Rieman Solvers For Water Hammer Simulations By Godunov Method
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Rieman Solvers For Water Hammer Simulations By Godunov Method
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Author : V. Guinot
language : en
Publisher:
Release Date : 2000
Rieman Solvers For Water Hammer Simulations By Godunov Method written by V. Guinot and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Godunov Type Schemes
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Author : V. Guinot
language : en
Publisher: Elsevier
Release Date : 2003-01-29
Godunov Type Schemes written by V. Guinot and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-29 with Mathematics categories.
Godunov-type schemes appear as good candidates for the next generation of commercial modelling software packages, the capability of which to handle discontinuous solution will be a basic requirement. It is in the interest of practising engineers and developers to be familiar with the specific features of discontinuous wave propagation problems and to be aware of the possibilities offered by Godunov-type schemes for their solution. This book aims to present the principles of such schemes in a way that is easily understandable to practising engineers. The features of hyperbolic conservation laws and their solutions are presented in the first two chapters. The principles of Godunov-type schemes are outlined in a third chapter. Chapters 4 and 5 cover the application of the original Godunov scheme to scalar laws and to hyperbolic systems of conservation laws respectively. Chapter 6 is devoted to higher-order schemes in one dimension of space. The design of such a scheme is described for the general case and applied to some well-known schemes such as the MUSCL and PPM schemes. Chapter 7 focuses on multidimensional problems. The classical alternate directions and finite volume approaches are presented together with the wave splitting technique that is described in depth with an application to two-dimensional systems. Chapter 8 deals with large-time step algorithms. These include front tracking-based methods, explicit-implicit techniques and the time-line interpolation technique. Three appendices provide notions on accuracy and stability issues, Riemann solvers and the user instructions for the computational codes provided in the enclosed CD-ROM.
Riemann Solvers And Numerical Methods For Fluid Dynamics
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Author : Eleuterio F. Toro
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Riemann Solvers And Numerical Methods For Fluid Dynamics written by Eleuterio F. Toro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
In 1917, the British scientist L. F. Richardson made the first reported attempt to predict the weather by solving partial differential equations numerically, by hand! It is generally accepted that Richardson's work, though unsuccess ful, marked the beginning of Computational Fluid Dynamics (CFD), a large branch of Scientific Computing today. His work had the four distinguishing characteristics of CFD: a PRACTICAL PROBLEM to solve, a MATHEMATICAL MODEL to represent the problem in the form of a set of partial differen tial equations, a NUMERICAL METHOD and a COMPUTER, human beings in Richardson's case. Eighty years on and these four elements remain the pillars of modern CFD. It is therefore not surprising that the generally accepted definition of CFD as the science of computing numerical solutions to Partial Differential or Integral Equations that are models for fluid flow phenomena, closely embodies Richardson's work. COMPUTERS have, since Richardson's era, developed to unprecedented levels and at an ever decreasing cost. PRACTICAL PROBLEMS to solved nu merically have increased dramatically. In addition to the traditional demands from Meteorology, Oceanography, some branches of Physics and from a range of Engineering Disciplines, there are at present fresh demands from a dynamic and fast-moving manufacturing industry, whose traditional build-test-fix approach is rapidly being replaced by the use of quantitative methods, at all levels. The need for new materials and for decision-making under envi ronmental constraints are increasing sources of demands for mathematical modelling, numerical algorithms and high-performance computing.
Proceedings Of The European Computing Conference
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Author : Nikos Mastorakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-25
Proceedings Of The European Computing Conference written by Nikos Mastorakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-25 with Computers categories.
The European Computing Conference offers a unique forum for establishing new collaborations within present or upcoming research projects, exchanging useful ideas, presenting recent research results, participating in discussions and establishing new academic collaborations, linking university with the industry. Engineers and Scientists working on various areas of Systems Theory, Applied Mathematics, Simulation, Numerical and Computational Methods and Parallel Computing present the latest findings, advances, and current trends on a wide range of topics. This proceedings volume will be of interest to students, researchers, and practicing engineers.
Wave Propagation In Fluids
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Author : Vincent Guinot
language : en
Publisher: John Wiley & Sons
Release Date : 2012-12-27
Wave Propagation In Fluids written by Vincent Guinot and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-27 with Science categories.
This second edition with four additional chapters presents the physical principles and solution techniques for transient propagation in fluid mechanics and hydraulics. The application domains vary including contaminant transport with or without sorption, the motion of immiscible hydrocarbons in aquifers, pipe transients, open channel and shallow water flow, and compressible gas dynamics. The mathematical formulation is covered from the angle of conservation laws, with an emphasis on multidimensional problems and discontinuous flows, such as steep fronts and shock waves. Finite difference-, finite volume- and finite element-based numerical methods (including discontinuous Galerkin techniques) are covered and applied to various physical fields. Additional chapters include the treatment of geometric source terms, as well as direct and adjoint sensitivity modeling for hyperbolic conservation laws. A concluding chapter is devoted to practical recommendations to the modeler. Application exercises with on-line solutions are proposed at the end of the chapters.
Water Hammer Simulations
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Author : S. Mambretti
language : en
Publisher: WIT Press
Release Date : 2013-11-07
Water Hammer Simulations written by S. Mambretti and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-07 with Technology & Engineering categories.
Water Hammer Simulations is a comprehensive guide to modelling transients in closed pipes. The models presented range from those used for the first studies into the field to the most advanced available today. All of the models are described in detail, starting from the simplest to the most complex. Most of the presented models have been implemented in computer codes, which are provided with the book as both executable files and the sources. The use of these programs is explained in the book where they are applied in a number of examples; the results are critically commented, to allow the reader to be able to build an appropriate model for their own use. Suggestions on the most appropriate model to be built and used are provided throughout the book. Laboratory tests and real case applications are also presented and discussed, together with the still unresolved problems in the field. The focus of researcher’s efforts we will be on these issues in the coming years. The book is suitable for professionals working in the field as well as scholars and undergraduate students.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 2005
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mechanical engineering categories.
Riemann Solvers And Numerical Methods For Fluid Dynamics
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Author : Eleuterio F. Toro
language : de
Publisher:
Release Date : 1999
Riemann Solvers And Numerical Methods For Fluid Dynamics written by Eleuterio F. Toro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computational fluid dynamics categories.
This textbook gives a comprehensive and practical treatment of all existing Riemann solvers for compressible fluid dynamics and their use in the upwind method of Godunov and its high-order extensions. Related upwind methods of the Flux Vector Splitting type are also included, as are modern centred TVD methods. Methodologies for solving realistic problems in one, two and three space dimensions for both Cartesian and non-Cartesian geometries are presented in detail. Additional information is provided on further developments of the techniques and possible applications to practical problems in a variety of disciplines. A list of over 400 relevant references is given. The book is most useful for post-graduate students in Applied Mathematics, Engineering, Physics, Computing and other scientific disciplines such as Meteorology, Oceanography, Hydraulics and Chemistry, for example. It can be used as a means for self-study by academics and computational practioners in indusstry and research laboratories or as a teaching aid for postgraduate and final-year undergraduate courses on numerical methods etc.
Mechanics
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Author :
language : en
Publisher:
Release Date : 2002
Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mechanics, Applied categories.
A Linearised Riemann Solver For Godunov Type Methods
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Author : E. F. Toro
language : en
Publisher:
Release Date : 1991
A Linearised Riemann Solver For Godunov Type Methods written by E. F. Toro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Fluid dynamics categories.