A numerical model. has been developed in order to simulate the flow behavior of a falling film over a wavy surface. The particularity of this model resides in the flow field which contains a mobile gas-liquid interface. This free interface induces a variable thickness in the film due to the vortex. After having written the equations, made a change of variables in space and discretised, we solve the non linear system of equations by a Newton type method. Our work is limited to steady flow. We study hydrodynamics, wall shear stress and thickness for various Reynolds numbers and various geometry. In this report we present the results for water.