Fluid-structure interaction using the particle finite element method

By Sergio R. Idelsohn, Eugenio Oñate, Facundo Del Pin, Néstor Calvo. 2006

194 citations recorded by the source corpus.

Abstract In the present work a new approach to solve fluid–structure interaction problems is described. Both, the equations of motion for fluids and for solids have been approximated using a material (Lagrangian) formulation. To approximate the partial differential equations representing the fluid motion, the shape functions introduced by the meshless finite element method (MFEM) have been used. Thus, the continuum is discretized into particles that move under body forces (gravity) and surface forces (due to the interaction with neighboring particles). All the physical properties such as density, viscosity, conductivity, etc., as well as the variables that define the temporal state such as velocity and position and also other variables like temperature are assigned to the particles and are transported with the particle motion. The so called particle finite element method (PFEM) provides a very advantageous and efficient way for solving contact and free-surface problems, highly simplifying the treatment of fluid–structure interactions.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/389a269c8d86335f8b9833fd3c914b0c03ea0792

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Interaction between an elastic structure and free-surface flows: experimental versus numerical comparisons using the PFEM (2008, background): “The PFEM is the natural evolution of recent work of the authors for the solution of FSI problems using Lagrangian finite element and meshless methods [5,13].”
QALE‐FEM for numerical modelling of non‐linear interaction between 3D moored floating bodies and steep waves (2009, background): “, Beck and Read [1], Yang, Lohner & Lu [6], Idelsohn, Oñate, Del Pin & Calvo [7] and others therein.”
Isogeometric fluid-structure interaction: theory, algorithms, and computations (2008, background): “, [35] and references therein), which makes use of a Lagrangian description of fluid mechanics, enabling straight-forward solution of very complicated flows and fluid-structure interac tion problems.”
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…”