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.