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A hybrid element formulation for the three-dimensional penalty finite element analysis of incompressible fluids

Jog, CS (2008) A hybrid element formulation for the three-dimensional penalty finite element analysis of incompressible fluids. In: International Journal for Numerical Methods in Engineering, 73 (1). pp. 123-145.

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Abstract

This work presents a hybrid element formulation for the three-dimensional penalty finite element analysis of incompressible Newtonian fluids. The formulation is based on a mixed variational statement in which velocity and stresses are treated as independent field variables. The main advantage of this formulation is that it bypasses the use of ad hoc techniques such as selective reduced integration that are commonly used in penalty-based finite element formulations, and directly yields high accuracy for the velocity and stress fields without the need to carry out smoothing. In addition, since the stress degrees of freedom are condensed out at an element level, the cost of solving for the global degrees of freedom is the same as in a standard penalty finite element method, although the gain in accuracy for both the velocity and stress (including the pressure) fields is quite significant.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to John Wiley & Sons
Keywords: hybrid formulation; penalty method; incompressible fluids; three-dimensional flows
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 04 Mar 2008
Last Modified: 19 Sep 2010 04:43
URI: http://eprints.iisc.ernet.in/id/eprint/13185

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