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Effect of vertical grid variability on a free surface flow model
Author(s) -
Bradford Scott F.
Publication year - 2007
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.1421
Subject(s) - discretization , grid , free surface , flow (mathematics) , mathematics , hydrostatic equilibrium , compressibility , computational fluid dynamics , navier–stokes equations , divergence (linguistics) , mechanics , geometry , mathematical analysis , physics , linguistics , philosophy , quantum mechanics
Abstract A previously developed numerical model that solves the incompressible, non‐hydrostatic, Navier–Stokes equations for free surface flow is analysed on a non‐uniform vertical grid. The equations are vertically transformed to the σ‐coordinate system and solved in a fractional step manner in which the pressure is computed implicitly by correcting the hydrostatic flow field to be divergence free. Numerical consistency, accuracy and efficiency are assessed with analytical methods and numerical experiments for a varying vertical grid discretization. Specific discretizations are proposed that attain greater accuracy and minimize computational effort when compared to a uniform vertical discretization. Published in 2007 by John Wiley & Sons, Ltd.