A PENALTY-HYBRID FINITE ELEMENT ANALYSIS OF STOKES FLOW

A type of penalty-hybrid variational principle is suggested for the analysis ofStokesian flow.On such a basis,a finite element model is formulated featuring,amongothers,a priori satisfaction of the deviatoric stress and hydrostatic pressure on linearmomentum balance equations.Also in the present scheme the hydrostatic pressure issuccessfully eliminated at the element level,leaving only nodal velocities as solutionunknowns.A series of4-node and8-node quadrilateral elements are derived and examined.Numerical examples demonstrating their characteristic behaviors are also included.