Computational Fluid Dynamics for Engineers and Scientists

Preface. Table of contents. 1. INTRODUCTION. 1.1 The case of flow in a duct of rectangular cross-section. 1.2 The case of flow in a duct of triangular cross-section. 1.3 CFD for the more generic case of fluid flow. Problems. 2. EQUATIONS GOVERNING FLUID MOTION. 2.1 Basic concepts of fluid flow. 2.2 Laws governing fluid motion. 2.3 Boundary conditions and well-posedness. 2.4 Chapter summary. Problems. 3. BASIC CONCEPTS OF CFD. 3.1 The finite difference method. 3.2 Analysis of discretized equations. 3.3 Application to the generic scalar transport equation. 3.4 Dissipation and dispersion errors. 3.5 Control of oscillations. 3.6 Chapter summary. Problems. 4. SOLUTION OF NAVIER STOKES EQUATIONS. 4.1 Extension of stability analysis to coupled nonlinear equations. 4.2 Solution of coupled equations for compressible flows. 4.3 Computation of supersonic flows. 4.4 Solution methods for incompressible flows. 4.5 Coupled and sequential or segregated solvers. 4.6 Chapter summary. Problems. 5. SOLUTION OF LINEARIZED ALGEBRAIC EQUATIONS. 5.1 Need for speed. 5.2 Direct methods. 5.3 Basic iterative methods. 5.4 Convergence analysis of classical iterative methods. 5.5 Advanced iterative methods. 5.6 Chapter summary. Problems. 6. DEALING WITH IRREGULAR FLOW DOMAINS AND COMPLEX PHYSICAL PHENOMENA. 6.1 Dealing with irregular geometries. 6.2 The body-fitted grid approach. 6.3 The unstructured grid approach. 6.4 Dealing with complex physics. 6.5 Chapter summary. Problems. 7. CFD AND FLOW OPTIMIZATION. 7.1 Formulation of the optimization problem. 7.2 Iterative search method for optimization problems. 7.3 Case studies of shape optimization. 7.4 Issues in shape optimization. 7.5 Chapter summary. Problems. References. Index.