Analysis of Stokes flow by a hybrid method.

C. Bratianu, L. A. Ying, S. N. Atluri

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Presents a hybrid finite element scheme for Stokes flow, based on assumed deviant fluid stresses in each element and assumed continuous velocity fields at the element boundaries. The deviant and hydrostatic pressure fields are subject, a priori, to the constraints of balance of momenta. It is shown that the final finite element system of equations would have, as unknowns: (1) the finite element nodal velocities; (2) the 'constant term' in the arbitrarily varying pressure field over each element. It is found that the present method, wherein 'exact' integration may be used, leads to excellent accuracies in both velocity and pressure solutions. Comments on the stability and convergence of the present method are also included. (from paper)

Original languageEnglish
Title of host publicationUnknown Host Publication Title
PublisherTokyo Univ. Press
Edition(ed.), Tokyo, Japan, Tokyo Univ. Press, 1982, Session XIV, p....
ISBN (Print)0444864777
StatePublished - Jan 1 1982

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Bratianu, C., Ying, L. A., & Atluri, S. N. (1982). Analysis of Stokes flow by a hybrid method. In Unknown Host Publication Title ((ed.), Tokyo, Japan, Tokyo Univ. Press, 1982, Session XIV, p.... ed.). Tokyo Univ. Press.