Shock Capturing Methods For Free Surface Shallow Flows
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Shock Capturing Methods For Free Surface Shallow Flows
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Author : E. F. Toro
language : en
Publisher:
Release Date : 2001-03-30
Shock Capturing Methods For Free Surface Shallow Flows 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 2001-03-30 with Mathematics categories.
The first of its kind in the field, this title examines the use of modern, shock-capturing finite volume numerical methods, in the solution of partial differential equations associated with free-surface flows, which satisfy the shallow-water type assumption (including shallow water flows, dense gases and mixtures of materials as special samples). Starting with a general presentation of the governing equations for free-surface shallow flows and a discussion of their physical applicability, the book goes on to analyse the mathematical properties of the equations, in preparation for the presentation of the exact solution of the Riemann problem for wet and dry beds. After a general introduction to the finite volume approach, several chapters are then devoted to describing a variety of modern shock-capturing finite volume numerical methods, including Godunov methods of the upwind and centred type. Approximate Riemann solvers following various approaches are studied in detail as is their use in the Godunov approach for constructing low and high-order upwind TVD methods. Centred TVD schemes are also presented. Two chapters are then devoted to practical applications. The book finishes with an overview of potential practical applications of the methods studied, along with appropriate reference to sources of further information. Features include: * Algorithmic and practical presentation of the methods * Practical applications such as dam-break modelling and the study of bore reflection patterns in two space dimensions * Sample computer programs and accompanying numerical software (details available at www.numeritek.com) The book is suitable for teaching postgraduate students of civil, mechanical, hydraulic and environmental engineering, meteorology, oceanography, fluid mechanics and applied mathematics. Selected portions of the material may also be useful in teaching final year undergraduate students in the above disciplines. The contents will also be of interest to research scientists and engineers in academia and research and consultancy laboratories.
Non Hydrostatic Free Surface Flows
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Author : Oscar Castro-Orgaz
language : en
Publisher: Springer
Release Date : 2017-03-27
Non Hydrostatic Free Surface Flows written by Oscar Castro-Orgaz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Science categories.
This book provides essential information on the higher mathematical level of approximation over the gradually varied flow theory, also referred to as the Boussinesq-type theory. In this context, it presents higher order flow equations, together with their applications in a broad range of pertinent engineering and environmental problems, including open channel, groundwater, and granular material flows.
Shallow Flows
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Author : Gerhard H. Jirka
language : en
Publisher: Taylor & Francis
Release Date : 2004-09-15
Shallow Flows written by Gerhard H. Jirka and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-15 with Science categories.
This text presents the key findings of the International Symposium held in Delft in 2003, which explored the process of shallow flows. Shallow flows are found in lowland rivers, lakes, estuaries, bays, coastal areas and in density-stratified atmospheres, and may be observed in puddles, as in oceans. They impact on the life and work of a wide variety of readers, who are here provided with a clear overview of the subject. Shallow flows are intrinsically turbulent. On one hand, there are strongly three-dimensional, small-scale turbulent motions and on the other hand, large-scale quasi-two-dimensional turbulence. This book explains and examines these differences and their effects with sections on transport processes in shallow flows; shallow jets, wakes and mixing layers; stratified and rotating flows in ocean and atmosphere; river and channel flows; and numerical modelling and turbulence closure techniques. The reader is provided with the pick of current studies and a fresh approach to the subject, with expert examination of a fascinating and crucial phenomenon of our world's water systems.
Shallow Water Hydraulics
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Author : Oscar Castro-Orgaz
language : en
Publisher: Springer Nature
Release Date : 2019-11-08
Shallow Water Hydraulics written by Oscar Castro-Orgaz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-08 with Mathematics categories.
This book presents the theory and computation of open channel flows, using detailed analytical, numerical and experimental results. The fundamental equations of open channel flows are derived by means of a rigorous vertical integration of the RANS equations for turbulent flow. In turn, the hydrostatic pressure hypothesis, which forms the core of many shallow water hydraulic models, is scrutinized by analyzing its underlying assumptions. The book’s main focus is on one-dimensional models, including detailed treatments of unsteady and steady flows. The use of modern shock capturing finite difference and finite volume methods is described in detail, and the quality of solutions is carefully assessed on the basis of analytical and experimental results. The book’s unique features include: • Rigorous derivation of the hydrostatic-based shallow water hydraulic models • Detailed treatment of steady open channel flows, including the computation of transcritical flow profiles • General analysis of gate maneuvers as the solution of a Riemann problem • Presents modern shock capturing finite volume methods for the computation of unsteady free surface flows • Introduces readers to movable bed and sediment transport in shallow water models • Includes numerical solutions of shallow water hydraulic models for non-hydrostatic steady and unsteady free surface flows This book is suitable for both undergraduate and graduate level students, given that the theory and numerical methods are progressively introduced starting with the basics. As supporting material, a collection of source codes written in Visual Basic and inserted as macros in Microsoft Excel® is available. The theory is implemented step-by-step in the codes, and the resulting programs are used throughout the book to produce the respective solutions.
