Numerical computation of internal and external flows . Volume 1 Fundamentals of computational fluid dynamics / / Charles Hirsch

• Record Nr.: UNINA9911004704703321
• Autore: Hirsch Ch.
• Pubbl/distr/stampa: Oxford ; ; Burlington, MA : , : Elsevier/Butterworth-Heinemann, , 2007; ©2007
• ISBN: 1-281-01928-3; 9786611019280; 0-08-055002-9; 0-7506-6594-7
• Edizione: [Second edition.]
• Descrizione fisica: 1 online resource (656 pages)
• Disciplina: 532.051015118
• Soggetti: Fluid dynamics - Data processing; Computational fluid dynamics; Fluid dynamics - Mathematical models
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Revision of the first vol. of the original two-volume ed.; Title from title screen.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Front Cover -- Numerical Computation of Internal and External Flows, Second Edition -- Copyright Page -- Contents -- Preface to the Second Edition -- Nomenclature -- Introduction: An Initial Guide to CFD and to this Volume -- I.1 The position of CFD in the world of virtual prototyping -- I.1.1 The Definition Phase -- I.1.2 The Simulation and Analysis Phase -- I.1.3 The Manufacturing Cycle Phase -- I.2 The components of a CFD simulation system -- I.2.1 Step 1: Defining the Mathematical Model -- I.2.2 Step 2: Defining the Discretization Process -- I.2.3 Step 3: Performing the Analysis Phase -- I.2.4 Step 4: Defining the Resolution Phase -- I.3 The structure of this volume -- References -- Part I: The Mathematical Models for Fluid Flow Simulations at Various Levels of Approximation -- Chapter 1 The Basic Equations of Fluid Dynamics -- Objectives and guidelines -- 1.1 General form of a conservation law -- 1.2 The mass conservation equation -- 1.3 The momentum conservation law or equation of motion -- 1.4 The energy conservation equation -- A1.5 Rotating frame of reference -- A1.6 ; Advanced applications of control volume formulations -- Summary of the basic flow equations -- Conclusions and main topics to remember -- References -- Problems -- Chapter 2 The Dynamical Levels of Approximation -- Objectives and guidelines -- 2.1 The Navier-Stokes equations -- 2.2 Approximations of turbulent flows -- 2.3 Thin shear layer approximation (TSL) -- 2.4 Parabolized Navier-Stokes equations -- 2.5 Boundary layer approximation -- 2.6 The distributed loss model -- 2.7 Inviscid flow model: Euler equations -- 2.8 Potential flow model -- 2.9 Summary -- References -- Problems -- Chapter 3 The Mathematical Nature of the Flow Equations and Their Boundary Conditions -- Objectives and guidelines -- 3.1 Simplified models of a convection-diffusion equation.; 3.2 Definition of the mathematical properties of a system of PDEs -- 3.3 Hyperbolic and parabolic equations: characteristic surfaces and domain of dependence -- 3.4 Time-dependent and conservation form of the PDEs -- 3.5 Initial and boundary conditions -- A.3.6 Alternative definition: compatibility relations -- Conclusions and main topics to remember -- References -- Problems -- Part II: Basic Discretization Techniques -- Chapter 4 The Finite Difference Method for Structured Grids -- Objectives and guidelines -- 4.1 The basics of finite difference methods -- 4.2 Multidimensional finite difference formulas -- 4.3 Finite difference formulas on non-uniform grids -- A4.4 General method for finite difference formulas -- A4.5 Implicit finite difference formulas -- Conclusions and main topics to remember -- References -- Problems -- Chapter 5 Finite Volume Method and Conservative Discretization with an Introduction to Finite Element Method -- Objectives and guidelines -- 5.1 The conservative discretization -- 5.2 The basis of the finite volume method -- 5.3 Practical implementation of finite volume method -- A5.4 The finite element method -- Conclusions and main topics to remember -- References -- Problems -- Chapter 6 Structured and Unstructured Grid Properties -- Objectives and guidelines -- 6.1 Structured Grids -- 6.2 Unstructured grids -- 6.3 Surface and volume estimations -- 6.4 Grid quality and best practice guidelines -- Conclusions and main topics to remember -- References -- Part III: The Analysis of Numerical Schemes -- Chapter 7 Consistency, Stability and Error Analysis of Numerical Schemes -- Objectives and guidelines -- 7.1 Basic concepts and definitions -- 7.2 The Von Neumann method for stability analysis -- 7.3 New schemes for the linear convection equation -- 7.4 The spectral analysis of numerical errors.; Conclusions and main topics to remember -- References -- Problems -- Chapter 8 General Properties and High-Resolution Numerical Schemes -- Objectives and guidelines -- 8.1 General formulation of numerical schemes -- 8.2 The generation of new schemes with prescribed order of accuracy -- 8.3 Monotonicity of numerical schemes -- 8.4 Finite volume formulation of schemes and limiters -- Conclusions and main topics to remember -- References -- Problems -- Part IV: The Resolution of Numerical Schemes -- Chapter 9 Time Integration Methods for Space-discretized Equations -- Objectives and guidelines -- 9.1 Analysis of the space-discretized systems -- 9.2 Analysis of time integration schemes -- 9.3 A selection of time integration methods -- A9.4 Implicit schemes for multidimensional problems: approximate factorization methods -- Conclusions and main topics to remember -- References -- Problems -- Chapter 10 Iterative Methods for the Resolution of Algebraic Systems -- Objectives and guidelines -- 10.1 Basic iterative methods -- 10.2 Overrelaxation methods -- 10.3 Preconditioning techniques -- 10.4 Nonlinear problems -- 10.5 The multigrid method -- Conclusions and main ; topics to remember -- References -- Problems -- Appendix A: Thomas Algorithm for Tridiagonal Systems -- Part V: Applications to Inviscid and Viscous Flows -- Chapter 11 Numerical Simulation of Inviscid Flows -- Objectives and guidelines -- 11.1 The inviscid Euler equations -- 11.2 The potential flow model -- 11.3 Numerical solutions for the potential equation -- 11.4 Finite volume discretization of the Euler equations -- 11.5 Numerical solutions for the Euler equations -- Conclusions and main topics to remember -- References -- Chapter 12 Numerical Solutions of Viscous Laminar Flows -- Objectives and guidelines -- 12.1 Navier-Stokes equations for laminar flows.; 12.2 Density-based methods for viscous flows -- 12.3 Numerical solutions with the density-based method -- 12.4 Pressure correction method -- 12.5 Numerical solutions with the pressure correction method -- 12.6 Best practice advice -- Conclusions and main topics to remember -- References -- Index -- Colour Plates.
• Sommario/riassunto: This text is considered a classic in the field of computational fluid dynamics.