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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 conserv
Engineering sciences. Technology --- Engineering mathematics. --- Differential equations, Hyperbolic --- Wave-motion, Theory of. --- Numerical solutions. --- Differential equations, Hyperbolic - Numerical solutions. --- Undulatory theory --- Mechanics --- Numerical analysis --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Equations ondulatoires non lineaires --- Mécanique numérique des fluides --- Methodes des volumes finis --- Ondes/de choc (aerodynamique)
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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.
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City planning and redevelopment law --- City planning and redevelopment law --- Urbanisme --- Urbanisme --- Codes --- Droit --- Droit --- Codes
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Modelling forms a vital part of all engineering design, yet many hydraulic engineers are not fully aware of the assumptions they make. These assumptions can have important consequences when choosing the best model to inform design decisions.Considering the advantages and limitations of both physical and mathematical methods, this book will help you identify the most appropriate form of analysis for the hydraulic engineering application in question. All models require the knowledge of their background, good data and careful interpretation and so this book also provides guidance on the
Hydraulic engineering --- -Hydrodynamics --- -Hydraulic structures --- 532 --- 556 --- 626/627 --- Structural engineering --- Fluid dynamics --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Data processing --- Mathematical models --- Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- Hydrosphere. Water in general. Hydrology --- Hydraulic engineering and construction. Water, aquatic structures --- 626/627 Hydraulic engineering and construction. Water, aquatic structures --- 532 Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- 556 Hydrosphere. Water in general. Hydrology --- Hydrodynamics --- Hydraulic structures --- Génie hydraulique --- Hydrodynamique --- Ouvrages hydrauliques --- Mathematics --- Informatique --- Mathématiques --- Modèles mathématiques --- Informatique. --- Mathématiques. --- Modèles mathématiques. --- Data processing. --- Mathematics. --- Mathematical models. --- Mathématiques. --- Modèles mathématiques.
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