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Application of a high accuracy finite difference technique to steady, free surface flow problems
Author(s) -
Chapman Raymond S.,
Kuo Chin Y.
Publication year - 1983
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.1650030605
Subject(s) - discretization , free surface , control volume , finite volume method , smoothing , flow (mathematics) , mathematics , mechanics , finite difference , finite difference method , surface (topology) , advection , open channel flow , equations of motion , mathematical analysis , geometry , classical mechanics , physics , thermodynamics , statistics
The spatially third‐order accurate QUICK finite difference technique is applied to the solution of the depth‐integrated equations of motion for steady, subcritical, free surface flow in a wide, shallow, rectangular channel with and without an abrupt expansion. The conservative, control‐volume discretization of the equations of motion and the use of QUICK in approximating required cell and cell face average quantities is discussed. Results presented show that it is possible to obtain stable solutions for advective free surface flows without resorting to implicit numerical smoothing.