Stabilized finite elements for the solution of the Reynolds equation considering cavitation

被引：4

作者：

Gravenkamp, Hauke ^{[1
]}

Pfeil, Simon ^{[2
]}

Codina, Ramon ^{[1
,3
]}

机构：

[1] Int Ctr Numer Methods Engn CIMNE, Barcelona 08034, Spain

[2] Otto von Guericke Univ, Inst Mech, D-39106 Magdeburg, Germany

[3] Univ Politecn Cataluna, Barcelona 08034, Spain

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2024年 / 418卷

关键词：

Hydrodynamic bearings; Reynolds equation; Stabilized finite elements; Variational multiscale method; Orthogonal subgrid scales; JOURNAL-BEARING; LUBRICATION; FORMULATION; CONVECTION; APPROXIMATION; FLUID; ALGORITHM; MODELS; SCALES;

D O I：

10.1016/j.cma.2023.116488

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Reynolds equation, combined with the Elrod algorithm for including the effect of cavitation, resembles a nonlinear convection-diffusion-reaction (CDR) equation. Its solution by finite elements is prone to oscillations in convection-dominated regions, which are present whenever cavitation occurs. We propose a stabilized finite-element method that is based on the variational multiscale method and exploits the concept of orthogonal subgrid scales. We demonstrate that this approach only requires one additional term in the weak form to obtain a stable method that converges optimally when performing mesh refinement.

引用

页数：14

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