Abstract An interaction problem between a fluid and elastic walls is solved by a full Eulerian fluid-structure coupling method. The method employs a uniform grid system for both fluid and solid and it does not require any mesh generation or reconstruction, aming at facilitating the practical bio-mechanical fluid-structure analysis. The availability and applicability of the developed method to systems involving complex geometries driven by a pressure gradient are shown through a comparison between the obtained numerical results and theoretical prediction, and a grid convergence test. Further, pulsating flow simulation are performed to demonstrate the effect of the pulsating amplitude on the flow rate.