Unified Lagrangian formulation for elastic solids and incompressible fluids: Application to fluid–structure interaction problems via the PFEM

• Published in: Computer methods in applied mechanics and engineering Vol. 197; no. 19; pp. 1762 - 1776
• Main Authors: Idelsohn, S.R., Marti, J., Limache, A., Oñate, E.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Amsterdam Elsevier B.V 15.03.2008; Elsevier
• Subjects: Exact sciences and technology; Fluid dynamics; Fluid–structure; Fundamental areas of phenomenology (including applications); General theory; Lagrangian formulation; Mechanical contact (friction...); Particle finite element method; Physics; Solid dynamics (ballistics, collision, multibody system, stabilization...); Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Lagrangian formulation; Fluid–structure; Particle finite element method; Immersed body; Lagrangian; Vibration; Solid dynamic; Mechanical contact; Large displacement; Fluid structure interaction; Incompressible material; Modeling; Finite element method; Granular material; Free surface flow; Fluid-structure; Splashing; Incompressible fluid; Domain decomposition; Floating body; Sliding friction
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/j.cma.2007.06.004

We present a general Lagrangian formulation for treating elastic solids and quasi/fully incompressible fluids in a unified form. The formulation allows to treat solid and fluid subdomains in a unified manner in fluid–structure interaction (FSI) situations. In our work the FSI problem is solved via the particle finite element method (PFEM). The PFEM is an effective technique for modeling complex interactions between floating and submerged bodies and free surface flows, accounting for splashing of waves, large motions of the bodies and frictional contact conditions. Applications of the unified Lagrangian formulation to a number of FSI problems are given.