Development of unsteady open channel flow equation, basic equation of unsteady flows. Numerical methods of solution of the unsteady flow equation: method of characteristics, finite difference schemes - Leap Frog scheme, Lax Wandroff 2nd order scheme, Maccormack scheme, explicit and implicit schemes, simplified equations of unsteady flows, weak solution. Transport of materials. Choice of models and case studies. Simulation of overland flows, surges in power canals, dam-break problem. Finite element method applications to surges and flood computation.