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A numerical investigation of 2d, steady free surface flows
Author(s) -
Tzabiras G. D.
Publication year - 1997
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/(sici)1097-0363(19970915)25:5<567::aid-fld577>3.0.co;2-q
Subject(s) - froude number , free surface , reynolds number , convergence (economics) , mechanics , surface (topology) , mathematics , numerical analysis , geometry , mathematical analysis , flow (mathematics) , physics , turbulence , economics , economic growth
Systematic tests have been performed to study the behaviour of a numerical method developed to calculate 2D, steady free surface flows. The Reynolds equations are solved in the physical space by employing a non–orthogonal staggered grid, while the k ‐ε model is adopted to approximate the Reynolds stresses. The free surface is calculated following an iterative procedure and various parameters that affect convergence and accuracy of the numerical solution have been examined. Calculated results are compared with measured data for two cases, i.e. the wave generation above a bottom topography at various Froude numbers and the free surface formation above a submerged hydrofoil. © 1997 John Wiley & Sons, Ltd.