Dam Break model with Eulerian equations using mapping technique

This paper deals with numerical modeling of water flow which is generated by the break of a dam. the problem is solved by applying eulerian equations with mapping technique over a horizontal bottom considering unsteady، incompressible flow with free surface. the proposed model has been used to simulate a two-dimensional problem of the collapse of a water column inside a rectangular tank. a new mapping was developed to transform the governing equations from the physical domain to a computational domain. it is shown that the model predictions of the changes of wave profile and the free surface elevation of water. also، the results compare with experimental data.