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Many engineering applications rely on lubricated gaps where the hydrodynamic pressure distribution is influenced by cavitation phenomena and elastic deformations. To obtain details about the conditions within the lubricated gap, solvers are required that can model cavitation and elastic deformation effects efficiently when a large amount of discret...

## Contexts in source publication

**Context 1**

... The lubrication flow in a narrow gap (schematically depicted in Figure 1) is governed by the Reynolds equation considering mass-conserving cavitation with the JFO model [5,6] at any set of spatial coordinates x 1 and x 2 and time t [9]: ...

**Context 2**

... 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 An EHL extension of the unsteady FBNS algorithm Next, the EHL-FBNS results are compared to the simulated results of Mourier et al. [25]. Figure 10 (a) shows the UI and QUICK results of the EHL-FBNS algorithm along with the simulated results of Mourier et al. in case of the shallow dimple with SSR = 0. Unlike the deep dimple, the rim of the shallow dimple is only weakly discontinuous. At the first dimple position, the simulated results of Mourier et al. agree well with the gap height and hydrodynamic pressure produced by the QUICK scheme. ...

**Context 3**

... findings are complemented by the results in case of the shallow dimple at SSR = −0.5 as depicted in Figure 10 (b) along with the outcome of the simulations of Mourier et al.. Gap height and hydrodynamic pressure of QUICK and Mourier et al. are in close agreement while the lower order UI results slightly differ at some points. The reason for the closer agreement of the EHL-FBNS results with Mourier et al. is expected to be due the dimple moving at a lower speed, thus introducing slower unsteady effects. ...

**Context 4**

... order to better understand the performance of the EHL-FBNS algorithm in unsteady EHL conditions, the required amount of iterations N n at each position of the dimple center x 1,d is displayed in Figure 11. The most iterations are needed to compute the steady solution at the initial position of the dimple and once the dimple reaches the EHL-contact zone. ...

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Many engineering applications rely on lubricated gaps where the hydrodynamic pressure distribution is influenced by cavitation phenomena and elastic deformations. To obtain details about the conditions within the lubricated gap, solvers are required that can model cavitation and elastic deformation effects efficiently when a large amount of discret...