Finite difference formulation, initial and boundary conditions, finite differencefor parabolic, elliptic and hyperbolic differential equation and applications, explicitmethod, implicit method, iteration methods, alternating direction implicit method(ADI), splitting methods, multi-steps method, upwind formulation, TVD formulation,grid generation techniques, applications, stability analysis, introduction to finitevolume formulation, introduction to commercial codes, turbulent models, Reynoldsaveraged equations, case studies.