A Lagrangian meshless finite element method applied to fluid-structure interaction problems

By Sergio R. Idelsohn, Eugenio Oñate, Facundo Del Pin. 2003

156 citations recorded by the source corpus.

Abstract A method is presented for the solution of the incompressible fluid flow equations using a Lagrangian formulation. The interpolation functions are those used in the meshless finite element method and the time integration is introduced in a semi-implicit way by a fractional step method. Classical stabilization terms used in the momentum equations are unnecessary due to the lack of convective terms in the Lagrangian formulation. Furthermore, the Lagrangian formulation simplifies the connections with fixed or moving solid structures, thus providing a very easy way to solve fluid–structure interaction problems.

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

View Paper: https://www.semanticscholar.org/paper/302847ca2a4a89f353bcf074814a0233810b075c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

The particle finite element method. An overview (2004, unknown): “Details of the mesh generation procedure and the derivation of the MFEM shape functions can be found in [Idelsohn et al. (2003a; 2003c; 2004)].”
Meshfree Methods: Progress Made after 20 Years (2017, unknown): “Similarly, the meshless finite-element method (Idelsohn et al. 2003f) and the particle finite-element method (PFEM) (Idelsohn et al. 2003b, 2004) reconstruct Delaunay tessellations (Idelsohn et al. 2003a) that give bounded O ð n Þ time for efficiency, and use non-Sibsonian interpolation (Belikov et…”
The particle finite element method: a powerful tool to solve incompressible flows with free‐surfaces and breaking waves (2004, methodology): “Accordingly to the way to evaluate the forces applied to each particle, the method may be divided into two categories: those in which the interacting forces between the particles are evaluated by a local contact problem [15] and those in which the forces are evaluated by solving a continuous differe”
Advances in the particle finite element method for the analysis of fluid-multibody interaction and bed erosion in free surface flows (2008, methodology): “In our work we use an innovative mesh generation scheme based on the extended Delaunay tesselation (Section 4) [9,10,12].”
On the numerical modeling of granular material flows via the Particle Finite Element Method (PFEM) (2015, background): “It is defined in a Lagrangian description, but the drawbacks latent due to the large defor24 mation of the mesh are avoided with robust techniques of discretization and remeshing [18].”