UID:
kobvindex_HPB897838585
Umfang:
1 online resource (xii, 168 pages) :
,
illustrations
ISBN:
9781780400457
,
1780400454
Inhalt:
Computational Hydraulics introduces the concept of modeling and the contribution of numerical methods and numerical analysis to modeling. It provides a concise and comprehensive description of the basic hydraulic principles, and the problems addressed by these principles in the aquatic environment. Flow equations, numerical and analytical solutions are included. The necessary steps for building and applying numerical methods in hydraulics comprise the core of the book and this is followed by a report of different example applications of computational hydraulics: river training effects on flood propagation, water quality modelling of lakes and coastal applications. The theory and exercises included in the book promote learning of concepts within academic environments. Sample codes are made available online for purchasers of the book. Computational Hydraulics is intended for under-graduate and graduate students, researchers, members of governmental and non-governmental agencies and professionals involved in management of the water related problems.
Anmerkung:
Cover; Copyright; Contents; About the author; Preface; Chapter 1: Modelling theory; 1.1 Context and Nature of Modelling; 1.1.1 Classification of models; 1.1.2 Computational Hydraulics; 1.2 Conceptualiation: Building a Model; 1.3 Mathematical Modelling in Practice; 1.3.1 Selecting a proper model; 1.3.2 Testing a model; 1.4 Development and Application of Models; Chapter 2: Modelling water related problems; 2.1 Basic Conservation Equations; 2.1.1 Conservation of mass; 2.1.2 Conservation of momentum; 2.1.3 Conservation of energy; 2.2 Mathematical Classification of Flow Equations.
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2.2.1 Solutions of ODE2.2.2 Solutions of PDE; 2.3 Navier-Stokes and Saint-Venant Equations; 2.3.1 Navier-Stokes equations; 2.3.2 Saint-Venant equations; 2.3.3 Characteristic form of Saint-Venant equations; Chapter 3: Discretization of the fluid flow domain; 3.1 Discrete Solutions of Equations; 3.2 Space Discretization; 3.2.1 Structured grids; 3.2.2 Unstructured grids; 3.2.3 Grid generation; 3.2.4 Physical aspects of space discretization; 3.3 Time Discretization; Chapter 4: Finite difference method; 4.1 General Concepts; 4.2 Approximation of the First Order Derrivative.
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4.3 Approximation of Higher Order Derrivatives4.4 Finite Differences for Ordinary Differential Equations; 4.4.1 Problem position; 4.4.2 Explicit schemes (Euler method); 4.4.3 Implicit schemes (Improved Euler method); 4.4.4 Mixed schemes; 4.4.5 Weighted averaged schemes; 4.4.6 Runge-Kutta methods; 4.5 Numerical Schemes for Partial Differential Equations; 4.5.1 Principle of FDM for PDEs; 4.5.2 Hyperbolic PDEs; 4.5.3 Parabolic PDEs; 4.5.4 Elliptic PDEs; 4.6 Examples; 4.6.1 ODE: Solution of the linear reservoir problem; 4.6.2 PDE: Simple wave propagation; 4.6.3 PDE: Diffusion equation.
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Chapter 5: Finite volume method5.1 General Concept; 5.2 FVM Application Details; 5.2.1 Step by step application of the FVM; 5.2.2 Surface and volume integrals; 5.2.3 Discretization of convective fluxes; 5.2.4 Discretization of diffusive fluxes; 5.2.5 Evaluation of the time derivative; 5.2.6 Boundary conditions; 5.2.7 Solving algebraic system of equations; 5.3 Example of Advection-Diffusion Equation in 1D; 5.3.1 Constant unknown function; 5.3.2 Linear variation approximation of the unknown function; 5.3.3 Parabolic variation approximation of the unknown function.
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5.3.4 Error of the approximationChapter 6: Properties of numerical methods; 6.1 Properties of Numerical Methods; 6.1.1 Convergence; 6.1.2 Consistency; 6.1.3 Stability; 6.1.4 Lax's theorem of equivalence; 6.2 Convergence of FDM Schemes; 6.2.1 Convergence for ODEs; 6.2.2 Convergence for PDEs; 6.2.3 Amplitude and phase errors; 6.3 Convergence of FVM Schemes; 6.3.1 Convective fluxes; 6.3.2 Diffusive fluxes; 6.4 Examples; 6.4.1 Stability region of a simple ODE; 6.4.2 Convergence of an ODE: Emptying of a groundwater reservoir.
Weitere Ausg.:
Print version: Popescu, Ioana. Computational hydraulics ISBN 9781780400440
Sprache:
Englisch
Schlagwort(e):
Electronic books.
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