Open AccessA natural element updated Lagrangian approach for modelling fluid structure interactions
Author(s) -
Andrés Galavís,
David González,
Elías Cueto,
Francisco Chinesta,
M. Doblaré
Publication year - 2007
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/remn.16.323-336
Subject(s) - lagrangian , finite element method , galerkin method , fluid–structure interaction , surface (topology) , element (criminal law) , mathematics , free surface , computer science , geometry , mechanics , engineering , physics , structural engineering , political science , law
In this paper we present a novel methodology for the numerical simulation of fluid structure interactions in the presence of free surfaces. It is based on the use of the Natural Element Method (NEM) in an updated Lagrangian framework, together with the integration of the Navier-Stokes equations by employing a Galerkin-characteristics formulation. Tracking of the free-surface is made by employing shape constructors, in particular α- shapes. A theoretical description of the method is made and also some examples of the performance of the technique are included.