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Edited By C.H. Venner, Faculty of Mechanical Engineering, University of Twente, The Netherlands A Lubrecht, Laboratoire de Mechanique des Contacts, INSA de Lyon, France
Description Efficient numerical solution of realistic and, therefore, complex equation systems occupies many researchers in many disciplines. For
various reasons, but mainly in order to approximate reality, a very large number of unknowns are needed. Using classical techniques,
the solution of such a system of equations would take too long, and so sometimes MultiLevel techniques are used to accelerate convergence.
Over the last one and a half decades, the authors have studied the problem of Elastohydrodynamic Lubrication, governed by a complex
integro-differential equation. Their work has resulted in a very efficient and stable solver. In this book they describe the different
intermediate problems analyzed and solved, and how those ingredients finally come together in the EHL solver. A number of these intermediate
problems, such as Hydrodynamic Lubrication and Dry Contact, are useful in their own right. In the Appendix the full codes of the Poisson
problem, the Hydrodynamic Lubrication problem, the dry contact solver and the EHL solver are given. These codes are all written in
'C' language, based on the 'ANSI-C' version.
Audience
For researchers interested in tribology and wear and in particular to the application of complex integro-differential equations to Elastohydrodynamic Lubrication.
Contents
Introduction Justification. History. Description of the EHL Problem. Simplification. Model Problems. Conclusion. Advanced
Topics.
Numerical Methods: Introduction Model Problems. Discretization. Systems of Equations. Direct Solver. Iterative
Solver. Relaxation. Performance. Local Mode Analysis. Conclusion. Advanced Topics.
Multigrid General Principle. Correction
Scheme. Intergrid Transfers. Coarse Grid Operator LH Coarse Grid Correction Cycle. Cycle Performance. Full MultiGrid.
Full Approxination Scheme. 1d Results. 2d Results. Conclusion. Advanced Techniques.
Hydrodynamic Lubrication Equations.
Discrete Equations. Relaxation. Caviation and Complementarity. Coarse Grid Correction. Full MultiGrid. Accuracy. Other L/R Ratios:
Bearing Design. Conclusion. Advanced Topics.
Dry Contact . Equations. Discrete Equations. Relaxation. Coarse Grid Correction.
Cycle Performance. Full MultiGrid. Multilevel Multi-Integration. Incorporating MLMI into the FMG Solver. Conclusion. Advanced Topics.
Elastohydrodynamic Lubrication . Introduction. Equations. Dimensionless Equations. Dimensionless Parameters. Discrete
Equations. Model Problems. Relaxation of the EHL Problem. Coarse Grid Correction Cycle. Full MultiGrid. Design Graphs. Conclusion. Advanced
Topics.
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