Arbitrary Lagrangian-Eulerian and free surface methods in fluid mechanics

Authors
Souli, M Zolesio, JP
Citation
M. Souli et Jp. Zolesio, Arbitrary Lagrangian-Eulerian and free surface methods in fluid mechanics, COMPUT METH, 191(3-5), 2001, pp. 451-466
Citations number
21
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
191
Issue
3-5
Year of publication
2001
Pages
451 - 466
Database
ISI
SICI code
0045-7825(2001)191:3-5<451:ALAFSM>2.0.ZU;2-F
Abstract
A computational procedure is developed to solve problems of viscous incompr essible flows under large:free surface motions. The arbitrary Lagrangian-Eu lerian (ALE) method is used to move the free surface nodes as well as the i nternal nodes. The coupling of the mesh motion equations and the fluid equa tions is essentially done through the free surface boundary conditions. An elastic model with free surface boundary conditions is used to model the me sh motion. The boundary condition at the free surface is deduced from the f act that no fluid particle can cross the free surface. The fluid problem is solved using a Galerkin/least-square (GLS) finite element formulation. (C) 2001 Elsevier Science B.V. All rights reserved.