Media. This book was released on 2009-03-28 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects

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Publisher : Springer Science & Business Media
ISBN 13 : 3322878716
Total Pages : 623 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects by : Andrea Donato

Download or read book Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects written by Andrea Donato and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 623 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.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1987 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

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Author :
Publisher : Springer Nature
ISBN 13 : 3030396479
Total Pages : 658 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 by : Spencer J. Sherwin

Download or read book Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 written by Spencer J. Sherwin and published by Springer Nature. This book was released on 2020-08-11 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book features a selection of high-quality papers from the presentations at the International Conference on Spectral and High-Order Methods 2018, offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.

Computational Aerodynamics

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Publisher : Cambridge University Press
ISBN 13 : 1108837883
Total Pages : 627 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Computational Aerodynamics by : Antony Jameson

Download or read book Computational Aerodynamics written by Antony Jameson and published by Cambridge University Press. This book was released on 2022-09 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the design and analysis of numerical algorithms for aerodynamics. Ideal for graduates, researchers, and professionals in the field.

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.

NASA SP.

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Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA SP. by :

Download or read book NASA SP. written by and published by . This book was released on 1986 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

I do like CFD, VOL.1, Second Edition

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Author :
Publisher : Lulu.com
ISBN 13 : 1304827933
Total Pages : 306 pages
Book Rating : 4.3/5 (48 download)

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Book Synopsis I do like CFD, VOL.1, Second Edition by : Katate Masatsuka

Download or read book I do like CFD, VOL.1, Second Edition written by Katate Masatsuka and published by Lulu.com. This book was released on 2009-02-11 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Version 2.9 (May. 2024): This is a unique and highly technical book on Computational Fluid Dynamics (CFD). The first half talks about mathematical foundations and governing equations ranging from simple model equations (advection/diffusion, Euler-Tricomi, Cauchy-Riemann, Burgers, etc.) used for algorithm development to the incompressible/compressible Euler and Navier-Stokes equations in various forms with complete Jacobians and eigen-structures in 1, 2, and 3 dimensions. The other half talks about general methods for deriving exact solutions (separation of variables, transformation, superposition, etc.) and numerous exact solutions that can be readily used for accuracy verification of a CFD code (Ringleb's flow, Fraenkel's flow, boundary layer, viscous shock structure, etc.). This book can be a very useful resource for students studying basics of CFD as well as researchers/practitioners in CFD. - PDF version is available at cfdbooks.com. [Note: PDF does not contain some contents of the Printed version.]

Computational Fluid Dynamics '94

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Publisher :
ISBN 13 :
Total Pages : 1056 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Computational Fluid Dynamics '94 by : Siegfried Wagner

Download or read book Computational Fluid Dynamics '94 written by Siegfried Wagner and published by . This book was released on 1994 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work consists of the proceedings, of the invited lectures and the special technological sessions of the Second European Computational Fluid Dynamics Conference, September 94, Stuttgart, Germany.

Tenth International Conference on Numerical Methods in Fluid Dynamics

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Publisher : Springer
ISBN 13 :
Total Pages : 744 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Tenth International Conference on Numerical Methods in Fluid Dynamics by : Feng Gan Zhuang

Download or read book Tenth International Conference on Numerical Methods in Fluid Dynamics written by Feng Gan Zhuang and published by Springer. This book was released on 1986-11 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Fluid Dynamics

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Author :
Publisher : Elsevier
ISBN 13 : 0080529674
Total Pages : 491 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computational Fluid Dynamics by : Jiri Blazek

Download or read book Computational Fluid Dynamics written by Jiri Blazek and published by Elsevier. This book was released on 2005-12-20 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today's CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.

Time-Dependent Problems and Difference Methods

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Publisher : John Wiley & Sons
ISBN 13 : 1118548523
Total Pages : 464 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Time-Dependent Problems and Difference Methods by : Bertil Gustafsson

Download or read book Time-Dependent Problems and Difference Methods written by Bertil Gustafsson and published by John Wiley & Sons. This book was released on 2013-07-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods. The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations,Time-Dependent Problems and Difference Methods, Second Edition also includes: High order methods on staggered grids Extended treatment of Summation By Parts operators and their application to second-order derivatives Simplified presentation of certain parts and proofs Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.