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Fluid-Structure Interaction in Hydraulic Networks


 In this study, we consider the fluid-structure interaction in hydraulic networks, with a simplified representation of the structure thanks to the Timoshenko beam theory. This allows us to write the coupled equations which represent both the fluid flow and the structure deformations effects. These equations are solved by the method of characteristics. This last method involves different kinds of characteristics.
 In this paper we consider only the longitudinal mode of propagation, which the pipe undergoes in traction and compression. In this case two families of compatibility equations with different characteristic paths must be solved together. For the computation a numerical scheme with a reach-back time interpolation will be used.