Application of finite difference methods, finite element methods, and the method of characteristics for the numerical solution of fluid dynamics problems. Incompressible viscous flows: vorticity transport equation, stream function equation, and boundary conditions. Compressible flows: treatment of shocks, implicit and explicit artificial viscosity techniques, and boundary conditions. Computational grids. Class Notes: Prerequisites:P: ME 58100 or equivalent; ME 50900 or 51000 or equivalent; or consent of instructor.