Unified Solution Algorithm for Solids and Fluids

Abstract

In this work, we propose a new unified-solution algorithm for solids and fluids using generalized simplified marker and cell (GSMAC)-finite element method (FEM). We use the Lagrangian description for displacement vector fields in solids, and, the Eulerian description for velocity vector fields in fluids. We carried out the analysis for static beam bending problems and dynamic viscoelastic response problems in order to the verify the validity of the present scheme for the solid phase. Additionally the analysis of self-excited oscillations of a cylinder in uniform flow is performed as a coupled vibration problem between the fluid and solid.