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A Stokes model with cavitation for the numerical simulation of hydrodynamic lubrication

B. Nilsson ; Peter Hansbo (Institutionen för matematiska vetenskaper, matematik)
International Journal for Numerical Methods in Fluids (0271-2091). Vol. 67 (2011), 12, p. 2015-2025.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Stokes problem, cavitation, variational inequality, finite element, method, adaptivity, error estimate, finite-element methods, variational-inequalities



Denna post skapades 2012-01-03. Senast ändrad 2016-08-15.
CPL Pubid: 151572

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Numerisk analys

Chalmers infrastruktur