Computational Fluid Dynamics

Numerical Methods and Applications

Naseem Uddin

• Publisher: CRC Press
• Year: 2026
• eBook ISBN: 9781040625750
• Topic: Ciencias físicas
• Subtopic: Física matemática y computacional

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 mod-ern 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.

Table of contents

• Cover Page
• Half-Title Page
• Title Page
• Copyright Page
• Dedication Page
• Contents
• Nomenclature
• Author
• Prologue
• Chapter 1 Introduction to Computational Fluid Dynamics
• Chapter 2 Classification of Fluid Flow Problems and Boundary Conditions
• Chapter 3 Finite Difference Method
• Chapter 4 Time-Stepping Techniques
• Chapter 5 Preserving Oscillatory Accuracy in Numerical Time-Stepping
• Chapter 6 Boundary Value Problems
• Chapter 7 Advection Equation
• Chapter 8 Diffusion Problem
• Chapter 9 Stabilizing Explicit Schemes with Hyperviscosity and Filtering
• Chapter 10 2D Unsteady Parabolic Problems
• Chapter 11 Linear Advection-Diffusion Equation
• Chapter 12 The Viscous Burgers' Equation
• Chapter 13 Elliptic Partial Differential Equations and Grid Arrangement Strategies
• Chapter 14 Iterative Methods for Elliptic PDEs: Laplace and Poisson Solvers
• Chapter 15 Pressure-Velocity Coupling in Incompressible Flows: Finite Difference Method
• Chapter 16 Classical Finite Difference Methods for Hyperbolic PDEs and Discontinuities
• Chapter 17 Finite Volume Method I: Introduction
• Chapter 18 Finite Volume Method II: Pressure-Velocity Coupling in Incompressible Flows
• Chapter 19 Finite Volume Methods III: Flow and Discontinuities
• Chapter 20 Turbulence Models
• Chapter 21 Direct and Large Eddy Simulations
• Appendix I: Grid Sensitivity Analysis and Grid Convergence Index (GCI)
• Appendix II: Grid Independence Analysis in LES Investigation
• Index