Flow chart for numerical coupling of dynamic problems in elastic media

Abstract

SUMMARYFrom the starting point of dynamic coupling problems in the harmonic field, such as fluid/fluid, fluid/structure, fluid/structure/fluid problems, a single procedure capable of resolving the couplage is shown when only one domain is under study. The notions of impedance transfer familiar in analytical methods in the dynamic harmonic field are introduced into numerical methods especially when transferring the structure to the fluid. The proposed work goes beyond the problems themselves and the methods currently applied to solve them (modal series, integral method, finite element method) and suggests how the ideas developed here could simplify greatly the way more complex problems might be tackled.