05355nam 2200661Ia 450 991014367760332120221206180934.01-280-90083-097866109008310-470-31962-30-470-31963-1(CKB)1000000000357034(EBL)297465(OCoLC)181345508(SSID)ssj0000299178(PQKBManifestationID)11229235(PQKBTitleCode)TC0000299178(PQKBWorkID)10257281(PQKB)11256493(MiAaPQ)EBC297465(PPN)187154740(EXLCZ)99100000000035703420070621d2007 uy 0engur|n|---|||||txtccrHydrodynamics of free surface flows[electronic resource] modelling with the finite element method /Jean-Michel HervouetChichester ;Hoboken, N.J. Wileyc20071 online resource (377 p.)Description based upon print version of record.0-470-03558-7 Includes bibliographical references and index.Hydrodynamics of Free Surface Flows; Contents; List of figures; List of tables; List of plates; Acknowledgements; 1 Introduction; 1.1 Twenty years of development at EDF; 1.2 Some smoother pebbles...; 1.2.1 Saint-Venant equations; 1.2.2 Navier-Stokes equations; 1.2.3 Finite elements techniques and optimization; 2 Equations of free surface hydrodynamics; 2.1 Notations and concepts in geometry; 2.2 Free surface Navier-Stokes equations; 2.2.1 Non-hydrostatic Navier-Stokes equations; 2.2.2 Boundary conditions; 2.2.3 Hydrostatic pressure and the Boussinesq approximation2.2.4 Source terms and body forces2.2.5 Navier-Stokes equations with sigma transform; 2.2.6 Tracer equations in 3 dimensions; 2.3 Saint-Venant equations; 2.3.1 Presentation and brief review; 2.3.2 Hypotheses, approximations and calculation rules; 2.3.3 Depth-averaging Navier-Stokes equations; 2.3.4 Different forms of equations; 2.3.5 The characteristics curves; 2.3.6 Notions on hydraulic jumps; 2.3.7 Saint-Venant equations in Mercator projection; 2.3.8 Saint-Venant equations with porosity; 2.3.9 Boussinesq equations; 2.3.10 Serre equations2.3.11 Source terms and body forces in two dimensions2.3.12 Boundary conditions in 2D; 2.3.13 Tracer equation in two dimensions; 2.4 Modelling of turbulence and dispersion; 2.4.1 Reynolds stress; 2.4.2 Zero-equation models; 2.4.3 Turbulence stress on the walls; 2.4.4 Equations of the k-e model; 2.4.5 Other models; 3 Principles of the finite element method; 3.1 Introduction; 3.2 Interpolation in finite elements; 3.3 Variational principle; 4 Resolution of the Saint-Venant equations; 4.1 A glance at the existing methods; 4.1.1 Main properties of a (good) numerical scheme4.1.2 Finite difference schemes4.1.3 Finite volume schemes for hyperbolic equations; 4.1.4 Kinetic schemes; 4.1.5 Finite element schemes; 4.2 Overall view of the Telemac-2D algorithm; 4.3 Fractional steps method; 4.4 Advection stage using the method of characteristics; 4.5 Propagation, diffusion, source terms; 4.5.1 Time discretization; 4.5.2 Space discretization; 4.5.3 Variational formulation; 4.5.4 Natural boundary conditions; 4.5.5 Sources and sinks; 4.5.6 Matrix form of the system; 4.6 Radiation conditions; 4.7 Resolution of the Boussinesq equations4.8 Resolution of k-e model equations in 2D4.8.1 Advection step; 4.8.2 Production, diffusion, source terms; 4.9 Solving the tracer equation in 2D; 4.10 Laws of conservation in 2D; 4.10.1 Mass conservation of the fluid; 4.10.2 Conservation of the tracer; 4.10.3 Head and momentum conservation; 4.10.4 Conservation of energy; 4.11 The treatment of uncovered beds; 4.11.1 Option 1: correction of the free surface gradient; 4.11.2 Option 2: masking of exposed elements; 4.12 Pseudo wave equation; 4.13 Some validation test cases; 4.13.1 Test of a lake at rest4.13.2 Rapid flow over a weir with a hydraulic jump downstreamA definitive guide for accurate state-of-the-art modelling of free surface flows Understanding the dynamics of free surface flows is the starting point of many environmental studies, impact studies, and waterworks design. Typical applications, once the flows are known, are water quality, dam impact and safety, pollutant control, and sediment transport. These studies used to be done in the past with scale models, but these are now being replaced by numerical simulation performed by software suites called "hydro-informatic systems". The Telemac system is the leading software package worFinite element methodHydrodynamicsData processingHydrodynamicsMathematical modelsHydrodynamicsFinite element method.HydrodynamicsData processing.HydrodynamicsMathematical models.Hydrodynamics.532.50151Hervouet Jean-Michel932384MiAaPQMiAaPQMiAaPQBOOK9910143677603321Hydrodynamics of free surface flows2098107UNINA01034nam a2200277 i 450099100198073970753620020508184501.0000220s1974 it ||| | ita b10941551-39ule_instPARLA152340ExLDip.to Filosofiaita940.54Bendiscioli, Mario120236Antifascismo e Resistenza /Mario Bendiscioli2. ed. riveduta e ampliataRoma :Studium,[1974]286 p. ;17 cmNuova universale Studium ;3ResistenzaItalia.b1094155123-02-1728-06-02991001980739707536LE005IF XXXVII E 381LE005IFA-9581le005-E0.00-l- 00000.i1104833528-06-02LE009 STOR.65-17512009000395978le009-E0.00-l- 00000.i1104834728-06-02Antifascismo e Resistenza210741UNISALENTOle005le00901-01-00ma -itait 01