Rights accessRestricted access - publisher's policy
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.
CitationOñate, E. [et al.]. A general stabilized formulation for incompressible fluid flow using finite calculus and the finite element method. A: "Fluid dynamics and aeronautics new challenges : a book dedicated to Pierre Perrier". CIMNE, 2003, p. 1-38.
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. If you wish to make any use of the work not provided for in the law, please contact: email@example.com