LEADER 05701nam 22007693u 450 001 9910829870903321 005 20230803033516.0 010 $a1-118-55785-9 010 $a1-118-58770-7 010 $a1-299-46893-4 010 $a1-118-58774-X 035 $a(CKB)3360000000455821 035 $a(EBL)1120643 035 $a(OCoLC)836406013 035 $a(SSID)ssj0000993377 035 $a(PQKBManifestationID)11553500 035 $a(PQKBTitleCode)TC0000993377 035 $a(PQKBWorkID)10952180 035 $a(PQKB)11618674 035 $a(MiAaPQ)EBC1120643 035 $a(Au-PeEL)EBL1120643 035 $a(CaPaEBR)ebr11098845 035 $a(CaONFJC)MIL478143 035 $a(EXLCZ)993360000000455821 100 $a20131014d2013|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aEnvironmental Hydraulics$b[electronic resource] $eMathematical Models 205 $a1st ed. 210 $aHoboken $cWiley$d2013 215 $a1 online resource (572 p.) 225 1 $aISTE 300 $aDescription based upon print version of record. 311 $a1-84821-154-6 327 $aCover; Mathematical Models; Title Page; Copyright Page; Table of Contents; Introduction; Chapter 1. Reminders on the Mechanical Properties of Fluids; 1.1. Laws of conservation, principles and general theorems; 1.1.1. Mass conservation, continuity equation; 1.1.1.1. Mass conservation; 1.1.1.2. Continuity equation; 1.1.1.3. Incompressible fluid; 1.1.2. Theorem for the conservation of momentum; 1.1.2.1. Assessment for the momentum; 1.1.2.2. Momentum equation; 1.1.3. Theorem of kinetic energy; 1.1.3.1. Assessment of kinetic energy; 1.1.3.2. Generalized Bernoulli theorem 327 $a1.1.3.3. Kinetic energy equation1.1.4. The first principle of thermodynamics; 1.1.4.1. Assessment of total energy; 1.1.4.2. Total energy equation; 1.2. Enthalpy, rotation, mixing, saturation; 1.2.1. Assessment of internal energy; 1.2.2. Assessment of enthalpy; 1.2.3. Assessment for the total enthalpy; 1.2.4. Case of a coordinate frame of reference in rotation; 1.2.5. The case of humid, saturated air; 1.2.6. Boussinesq's approximation; 1.2.7. General report on global equations; 1.2.8. General assessment of local equations; 1.3. Thermodynamic relations, relations of state and laws of behavior 327 $a1.3.1. Constituent laws of the Newtonian fluid1.3.2. Navier-Stokes equations; 1.4. Turbulent flow; 1.4.1. Reynolds experience; 1.4.2. Reynolds equations; 1.4.3. Turbulent kinetic energy equation; 1.4.4. Properties of turbulent flows; 1.5. Dynamics of geophysical fluids; 1.5.1. Geostrophic movement; 1.5.2. Buys-Ballot's rule; 1.5.3. Ekman's layer; 1.5.3.1. Putting into an equation for the horizontal plane; 1.5.3.2. Ekman's atmospheric layer; Chapter 2. 3D Navier-Stokes Equations; 2.1. The continuity hypothesis; 2.2. Lagrangian description/Eulerian description; 2.3. The continuity equation 327 $a2.4. The movement quantity assessment equation2.4.1. Pressure force; 2.4.2. The force of the Earth's gravity; 2.4.3. The viscosity force; 2.5. The energy balance equation; 2.6. The equation of state; 2.7. Navier-Stokes equations for a fluid in rotation; Chapter 3. Models of the Atmosphere; 3.1. Introduction; 3.2. The various simplifications and corresponding models; 3.2.1. General form of the equations; 3.2.2. Water in the atmosphere; 3.2.3. Traditional approximation and non-hydrostatic equations; 3.2.4. Hydrostatic hypothesis and primitive equations 327 $a3.2.5. Primitive equations with the pressure vertical coordinate3.2.6. The equations of the "shallow water" model; 3.2.7. Equations of the "zero divergence" model; 3.2.8. System of equations used for weather forecasting; 3.3. The equations with various systems of coordinates; 3.3.1. Vector operators with curvilinear coordinates; 3.3.2. The equations with geographical coordinates; 3.3.3. The equations with a conformal projection; 3.4. Some typical conformal projections; 3.4.1. The polar stereographic projection; 3.4.2. The Mercator projection; 3.4.3. The Lambert projection 327 $a3.5. The operational models 330 $aThis series of five volumes proposes an integrated description of physical processes modeling used by scientific disciplines from meteorology to coastal morphodynamics. Volume 1 describes the physical processes and identifies the main measurement devices used to measure the main parameters that are indispensable to implement all these simulation tools. Volume 2 presents the different theories in an integrated approach: mathematical models as well as conceptual models, used by all disciplines to represent these processes. Volume 3 identifies the main numerical methods used in all these scientif 410 0$aISTE 606 $aEnvironmental hydraulics -- Mathematical models 606 $aEnvironmental hydraulics 606 $aHydrodynamics -- Mathematical models 606 $aMechanical Engineering$2HILCC 606 $aEngineering & Applied Sciences$2HILCC 606 $aHydraulic Engineering$2HILCC 615 4$aEnvironmental hydraulics -- Mathematical models. 615 4$aEnvironmental hydraulics. 615 4$aHydrodynamics -- Mathematical models. 615 7$aMechanical Engineering 615 7$aEngineering & Applied Sciences 615 7$aHydraulic Engineering 676 $a627 700 $aTanguy$b Jean-Michel$0873613 702 $aTanguy$b Jean Michel 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910829870903321 996 $aEnvironmental Hydraulics$92204530 997 $aUNINA