Computational Algorithms For Shallow Water Equations

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Computational Algorithms For Shallow Water Equations
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Author : Eleuterio F. Toro
language : en
Publisher: Springer Nature
Release Date : 2024-08-01
Computational Algorithms For Shallow Water Equations written by Eleuterio F. Toro and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-01 with Mathematics categories.
This book is a thoroughly revised and enlarged version of “Shock-capturing methods for free-surface shallow flows", first published by Wiley and Sons, 2001. The book describes mathematically free-surface flows through partial differential equations and includes modern shock-capturing methods to solve them, with strong emphasis on finite volume upwind and centred methods. Such equations and methods are fundamental in simulating shallow water flows but also atmospheric flows, dispersion of dense gases and the dynamics of mixtures of materials. The book is accompanied by numerical software in the form of sample computer programs as supplementary material. In this new edition, additional sections have been introduced to existing chapters. Also, new chapters have been included; one contains a review of the mathematics of hyperbolic partial differential equations, another introduces the numerical analysis of partial differential equations and another one deals with advanced very-high order numerical methods in the finite volume and discontinuous Galerkin frameworks. Furthermore, comprehensive modifications and corrections have been made throughout various sections of the text, and numerous figures depicting numerical results have been enhanced. This book is primarily intended for environmental scientists, applied mathematicians and engineers in academia, research laboratories, industry and consultancy organisations. Senior undergraduate and postgraduate students involved with mathematical modelling and computational methods for environmental problems will benefit from studying this book. Lecturers could use most of the material for courses on numerical methods for wave propagation problems in hydraulics, oceanography, atmospherics and other geophysical fluid dynamics contexts.
Data Assimilation For Atmospheric Oceanic And Hydrologic Applications Vol Iii
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Author : Seon Ki Park
language : en
Publisher: Springer
Release Date : 2016-12-26
Data Assimilation For Atmospheric Oceanic And Hydrologic Applications Vol Iii written by Seon Ki Park and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-26 with Science categories.
This book contains the most recent progress in data assimilation in meteorology, oceanography and hydrology including land surface. It spans both theoretical and applicative aspects with various methodologies such as variational, Kalman filter, ensemble, Monte Carlo and artificial intelligence methods. Besides data assimilation, other important topics are also covered including targeting observation, sensitivity analysis, and parameter estimation. The book will be useful to individual researchers as well as graduate students for a reference in the field of data assimilation.
Proceedings Of The Seventh Siam Conference On Parallel Processing For Scientific Computing
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Author : David H. Bailey
language : en
Publisher: SIAM
Release Date : 1995-01-01
Proceedings Of The Seventh Siam Conference On Parallel Processing For Scientific Computing written by David H. Bailey and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Science categories.
Proceedings -- Parallel Computing.
Uncertainty Quantification In Computational Fluid Dynamics
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Author : Hester Bijl
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-20
Uncertainty Quantification In Computational Fluid Dynamics written by Hester Bijl 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 2013-09-20 with Mathematics categories.
Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.
Computational Methods For Data Evaluation And Assimilation
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Author : Dan Gabriel Cacuci
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Computational Methods For Data Evaluation And Assimilation written by Dan Gabriel Cacuci and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
Data evaluation and data combination require the use of a wide range of probability theory concepts and tools, from deductive statistics mainly concerning frequencies and sample tallies to inductive inference for assimilating non-frequency data and a priori knowledge. Computational Methods for Data Evaluation and Assimilation presents interdiscipli
Computational Techniques For Modeling Atmospheric Processes
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Author : Prusov, Vitaliy
language : en
Publisher: IGI Global
Release Date : 2017-06-16
Computational Techniques For Modeling Atmospheric Processes written by Prusov, Vitaliy and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-16 with Science categories.
Meteorology has made significant strides in recent years due to the development of new technologies. With the aid of the latest instruments, the analysis of atmospheric data can be optimized. Computational Techniques for Modeling Atmospheric Processes is an academic reference source that encompasses novel methods for the collection and study of meteorological data. Including a range of perspectives on pertinent topics such as air pollution, parameterization, and thermodynamics, this book is an ideal publication for researchers, academics, practitioners, and students interested in instrumental methods in the study of atmospheric processes.
Numerical Techniques For Global Atmospheric Models
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Author : Peter H. Lauritzen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-29
Numerical Techniques For Global Atmospheric Models written by Peter H. Lauritzen 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 2011-03-29 with Mathematics categories.
This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.
Shallow Water Equations In Hydraulics Modeling Numerics And Applications
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Author : Anargiros I. Delis
language : en
Publisher:
Release Date : 2022
Shallow Water Equations In Hydraulics Modeling Numerics And Applications written by Anargiros I. Delis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
This Special Issue aims to provide a forum for the latest advances in hydraulic modeling based on the use of shallow water and related models as well as their novel application in practical engineering. Original contributions, including those in but not limited to the following areas, will be considered for publication: new conceptual models and applications, flood inundation and routing, sediment transport and morphodynamic modelling, pollutant transport in water, irrigation and drainage modeling, numerical simulation in hydraulics, novel numerical methods for the shallow water equations and extended models, case studies, and high-performance computing.
The Dawn Of Massively Parallel Processing In Meteorology
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Author : Geerd-R. Hoffmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Dawn Of Massively Parallel Processing In Meteorology written by Geerd-R. Hoffmann 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 2012-12-06 with Science categories.
The Dawn of Massively Parallel Processing in Meteorology presents collected papers of the third workshop on this topic held at the European Centre of Medium-Range Weather Forecasts (ECMWF). It provides an insight into the state of the art in using parallel processors operationally, and allows extrapolation to other time-critical applications. It also documents the advent of massively parallel systems to cope with these applications.
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 Science 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.