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

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...

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Bibliographic Details
Authors: Becker, Pablo Agustín|||0000-0002-3737-3842, Idelsohn Barg, Sergio Rodolfo, Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Format: article
Publication Date:2015
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/76190
Online Access:https://hdl.handle.net/2117/76190
https://dx.doi.org/10.1007/s00466-014-1107-0
Access Level:Open access
Keyword:Fluid-structure interaction--Mathematical models
Multi-fluids
FSI
Fixed mesh
Lagrangian particles
Unified approach
LAGRANGIAN-FORMULATION
INCOMPRESSIBLE FLUIDS
CONVECTION
Interacció fluid-estructura -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Description
Summary: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.