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Lagrangian finite element method for the analysis of two‐dimensional sloshing problems
Author(s) -
Ramaswamy Balasubramaniam,
Kawahara Mutsuto,
Nakayama Tsukasa
Publication year - 1986
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650060907
Subject(s) - slosh dynamics , finite element method , lagrangian , compressibility , mathematics , simple (philosophy) , scheme (mathematics) , computational fluid dynamics , scale (ratio) , mathematical optimization , computer science , mathematical analysis , mechanics , physics , engineering , structural engineering , philosophy , epistemology , quantum mechanics
A new version of a numerical algorithm for the Lagrangian treatment of incompressible fluid flows with free surfaces is developed. The novel features of the present method are the adoptions of the Lagrangian finite element method and the velocity correction technique. The use of the velocity correction approach makes the computational scheme extremely simple in algorithmic structure. Hence, the present method is particularly attractive for large‐scale problems. The techniques discussed here are applied to some two‐dimensional sloshing problems, which may indicate the versatility and effectiveness of the present method.