The particle finite element method. An overview
TLDR
The particle finite element method (PFEM) as mentioned in this paper is a general formulation for the analysis of fluid-structure interaction problems using the Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains.Abstract:
We present a general formulation for the analysis of fluid-structure interaction problems using the particle finite element method (PFEM). The key feature of the PFEM is the use of a Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains. Nodes are thus viewed as particles which can freely move and even separate from the main analysis domain representing, for instance, the effect of water drops. A mesh connects the nodes defining the discretized domain where the governing equations, expressed in an integral form, are solved as in the standard FEM. The necessary stabilization for dealing with the incompressibility condition in the fluid is introduced via the finite calculus (FIC) method. A fractional step scheme for the transient coupled fluid-structure solution is described. Examples of application of the PFEM method to solve a number of fluid-structure interaction problems involving large motions of the free surface and splashing of waves are presented.read more
Citations
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An Object-oriented Environment for Developing Finite Element Codes for Multi-disciplinary Applications
TL;DR: The design and implementation of a framework for building multi-disciplinary finite element programs, which contains several tools for the easy implementation of finite element applications and also provides a common platform for the natural interaction of different applications is described.
Journal ArticleDOI
Ecological mitigation of hillslope instability: ten key issues facing researchers and practitioners
Alexia Stokes,G. B. Douglas,Thierry Fourcaud,Filippo Giadrossich,Clayton Gillies,Thomas Hubble,John H. Kim,Kenneth W. Loades,Zhun Mao,Ian R. McIvor,Slobodan B. Mickovski,Stephen J. Mitchell,Normaniza Osman,Chris Phillips,Jean Poesen,Dave Polster,Federico Preti,Pierre Raymond,Freddy Rey,Massimiliano Schwarz,Lawrence R. Walker +20 more
TL;DR: The use of vegetation to improve slope stability was discussed during the Third International Conference on Soil Bio- and Eco-Engineering (ICBE), Vancouver, Canada, July 2012 as discussed by the authors.
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Unified Lagrangian formulation for elastic solids and incompressible fluids: Application to fluid–structure interaction problems via the PFEM
TL;DR: In this paper, a general Lagrangian formulation for treating elastic solids and quasi/fully incompressible fluids in a unified form is presented, which allows to treat solid and fluid subdomains in an unified manner in fluid-structure interaction (FSI) situations.
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Advances in the particle finite element method for the analysis of fluid-multibody interaction and bed erosion in free surface flows
TL;DR: In this article, the particle finite element method (PFEM) is used for solving complex fluid-structure interaction problems with free surface waves, such as splashing of waves, large motions of floating and submerged bodies and bed erosion.
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Smoothed Finite Element Methods (S-FEM): An Overview and Recent Developments
Wei Zeng,Gui-Rong Liu +1 more
TL;DR: The smoothed finite element methods (S-FEM) as discussed by the authors are a family of methods formulated through carefully designed combinations of the standard FEM and some of the techniques from the mesh free methods.
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A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations
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BookDOI
Handbook of Grid Generation
TL;DR: Current Practice Block-Structured Grids Unstructuring Grids Cartesian Grids Overset Grids Hybrid Grids Adaptive and Moving Grids System Implementation Block Structured GrIDS Unstructured Grid System Implementation User Interfaces Grid Automation CAD Interfaces grid Visualization MDO Coupling Grid Generation Systems Algebraic Generation Elliptic Generation Hyperbolic Generation Delaunay Tetrahedral Generation Advancing-Front unstructured Generation Hexahedral Generation.