A unified monolithic approach for multi-fluid flows and fluid–structure interaction using the Particle Finite Element Method with fixed mesh

• Published in: Computational mechanics Vol. 55; no. 6; pp. 1091 - 1104
• Main Authors: Becker, P., Idelsohn, S. R., Oñate, E.
• Format: Journal Article Publication
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2015; Springer
• Subjects: Analysis; Anàlisi numèrica; Classical and Continuum Physics; Computational Science and Engineering; CONVECTION; Engineering; Enginyeria civil; Finite element method; Fixed mesh; Fluid-structure interaction; FSI; INCOMPRESSIBLE FLUIDS; Interacció fluid-estructura; Lagrangian particles; LAGRANGIAN-FORMULATION; Matemàtiques i estadística; Materials i estructures; Mathematical models; Methods; Models matemàtics; Multi-fluids; Mètodes en elements finits; Original Paper; Theoretical and Applied Mechanics; Unified approach; Àrees temàtiques de la UPC; Multi-fluids; Fixed mesh; Unified approach; Lagrangian particles; FSI
• ISSN: 0178-7675; 1432-0924
• DOI: 10.1007/s00466-014-1107-0

This paper describes a strategy to solve multi-fluid and fluid–structure interaction (FSI) problems using Lagrangian particles combined with a fixed finite element (FE) mesh. Our approach is an extension of the fluid-only PFEM-2 (Idelsohn et al., Eng Comput 30(2):2–2, 2013 ; Idelsohn et al., J Numer Methods Fluids, 2014 ) which uses explicit integration over the streamlines to improve accuracy. As a result, the convective term does not appear in the set of equations solved on the fixed mesh. Enrichments in the pressure field are used to improve the description of the interface between phases.