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Analysis of free surface flows using isoparametric finite elements
Author(s) -
Bettess Peter,
Bettess Jacqueline A.
Publication year - 1983
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.1620191107
Subject(s) - finite element method , mathematics , free surface , surface (topology) , flow (mathematics) , nonlinear system , mathematical analysis , basis (linear algebra) , range (aeronautics) , weir , geometry , mechanics , physics , engineering , structural engineering , quantum mechanics , aerospace engineering , cartography , geography
A theory for free surface flow using variable geometry finite elements is numerically modelled using isoparametric finite elements, for the first time. The resulting nonlinear equations are solved using the Newton‐Raphson method. Because a functional is used as the basis of the formulation, the resulting equations are symmetrical. The realistic problem of flow over a Crump weir is solved for a large range of discharges.