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Calculation of two‐dimensional shear‐driven cavity flows at high reynolds numbers
Author(s) -
Huser A.,
Biringen S.
Publication year - 1992
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.1650140906
Subject(s) - reynolds number , laminar flow , turbulence , mechanics , mathematics , boundary layer , compressibility , flow (mathematics) , hele shaw flow , physics , classical mechanics , geometry , mathematical analysis
The time‐dependent Navier–Stokes equations are numerically integrated for two‐dimensional incompressible viscous flow in a shear‐driven square cavity. Using a time‐splitting method and finite differences on a staggered mesh, the momentum and pressure equations are directly solved by a tensor product method where one finite difference direction is diagonalized by eigenvalue decomposition. The effects of increasing Reynolds number are studied and the developing boundary layer is captured by using a finely clustered mesh. At Re = 30000 the flow is in a continuously developing unsteady regime. Power spectrum plots indicate that the unsteady flow oscillates with one fundamental frequency and exhibits some characteristics of transition between laminar and turbulent states.