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A Poisson equation formulation for pressure calculations in penalty finite element models for viscous incompressible flowsThe calculation of pressures when the penalty-function approximation is used in finite-element solutions of laminar incompressible flows is addressed. A Poisson equation for the pressure is formulated that involves third derivatives of the velocity field. The second derivatives appearing in the weak formulation of the Poisson equation are calculated from the C0 velocity approximation using a least-squares method. The present scheme is shown to be efficient, free of spurious oscillations, and accurate. Examples of applications are given and compared with results obtained using mixed formulations.
Document ID
19900064960
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Sohn, J. L.
(NASA Marshall Space Flight Center Huntsville, AL, United States)
Heinrich, J. C.
(Arizona, University Tucson, United States)
Date Acquired
August 14, 2013
Publication Date
August 5, 1990
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Volume: 30
ISSN: 0029-5981
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
90A52015
Distribution Limits
Public
Copyright
Other

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