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Arbitrary Lagrangian–Eulerian and free surface methods in fluid mechanics

✍ Scribed by M. Souli; J.P. Zolesio

Book ID
104266904
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
188 KB
Volume
191
Category
Article
ISSN
0045-7825

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✦ Synopsis

A computational procedure is developed to solve problems of viscous incompressible ¯ows under large free surface motions. The arbitrary Lagrangian±Eulerian (ALE) method is used to move the free surface nodes as well as the internal nodes. The coupling of the mesh motion equations and the ¯uid equations is essentially done through the free surface boundary conditions. An elastic model with free surface boundary conditions is used to model the mesh motion. The boundary condition at the free surface is deduced from the fact that no ¯uid particle can cross the free surface. The ¯uid problem is solved using a Galerkin/least-square (GLS) ®nite element formulation.

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