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Simulation of free surfaces in 3‐D with the arbitrary Lagrange–Euler method
Author(s) -
Szabo Peter,
Hassager Ole
Publication year - 1995
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.1620380502
Subject(s) - euler's formula , kinematics , surface tension , finite element method , mathematics , reynolds number , flow (mathematics) , mechanics , mathematical analysis , classical mechanics , geometry , physics , structural engineering , engineering , turbulence , quantum mechanics
The arbitrary Lagrange–Euler (ALE) kinematic description has been implemented in a 3‐D transient finite element program so as to simulate multiple fluid flows with surfaces and interfaces of general shapes. The description of fluid interfaces includes continuity of velocity and a discontinuous tangential and normal stress appropriate for fluids of variable interfacial tension. The formulation is particularly relevant to the description of low and intermediate Reynolds number flow dominated by interfacial tension.