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A least-squares finite element method for incompressible Navier-Stokes problemsA least-squares finite element method, based on the velocity-pressure-vorticity formulation, is developed for solving steady incompressible Navier-Stokes problems. This method leads to a minimization problem rather than to a saddle-point problem by the classic mixed method, and can thus accommodate equal-order interpolations. This method has no parameter to tune. The associated algebraic system is symmetric, and positive definite. Numerical results for the cavity flow at Reynolds number up to 10,000 and the backward-facing step flow at Reynolds number up to 900 are presented.
Document ID
19900002915
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Jiang, Bo-Nan (NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
September 6, 2013
Publication Date
October 1, 1989
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.15:102385
E-5124
ICOMP-89-28
NASA-TM-102385
Accession Number
90N12231
Funding Number(s)
CONTRACT_GRANT: NASA ORDER C-99066-G
PROJECT: RTOP 505-62-21
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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