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Computing three‐dimensional free surface flows
Author(s) -
Larock Bruce E.,
Taylor Cedric
Publication year - 1976
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.1620100513
Subject(s) - froude number , free surface , convergence (economics) , context (archaeology) , surface (topology) , finite element method , mathematics , flow (mathematics) , quadratic equation , jet (fluid) , mechanics , potential flow , variable (mathematics) , fluid dynamics , mathematical analysis , geometry , engineering , physics , geology , structural engineering , paleontology , economics , economic growth
Finite element techniques are developed for the analysis of high‐speed three‐dimensional free surface flows within the context of potential flow theory. The primary dependent variable is the velocity potential, which is approximated as a quadratic within each isoparametric element. An iterative approach is used to seek the initially unknown free surface location. A high‐speed fluid jet issuing through an orifice plate into a transvese gravity field is examined to illustrate features of the approach. Convergence of the solutions is very good at a Froude number of 3‐53 but deteriorates as F nears unity.