The nature and human causes have contributed roughly 0.8 degree C increase in earth's atmospheric temperture over the last 120 years.Sea level rises and increased intensity and frequency of storms are the challenges to hydraulic engineers that have to confront these reality of the global warming.The design and construction of hydraulic structure must prepared for the impact of land slides and floods and the potential for ocean water to be washed ashore by storm surges.Accurate modelling and simulations of floods and surges waves are needed and new numerical methods for the simulations have been developed.This paper reviews the recent advances in the numerical simulation techniques employed in the hydraulic designs.High-order interpolation has been developed to capture the rapid depth-and-velocity changes across the surges and shock waves.Lagrangian advection of blocks are strategies to simulate flood wave advances over dry land.A number of hydraulic modelling simulations are given as examples.These including the simulation of the warm-and-cold fronts in lakes and oceans and the atmosphere and the run-up and overtopping of waves over dikes and levees.