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Finite element analysis of density flow using the velocity correction method
Author(s) -
Kawahara Mutsuto,
Ohmiya Kiyotaka
Publication year - 1985
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.1650051104
Subject(s) - finite element method , interpolation (computer graphics) , mathematics , flow (mathematics) , linear interpolation , mixed finite element method , flume , extended finite element method , smoothed finite element method , mathematical analysis , flow velocity , mechanics , pressure correction method , boundary knot method , geometry , classical mechanics , physics , engineering , structural engineering , boundary element method , motion (physics) , polynomial
A finite element method is proposed for the analysis of density flow which is induced by a difference of density. The method employs the idea that density variation can be pursued by using markers distributed in the flow field. For the numerical integration scheme, the velocity correction method is successfully used, introducing a potential for the correction of velocity. This method is useful because one can use linear interpolation functions for velocity, pressure and potential based on the triangular finite element. The final equations can be formulated using the quasi‐explicit finite element method. A flume in a tank with sloping bottom has been analysed by the present method. The computed results show extremely good agreement with the experimental observations.