Finite element method for starved hydrodynamic lubrication with film separation and free surface effects

DOI10.1016/j.cma.2018.04.044zbMath1440.76082OpenAlexW2800570789WikidataQ129833491 ScholiaQ129833491MaRDI QIDQ1986250

Anders Vølund, Peder Klit, Konstantinos Poulios

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://orbit.dtu.dk/en/publications/d0ed0bac-0f8b-4a13-8d32-05d750213176

zbMATH Keywords

surface tensionhydrodynamic lubricationB-spline finite elementpartial flooding

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Lubrication theory (76D08) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Uses Software

• Getfem++

Cites Work

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• A subdivision-based implementation of the hierarchical b-spline finite element method
• A mortar-finite element approach to lubricated contact problems
• A variational formulation for a class of free boundary lubrication
• Elasto-hydrodynamic lubrication: A non-linear complementarity problem
• Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
• The Method of Christopherson for Solving Free Boundary Problems for Infinite Journal Bearings by Means of Finite Differences

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