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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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