000 05369nam a22004453i 4500
001 EBC3121230
003 MiAaPQ
005 20240729124650.0
006 m o d |
007 cr cnu||||||||
008 240724s2014 xx o ||||0 eng d
020 _a9781780400457
_q(electronic bk.)
020 _z9781780400440
035 _a(MiAaPQ)EBC3121230
035 _a(Au-PeEL)EBL3121230
035 _a(CaPaEBR)ebr10994509
035 _a(OCoLC)897838585
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
082 0 _a627.01518
100 1 _aPopescu, Ioana.
245 1 0 _aComputational Hydraulics.
250 _a1st ed.
264 1 _aLondon :
_bIWA Publishing,
_c2014.
264 4 _c©2014.
300 _a1 online resource (184 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aCover -- 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 -- 2.2.1 Solutions of ODE -- 2.2.2 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 -- 4.3 Approximation of Higher Order Derrivatives -- 4.4 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.
505 8 _aChapter 5: Finite volume method -- 5.1 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 -- 5.3.4 Error of the approximation -- Chapter 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 -- 6.4.3 PDE: Convergence analysis for Preissmann scheme applied to advection equation -- 6.4.4 PDE: Convergence analysis for diffusion equation -- Chapter 7: River system modelling and flood propagation -- 7.1 Introduction -- 7.2 River Systems Modelling -- 7.2.1 Preissmann solution -- 7.2.2 Abbott-Ionescu solution -- 7.2.3 Initial and boundary conditions -- 7.2.4 River networks -- 7.3 Modelling Floods -- 7.4 River Routing Example -- Chapter 8: Water quality modelling -- 8.1 Introduction -- 8.2 Processes Described in Water Quality Models -- 8.3 River Water Quality Models -- 8.4 Lakes Water Quality Modelling -- 8.5 Examples of Lake Hydrodynamics and Water Quality Models -- 8.5.1 Sontea-Fortuna wetland system.
505 8 _a8.5.2 Lake Taihu water quality -- References -- Index.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aHydraulics -- Mathematics.
650 0 _aHydraulics -- Data processing.
655 4 _aElectronic books.
776 0 8 _iPrint version:
_aPopescu, Ioana
_tComputational Hydraulics
_dLondon : IWA Publishing,c2014
_z9781780400440
797 2 _aProQuest (Firm)
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3121230
_zClick to View
999 _c71540
_d71540