Numerical solution of fluid–structure interaction in piping systems by Glimm's method

摘要: Abstract This work presents a numerical procedure for obtaining approximated solutions one-dimensional fluid–structure interaction (FSI) models, which are used in transient analyses of liquid-filled piping systems. The FSI model considered herein is formed by system hyperbolic partial differential equations and describes, simultaneously, pressure waves propagating the liquid as well axial, shear bending traveling pipe walls. By taking advantage an operator splitting technique, flux term split away from source one, giving rise to sequence simpler problems set homogeneous ordinary time. constructed advancing time sequentially through these sets employing Glimm's method Gear's stiff method, respectively. To implement analytical associated Riemann presented. boundary conditions properly accounted formulating analytically solving suitable (non-classical) pipe's ends. proposed obtain approximations well-known eight-equation two closed systems, transients generated impact rod onto one obtained results compared with experimental data available literature very good agreement found.