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A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling
Jaramillo, Alfredo ; Buscaglia, Gustavo C.
Tribology international, 2019-02, Vol.130, p.191-205
[Periódico revisado por pares]
Kidlington: Elsevier Ltd
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Título:
A stable numerical strategy for Reynolds-Rayleigh-Plesset coupling
Autor:
Jaramillo, Alfredo
;
Buscaglia, Gustavo C.
Assuntos:
Bearings
;
Bubbles
;
Cavitation
;
Computer simulation
;
Coupling
;
Crack propagation
;
Journal bearings
;
Lubricants & lubrication
;
Mathematical models
;
Numerical simulation
;
Pressure
;
Rayleigh-Plesset equation
;
Reynolds equation
;
Simulation
;
Strategy
;
Wave propagation
É parte de:
Tribology international, 2019-02, Vol.130, p.191-205
Descrição:
The coupling of Reynolds and Rayleigh-Plesset equations has been used in several works to simulate lubricated devices considering cavitation. The numerical strategies proposed so far are variants of a staggered strategy where Reynolds equation is solved considering the bubble dynamics frozen, and then the Rayleigh-Plesset equation is solved to update the bubble radius with the pressure frozen. We show that this strategy has severe stability issues and a stable methodology is proposed. The proposed methodology performance is assessed on two physical settings. The first one concerns the propagation of a decompression wave along a fracture considering the presence of cavitation nuclei. The second one is a typical journal bearing, in which the coupled model is compared with the Elrod-Adams model. •A stable numerical method is proposed for coupling the Reynolds and Rayleigh-Plesset equations: The One-Step Method.•The proposed method is shown to be more robust than the popular staggered method.•Unconditional zero-stability is proved.•The One-Step Method allows to study a decompression wave along a fracture with cavitation nuclei attached to the walls.•The Reynolds-Rayleigh-Plesset model and the Elrod-Adams model are compared numerically in the journal bearing geometry.
Editor:
Kidlington: Elsevier Ltd
Idioma:
Inglês
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