Meshfree Methods For Partial Differential Equations Viii
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Author : Michael Griebel
language : en
Publisher: Springer
Release Date : 2017-04-05
Meshfree Methods For Partial Differential Equations Viii written by Michael Griebel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-05 with Computers categories.
There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s. The growing interest in these methods is in part due to the fact that they offer extremely flexible numerical tools and can be interpreted in a number of ways. For instance, meshfree methods can be viewed as a natural extension of classical finite element and finite difference methods to scattered node configurations with no fixed connectivity. Furthermore, meshfree methods have a number of advantageous features that are especially attractive when dealing with multiscale phenomena: A-priori knowledge about the solution’s particular local behavior can easily be introduced into the meshfree approximation space, and coarse scale approximations can be seamlessly refined by adding fine scale information. However, the implementation of meshfree methods and their parallelization also requires special attention, for instance with respect to numerical integration.
Advanced Computational Methods In Science And Engineering
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Author : Barry Koren
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-29
Advanced Computational Methods In Science And Engineering written by Barry Koren 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 2010-04-29 with Mathematics categories.
The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers of the book is a well-balanced, up-to-date overview over the field of computational science and engineering, through in-depth articles by specialists from the separate disciplines.
Advanced Numerical Models For Simulating Tsunami Waves And Runup
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Author : Philip L. F. Liu
language : en
Publisher: World Scientific
Release Date : 2008
Advanced Numerical Models For Simulating Tsunami Waves And Runup written by Philip L. F. Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This review volume is divided into two parts. The first part includes five review papers on various numerical models. Pedersen provides a brief but thorough review of the theoretical background for depth-integrated wave equations, which are employed to simulate tsunami runup. LeVeque and George describe high-resolution finite volume methods for solving the nonlinear shallow water equations. The focus of their discussion is on the applications of these methods to tsunami runup.In recent years, several advanced 3D numerical models have been introduced to the field of coastal engineering to calculate breaking waves and wave-structure interactions. These models are still under development and are at different stages of maturity. Rogers and Dalrymple discuss the Smooth Particles Hydrodynamics (SPH) method, which is a meshless method. Wu and Liu present their Large Eddy Simulation (LES) model for simulating the landslide-generated waves. Finally, Frandsen introduces the lattice Boltzmann method with the consideration of a free surface.The second part of the review volume contains the descriptions of the benchmark problems with eleven extended abstracts submitted by the workshop participants. All these papers are compared with their numerical results with benchmark solutions.
Efficient Numerical Methods And Information Processing Techniques For Modeling Hydro And Environmental Systems
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Author : Reinhard Hinkelmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-10
Efficient Numerical Methods And Information Processing Techniques For Modeling Hydro And Environmental Systems written by Reinhard Hinkelmann 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 2006-08-10 with Science categories.
Numerical simulation models have become indispensable in hydro- and environmental sciences and engineering. This monograph presents a general introduction to numerical simulation in environment water, based on the solution of the equations for groundwater flow and transport processes, for multiphase and multicomponent flow and transport processes in the subsurface as well as for flow and transport processes in surface waters. It displays in detail the state of the art of discretization and stabilization methods (e.g. finite-difference, finite-element, and finite-volume methods), parallel methods, and adaptive methods as well as fast solvers, with particular focus on explaining the interactions of the different methods. The book gives a brief overview of various information-processing techniques and demonstrates the interactions of the numerical methods with the information-processing techniques, in order to achieve efficient numerical simulations for a wide range of applications in environment water.
Hyperbolic Problems Theory Numerics Applications
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Author : Sylvie Benzoni-Gavage
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-12
Hyperbolic Problems Theory Numerics Applications written by Sylvie Benzoni-Gavage 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 2008-01-12 with Mathematics categories.
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.
Flood Risk Management In Europe
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Author : Selina Begum
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-17
Flood Risk Management In Europe written by Selina Begum 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 2007-06-17 with Science categories.
In recent years major floods have occurred across Europe causing serious damages and huge financial implications. Flood risk and vulnerability is increasing with increased frequency of occurrence of extreme events due to climate change, changes in land-use, encroachment into floodplains and increasing economic value of assets and businesses. Human lives, property, environment and socio-economics are at increasing risk due to flooding. Recent alarming events in Central Europe, UK and The Netherlands have provided renewed impetus to the development of improved policies and techniques for flood risk management across Europe. Sharing of knowledge and understanding of the practical problems, dilemmas and challenges will aid in the development and implementation of new technologies and strategies of the challenging issues of flood risk management in Europe. This valuable edition brings together 26 peer reviewed articles on technical, socio-economic, environmental and policy aspects of flood risk management. These articles contribute to the five sections with the general themes: i) flood risk management practice, ii) flood events and impacts, iii) flood analysis and modelling iv) flood forecasting and v) flood risk management policy. Some emerging technologies are presented and several future challenges are identified. Thus the book Flood Risk Management in Europe: Innovation in Policy and Practice with a multi-disciplinary combination of articles will form an excellent reference for the engineers, scientists, planners, policy-makers, researchers, insurance industry and all the practitioners involved in flood risk management, and its sub-disciplines in engineering, hydrology, environmental studies, coastal management, economics and public policy.