Computational Methods for Transport Phenomena

Transfer by molecular motion, laminar or turbulent flow. Hyperbolic, parabolic, and elliptic equations. Variational methods for steady and transient transport phenomena (weak formulation, functionals, Ritz method, weighted residual methods). Finite difference method (discretization, steady and transient diffusion, steady and transient transport with diffusion and convection). Finite element method (physical or direct formulation, formulation by variational methods, steady and transient transport phenomena). Boundary element method. Errors, convergence, and stability of numerical methods. Presentation of programs for each method. Applications.