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

By Sergio R. Idelsohn, J. Marti, A. Limache, Eugenio Oñate. 2008

287 citations recorded by the source corpus.

Abstract 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.

Subfields: Computational Mechanics, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/40525d76b3563c1046df280c1486412bfd7d5b42

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In Computational Mechanics

1. Sergio R. Idelsohn
2. Eugenio Oñate
3. Riccardo Rossi
4. Gene J. W. Hou
5. Jin Wang
6. M. A. Celigueta
7. Anita T. Layton
8. Pavel B. Ryzhakov

In Control and Systems Engineering

1. Eugenio Oñate
2. Sergio R. Idelsohn
3. Anita T. Layton
4. Gene J. W. Hou
5. Jin Wang
6. Riccardo Rossi

In Mechanics of Materials

1. Eugenio Oñate
2. Sergio R. Idelsohn
3. Riccardo Rossi
4. M. A. Celigueta
5. F. Salazar
6. B. Suárez
7. Anita T. Layton
8. Gene J. W. Hou

Citations in the corpus

• Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “Some important works we have omitted in this review include the particle finite element method (Idelsohn et al. 2006, 2008), the ghost-cell method (Tseng and Ferziger 2003, Iaccarino and Verzicco 2003), the cut-cell method (Udaykumar et al. 1996, 1999, 2001; Ye et al. 1999), the blob projection…”
• A monolithic Lagrangian approach for fluid–structure interaction problems (2010, methodology): “behavior was set to κ = 105 Pa for unified formulation [21] and κ = 107 Pa in case of the formulation proposed here.”
• Possibilities of the particle finite element method for fluid–soil–structure interaction problems (2011, methodology): “The rest of the integral equations are obtained by applying the standard weighted residual technique to the governing equations (1), (2), (3) and (5) and the corresponding boundary conditions [11,22,48].”