A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication
Journal article, 2011
We present a cavitation model based on the Stokes equation and formulate adaptive finite element methods for its numerical solution. A posteriori error estimates and adaptive algorithms are derived, and numerical examples illustrating the theory are supplied, in particular with comparison to the simplified Reynolds model of lubrication.
variational inequality
finite-element methods
method
variational-inequalities
finite element
Stokes problem
error estimate
cavitation
adaptivity
Author
B. Nilsson
Halmstad University
Peter F G Hansbo
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
International Journal for Numerical Methods in Fluids
0271-2091 (ISSN) 1097-0363 (eISSN)
Vol. 67 12 2015-2025Subject Categories
Computational Mathematics
DOI
10.1002/fld.2479