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ODDLS: A new unstructured mesh finite element method for the analysis of free surface flow problems
Author(s) -
GarciaEspinosa Julio,
Valls Aleix,
Oñate Eugenio
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2348
Subject(s) - domain decomposition methods , finite element method , mathematics , free surface , level set method , flow (mathematics) , scalar (mathematics) , mathematical analysis , computer science , geometry , physics , segmentation , artificial intelligence , image segmentation , thermodynamics , quantum mechanics
This paper introduces a new stabilized finite element method based on the finite calculus ( Comput. Methods Appl. Mech. Eng. 1998; 151 :233–267) and arbitrary Lagrangian–Eulerian techniques ( Comput. Methods Appl. Mech. Eng. 1998; 155 :235–249) for the solution to free surface problems. The main innovation of this method is the application of an overlapping domain decomposition concept in the statement of the problem. The aim is to increase the accuracy in the capture of the free surface as well as in the resolution of the governing equations in the interface between the two fluids. Free surface capturing is based on the solution to a level set equation. The Navier–Stokes equations are solved using an iterative monolithic predictor–corrector algorithm ( Encyclopedia of Computational Mechanics . Wiley: New York, 2004), where the correction step is based on imposing the divergence‐free condition in the velocity field by means of the solution to a scalar equation for the pressure. Examples of application of the ODDLS formulation (for overlapping domain decomposition level set) to the analysis of different free surface flow problems are presented. Copyright © 2008 John Wiley & Sons, Ltd.