Title

An active-set mixed finite element solver for a transient hydrodynamic lubrication problem in the presence of cavitation.

Authors

Tber, Moulay Hicham

Abstract

In this paper, we study a moving free boundary problem related to the cavitation modeling in lubricated devices. More precisely, a characteristics method combined with a weak formulation in a mixed form is introduced for the Elrod-Adams model. The formulation is suitable for the use of mixed finite element methods in the numerical approximation. It is proved that the time-discrete problem and its finite element discretization have unique solutions. Further an efficient primal-dual active-set strategy is proposed to solve the resulting algebraic system. The performance of the overall algorithm is illustrated by numerical examples.

Subjects

SET theory; FINITE element method; HYDRODYNAMICS; LUBRICATION & lubricants; NUMERICAL solutions to boundary value problems; APPROXIMATION theory

Publication

ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2018, Vol 98, Issue 6, p999

ISSN

0044-2267

Publication type

Academic Journal

DOI

10.1002/zamm.201700193