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Finite control volume method as applied to a slider bearing with side‐leakage
Author(s) -
Ullah M. Rifat,
Kettleborough C. F.
Publication year - 1985
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620211012
Subject(s) - finite element method , finite volume method , mathematics , reynolds equation , mixed finite element method , mathematical analysis , control volume , stiffness matrix , extended finite element method , geometry , reynolds number , mechanics , physics , engineering , structural engineering , turbulence
The Reynolds' equation, which governs the pressure distribution in the oil film of a lubricated bearing, has been solved numerically using finite difference and finite element methods. The latter depends on finding the integral formulation of the Reynold's equation, which is minimized to determine the pressure distribution. The finite control volume method uses the basic flow equations, assumes a given interpolation function for the pressure and, by considering the net flow towards each nodal point, the geometry stiffness is obtained which is identical to the element stiffness matrix obtained by the classical finite element approach. The motivation of the finite control volume method (FCVM) lies in the fact that the calculus of variation, a stumbling block for solution of certain flow problems, is not considered.