NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Simplex finite element analysis of viscous incompressible flow with penalty function formulationViscous flow calculations are important for the determination of separated flows, recirculating flows, secondary flows and so on. This paper presents a penalty function approach for the finite element analysis of steady incompressible viscous flow. A simplex element is used with linear velocity and constant pressure in contrast to other works which usually employ higher order elements. Simplex elements yield analytical expressions for the element matrices which in turn lead to efficient solutions. Earlier works have partially indicated how constraint and lock-up problems might be avoided for simplex elements. This paper extends the earlier works by indicating the approach in detail and verifying that it is successful for several applications not discussed in the literature so far. Solution times and accuracy considerations are discussed for Couette flow, plane Poiseuille flow, a driven cavity problem, and laminar and turbulent flow over a step.
Document ID
19860037877
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Allaire, P. E.
(Virginia Univ. Charlottesville, VA, United States)
Rosen, M. C.
(Virginia Univ. Charlottesville, VA, United States)
Rice, J. G.
(Virginia, University Charlottesville, United States)
Date Acquired
August 12, 2013
Publication Date
April 1, 1985
Publication Information
Publication: Finite Elements in Analysis and Design
Volume: 1
ISSN: 0168-874X
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
86A22615
Funding Number(s)
CONTRACT_GRANT: NAG3-180
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available