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Accurate 3D viscous incompressible flow calculations with the FEM
Author(s) -
Güļat Ü.,
Aslan A. R.
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(19971115)25:9<985::aid-fld596>3.0.co;2-c
Subject(s) - laminar flow , reynolds number , finite element method , flow (mathematics) , incompressible flow , mathematics , pressure correction method , compressibility , momentum (technical analysis) , mechanics , navier–stokes equations , mathematical analysis , classical mechanics , physics , geometry , turbulence , thermodynamics , finance , economics
A second‐order‐accurate (in both time and space) formulation is developed and implemented for solution of the three‐dimensional incompressible Navier–Stokes equations involving high‐Reynolds‐number flows past complex configurations. For stabilization, only a fourth‐order‐accurate artificial dissipation term in the momentum equations is used. The finite element method (FEM) with an explicit time‐marching scheme based on two‐fractional‐step integration is used for solution of the momentum equations. The element‐by‐element (EBE) technique is employed for solution of the auxiliary potential function equation in order to ease the memory requirements for matrix. The cubic cavity problem, the laminar flow past a sphere at various Reynolds numbers and the flow around the fuselage of a helicopter are successfully solved. Comparison of the results with the low‐order solutions indicates that the flow details are depicted clearly even with coarse grids. © 1997 John Wiley & Sons, Ltd.