Essential Computational Fluid Dynamics

摘要: PREFACE. 1 What Is CFD? 1.1. Introduction. 1.2. Brief History of CFD. 1.3. Outline the Book. References and Suggested Reading. I Fundamentals. 2 Governing Equations Fluid Dynamics Heat Transfer. 2.1. Preliminary Concepts. 2.2. Mass Conservation. 2.3. Conservation Chemical Species. 2.4. Momentum. 2.5. Energy. 2.6. Equation State. 2.7. in Integral Form. 2.8. 2.9. Vector 2.10. Boundary Conditions. Problems. 3 Partial Differential Equations. 3.1. Model Formulation a PDE Problem. 3.2. Mathematical Classification Second Order. 3.3. Numerical Discretization: Different Kinds 4 Basics Finite Difference Approximation. 4.1. Computational Grid. 4.2. Differences Interpolation. 4.3. Approximation 4.4. Development Schemes. 5 Volume Method. 5.1. Introduction Formulation. 5.2. Integrals. 5.3. Methods 5.4. 6 Stability Transient Solutions. 6.1. Definition Stability. 6.2. Analysis. 6.3. Implicit versus Explicit Schemes-Stability Efficiency Considerations. 7 Application to 7.1. Linear Convection Equation. 7.2. One-Dimensional 7.3. Burgers Generic Transport 7.4. Method Lines Approach. 7.5. Schemes: Solution Tridiagonal Systems by Thomas Algorithm. II Methods. 8 Steady-State 8.1. Problems Reducible Matrix 8.2. Direct 8.3. Iterative 8.4. Nonlinear 9 Unsteady Flows 9.1. 9.2. Compressible Flows. 9.3. Conduction 10 Incompressible 10.1. General 10.2. Discretization 10.3. Projection for 10.4. 10.5. Other III Art 11 Turbulence. 11.1. 11.2. Simulation (DNS). 11.3. Reynolds-Averaged Navier-Stokes (RANS) Models. 11.4. Large-Eddy (LES). 12 Grids. 12.1. Introduction: Need Irregular Unstructured 12.2. Structured 12.3. 13 Conducting CFD 13.1. Overview: Setting Solving 13.2. Errors Uncertainty. 13.3. Adaptive INDEX.