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## High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems (2006)

Citations: | 2 - 0 self |

### Citations

29 |
Multilevel Solution of the EHL Line and Point Contact Problems",
- Venner
- 1991
(Show Context)
Citation Context ...re used. The pressure spike and the cavitation position can be captured more accurately than with alternative, lower order, methods. In the following sections of this chapter, the governing equations =-=[60]-=- for the line and point contact problems are introduced and then a brief introduction to the history of the EHL problem is given. Chapter 2 describes the most widely used numerical methods for the sol... |

20 |
A Penalty Formulation and Numerical Approximation of the Reynolds–Hertz Problem of Elastohydrodynamic Lubrication,”
- Wu
- 1986
(Show Context)
Citation Context ...aptured pressure spike looks steep and smooth. The cavitation con46Chapter 4 47 DG for steady-state Line Contact dition may be handled by using the penalty method which was introduced by Wu and Oden =-=[64]-=- in 1986. However, other approaches are also possible, such as treating the problem as a free boundary problem, where the cavitation position is captured explicitly [40]. Both techniques are considere... |

11 |
Simplified Multigrid Technique for the Numerical Solution to the Steady-State and Transient
- Wang, Qu, et al.
- 2001
(Show Context)
Citation Context ...or EHL problems are discussed. For simplicity, we only focus on steady-state line contact problems. We will also give an introduction to our implementation of the “finite difference+multigrid” method =-=[60, 63]-=- and a simple upwind linear finite element method [48]. 2.1 Numerical Methods for EHL Over the last few decades, many numerical methods have been developed to solve EHL problems. During several early ... |

10 |
Transient Analysis of Surface Features in an EHL Line Contact in the Case of Sliding,"
- Venner, Lubrecht
- 1994
(Show Context)
Citation Context ... Furthermore, a transient analysis is required in such situations since the roughness in the contact will vary due to the moving surfaces. This is generally referred to as a micro-EHL contact problem =-=[18, 62]-=-. For theoretical analysis, artificial roughness models (such as indentation or waviness) [62] are usually adopted. In some situations, real roughness can also be handled using numerical methods [18].... |

9 | Higher-Order Multilevel Solvers for the EHL Line and Point Contact Problem,’’
- Venner
- 1994
(Show Context)
Citation Context ...and low-frequency components through the use of a sequence of grids. The multigrid method was first applied to EHL problems by Lubrecht in 1986 [42], combined with the Gauss-Seidel relaxation. Venner =-=[60, 61]-=- introduced new relaxation methods which make the multigrid method more robust. The cavitation condition was simply implemented by forcing the negative pressures to be zero [25]. Venner’s method can h... |

2 | A forward iterative numerical method for steady-state elastohydrodynamically lubricated contacts at high loads - Yang, Wen - 1986 |

1 |
Elasto-Hydrodynamic Lubrication
- Yang, Wen
- 1992
(Show Context)
Citation Context ...he initial guess for H00 is calculated as follows: H00 = Hc − Ec, (2.44) where Hc = π 8W (11.9U 0.74 G 0.4 W 0.2 ) (2.45) is the correlation equation for the central film thickness introduced by Yang =-=[66]-=- and the deformation Ec can be calculated with the known initial pressure distribution [65, 66]. In the above equation, W, G and U are three nondimensional parameters that characterize each load situa... |