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A general stabilized formulation for incompressible fluid flow using finite calculus and the finite element method

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Oñate Ibáñez de Navarra, EugenioMés informacióMés informacióMés informació
García Espinosa, JulioMés informacióMés informació
Bugeda Castelltort, GabrielMés informacióMés informacióMés informació
Idelsohn Barg, Sergio Rodolfo
Document typeResearch report
Defense date2003-03
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
We present a general formulation for incompressible fluid flow analysis using the finite element method (FEM). The necessary stabilization for dealing with convective effects and the incompressibility condition are introduced via the so called finite calculus (FIC) method. The extension of the standard eulerian form of the equations to an arbitrary lagrangian-eulerian (ALE) frame adequate for treating fluid-structure interaction problems is presented. The fully lagrangian form is also discussed. Details of an effective mesh updating procedure are presented together with a method for dealing with free surface effects of importance for ship hydrodynamic analysis and many other fluid flow problems. Examples of application of the eulerian, the ALE and the fully lagrangian flow descriptions are presented.
Description
CIMNE, Technical Report Nº PI-223, 38pp., Barcelona, Spain
CitationOñate, E. [et al.]. "A general stabilized formulation for incompressible fluid flow using finite calculus and the finite element method". 2003. 
Is part ofPI 223
URIhttp://hdl.handle.net/2117/171029
URL other repositoryhttps://www.scipedia.com/public/Onate_et_al_2004f
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  • Departament de Ciència i Enginyeria Nàutiques - Reports de recerca [72]
  • (MC)2 - Grup de Mecànica Computacional en Medis Continus - Reports de recerca [17]
  • Departament d'Enginyeria Civil i Ambiental - Reports de recerca [136]
  • GMNE - Grup de Mètodes Numèrics en Enginyeria - Reports de recerca [79]
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