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A finite element method with a hybrid lagrange line for fluid mechanics problems involving large free surface motion
Author(s) -
Wellford L. Carter,
Ganaba Taher H.
Publication year - 1981
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.1620170807
Subject(s) - free surface , finite element method , slosh dynamics , surface (topology) , flow (mathematics) , material point method , classical mechanics , coupling (piping) , mathematical analysis , equations of motion , fluid dynamics , mechanics , mathematics , physics , geometry , engineering , mechanical engineering , thermodynamics
In this paper, free surface flow problems involving large free surface motion are analysed using finite element techniques. In solving these problems a spatially fixed Eulerian mesh is employed, in conjunction with a moving Lagrangian free surface line. The coupling, between the equations valid on the free surface and the equations valid on the fluid domain, is carried out using hybrid finite element techniques. Physical problems involving solitary wave propagation, sloshing dynamics and porous media flow are analysed to demonstrate the developed technique.