Computational fluid dynamics: principles and applications

Computational Fluid Dynamics: Principles and Applications, Third Edition presents students, engineers, and scientists with all they need to gain a solid understanding of the numerical methods and principles underlying modern computation techniques in fluid dynamics. By providing complete coverage of the essential knowledge required in order to write codes or understand commercial codes, the book gives the reader an overview of fundamentals and solution strategies in the early chapters before moving on to cover the details of different solution techniques. This updated edition includes new worked programming examples, expanded coverage and recent literature regarding incompressible flows, the Discontinuous Galerkin Method, the Lattice Boltzmann Method, higher-order spatial schemes, implicit Runge-Kutta methods and parallelization. An accompanying companion website contains the sources of 1-D and 2-D Euler and Navier-Stokes flow solvers (structured and unstructured) and grid generators, along with tools for Von Neumann stability analysis of 1-D model equations and examples of various parallelization techniques. Will provide you with the knowledge required to develop and understand modern flow simulation codes Features new worked programming examples and expanded coverage of incompressible flows, implicit Runge-Kutta methods and code parallelization, among other topics Includes accompanying companion website that contains the sources of 1-D and 2-D flow solvers as well as grid generators and examples of parallelization techniques.

Front Cover -- Computational Fluid Dynamics: Principles and Applications -- Copyright -- Contents -- Acknowledgments -- List of Symbols -- Abbreviations -- Chapter 1: Introduction -- Chapter 2: Governing Equations -- 2.1 The Flow and Its Mathematical Description -- 2.1.1 Finite control volume -- 2.2 Conservation Laws -- 2.2.1 The continuity equation -- 2.2.2 The momentum equation -- 2.2.3 The energy equation -- 2.3 Viscous Stresses -- 2.4 Complete System of the Navier-Stokes Equations -- 2.4.1 Formulation for a perfect gas -- 2.4.2 Formulation for a real gas -- 2.4.3 Simplifications to the Navier-Stokes equations -- Thin shear layer approximation -- Parabolized Navier-Stokes equations -- Euler equations -- References -- Chapter 3: Principles of Solution of the Governing Equations -- 3.1 Spatial Discretization -- 3.1.1 Finite-difference method -- 3.1.2 Finite-volume method -- 3.1.3 Finite-element method -- 3.1.4 Other discretization methods -- Spectral-element method -- Lattice Boltzmann method -- Gridless method -- 3.1.5 Central and upwind schemes -- Central schemes -- Upwind schemes -- Flux-vector splitting schemes -- Flux-difference splitting schemes -- TVD Schemes -- Fluctuatio…