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Full Description
Computational Fluid Dynamics: Numerical Methods and Applications offers a comprehensive exploration of computational fluid dynamics (CFD) methods, focusing on numerical techniques for solving fluid flow problems through both finite difference and finite-volume methods. It explores numerical schemes, advection-diffusion equations, shock-capturing methods, and turbulence modeling.
Emphasizing stability and accuracy preservation as part of modern CFD practice, the book addresses both laminar and turbulent regimes. It spans the full spectrum of CFD from the fundamentals of discretized conservation laws to modern turbulence and LES modeling. The book also discusses advanced techniques such as high-order discretization, time integration, pressure-velocity coupling, and high-fidelity simulation.
Senior undergraduate aerospace and mechanical engineering students taking a CFD course will find this book particularly valuable.
Instructors will be able to utilize a Solutions Manual, Figure Slides, and Python codes for their course.
Contents
1. Introduction to Computational Fluid Dynamics. 2. Classification of Fluid Flow Problems and Boundary Conditions. 3. Finite Difference Method. 4. Time-Stepping Techniques. 5. Preserving Oscillatory Accuracy in Numerical Time-Stepping. 6. Boundary Value Problems. 7. Advection Equation. 8. Diffusion Problem. 9. Stabilizing Explicit Schemes with Hyperviscosity and Filtering. 10. 2D Unsteady Parabolic Problems. 11. Linear Advection-Diffusion Equation. 12. The Viscous Burgers Equation. 13. Elliptic Partial Differential Equations and Grid Arrangement Strategies. 14. Iterative Methods for Elliptic PDEs: Laplace and Poisson Solvers. 15. Pressure-Velocity Coupling in Incompressible Flows: Finite Difference Method. 16. Classical Finite Difference Methods for Hyperbolic PDEs and Discontinuities. 17. Finite Volume Method I: Introduction. 18. Finite Volume Method II: Pressure-Velocity Coupling in Incompressible Flows. 19. Finite Volume Methods III:
Flow and Discontinuities. 20. Turbulence Models. 21. Direct and Large Eddy Simulations. Appendix I. Grid Sensitivity Analysis and Grid Convergence Index (GCI). Appendix II. Grid Independence Analysis in LES Investigation.
