05783nam 2200745Ia 450 991014133850332120230725032747.03-527-63608-01-280-66276-X97866136396913-527-63607-23-527-63609-9(CKB)2670000000152909(EBL)822718(OCoLC)747546206(SSID)ssj0000611553(PQKBManifestationID)11394248(PQKBTitleCode)TC0000611553(PQKBWorkID)10666088(PQKB)10680807(MiAaPQ)EBC822718(Au-PeEL)EBL822718(CaPaEBR)ebr10538735(CaONFJC)MIL363969(EXLCZ)99267000000015290920110810d2011 uy 0engur|n|---|||||txtccrComputational thermo-fluid dynamics[electronic resource] in materials science and engineering /Petr A. Nikrityuk2nd ed.Weinheim, Germany Wiley-VCH Verlagc20111 online resource (371 p.)Description based upon print version of record.3-527-33101-8 Includes bibliographical references and index.Computational Thermo-Fluid Dynamics; Contents; Preface; Acknowledgments; 1 Introduction; 1.1 Heat and Fluid Flows in Materials Science and Engineering; 1.2 Overview of the Present Work; 2 Mathematical Description of Physical Phenomena in Thermofluid Dynamics; 2.1 Conservation Equations for Continuum Media; 2.1.1 Conservation of Mass; 2.1.2 Conservation of Momentum; 2.1.3 Energy Conservation Equation; 2.1.4 Conservation of Chemical Species; 2.1.5 Boussinesq Approximation; 2.1.6 Unified Form of Conservation Equations; 2.1.7 Nondimensional Form of Conservation Equations; 2.1.8 Short Summary2.2 Boundary and Initial Conditions2.2.1 Heat Transfer; 2.2.2 Solutal Transfer; 2.2.3 Fluid Dynamics; 2.3 Conservation Equations in Electromagnetics; 2.3.1 Maxwell Equations; 2.3.2 Induction and Poisson Equations; 2.3.3 An Example of a Low Magnetic Reynolds Number Approximation: Rotating Magnetic Field; 3 Discretization Approaches and Numerical Methods; 3.1 The Finite Difference Method; 3.1.1 Introduction; 3.1.2 Approximation Schemes; 3.1.3 Example of Conservative Property of FDM; 3.1.4 Discretization Schemes of Unsteady Equations; 3.1.5 Example of Unsteady Diffusion Equation3.2 The Finite Volume Method3.2.1 Basic Concept; 3.2.2 Interpolation Schemes; 3.2.3 Linearized Form of Discretized Conservation Equation; 3.2.4 Treatment of Source Terms; 3.2.5 Boundary Conditions; 3.2.6 Comparative Study of Schemes for One-Dimensional Convection/Diffusion Problem; 3.3 Solution of Linear Equation Systems; 3.3.1 Direct Methods; 3.3.2 Iterative Methods; 3.3.3 Residuals and Convergence; 3.3.4 Multigrid Method; 3.3.5 Illustration of Iterative Methods; 4 Calculations of Flows with Heat and Mass Transfer; 4.1 Solution of Incompressible Navier-Stokes Equations4.2 Pressure and Velocity Coupling: SIMPLE Family4.2.1 SIMPLE; 4.2.2 SIMPLER; 4.2.3 SIMPLE with Collocated Variables Arrangement; 4.3 Illustrations of Schemes for Flow with Heat Transfer; 4.4 Complex Geometry Problems on Fixed Cartesian Grids; 4.4.1 Immersed Boundary Methods; 4.4.2 Cartesian Grid Methods; 4.4.3 Immersed Surface Reconstruction; 4.4.4 Illustration of Continuous-Forcing IBM; 5 Convection-Diffusion Phase-Change Problems; 5.1 Some Aspects of Solidification Thermodynamics; 5.1.1 One-Component Melts; 5.1.2 Binary Alloys; 5.1.3 Interface and Equilibrium5.2 Modeling of Macroscale Phase-Change Phenomena5.2.1 Heat Transfer in Phase-Change Systems: Fixed and Moving Grids; 5.2.2 Mathematical Models of a Binary Alloy Solidification; 5.2.3 Closure Relations for the Volume Fraction of Liquid; 5.3 Turbulent Solidification; 5.3.1 Review of Unsteady RANS Modeling of a Solidification; 5.3.2 Conditions for the DNS of Convection-Driven Solidification; 5.4 Microscale Phase-Change Phenomena; 5.4.1 Basic Modeling Concepts; 5.4.2 Modified Cellular Automaton Model; 5.4.3 Virtual Interface Tracking Model; 5.5 Modeling of Crystal Growth5.5.1 Modeling ApproachesCombining previously unconnected computational methods, this monograph discusses the latest basic schemes and algorithms for the solution of fluid, heat and mass transfer problems coupled with electrodynamics. It presents the necessary mathematical background of computational thermo-fluid dynamics, the numerical implementation and the application to real-world problems. Particular emphasis is placed throughout on the use of electromagnetic fields to control the heat, mass and fluid flows in melts and on phase change phenomena during the solidification of pure materials and binary alloys. HowevMaterialsThermal propertiesMathematical modelsThermodynamicsMathematical modelsFluid dynamicsMathematical modelsHeatTransmissionMathematical modelsMass transferMathematical modelsMaterialsThermal propertiesMathematical models.ThermodynamicsMathematical models.Fluid dynamicsMathematical models.HeatTransmissionMathematical models.Mass transferMathematical models.333.79620.11Nikrityuk Petr A944155MiAaPQMiAaPQMiAaPQBOOK9910141338503321Computational thermo-fluid dynamics2131180UNINA