An exact truncation boundary condition for incompressible–unbounded infinite fluid domains

Abstract

In this paper, dam–reservoir interaction for a vibrating structure in an unbounded and incompressible and inviscid fluid is analyzed by using finite element approach. An exact boundary condition is developed for truncating surface of unbounded fluid domain. In the derivation of boundary condition, it is assumed that vibration of dam is in the normal direction of dam–reservoir interface and this interface is vertical. Moreover, bottom of fluid is rigid and horizontal. The derived boundary condition is implemented in the finite element code and results are compared with by using Sommerfeld's and Sharan's boundary conditions. It is seen that the proposed boundary condition is efficient and gives better results than the previous published results.