Jacobian-free Newton-Krylov subspace method with wavelet-based preconditioner for analysis of transient elastohydrodynamic lubrication problems with surface asperities

作     者：N.M.BUJURKE M.H.KANTLI N.M.BUJURKE;M.H.KANTLI

作者机构：Department of MathematicsKarnatak UniversityDharwad 580003India Department of MathematicsBiluru Gurubasava Mahaswamiji Institute of TechnologyMudhol 587313India 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2020年第41卷第6期

页      面：881-898页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：financial support from the Indian National Science Academy,New Delhi,India Biluru Gurubasava Mahaswamiji Institute of Technology for the encouragement and support 

主　　题：transient elastohydrodynamic lubrication(EHL) surface roughness bearing Newton-Krylov method generalized minimal residual(GMRES) wavelet preconditioner 

摘      要：This paper presents an investigation into the effect of surface asperities on the over-rolling of bearing surfaces in transient elastohydrodynamic lubrication(EHL) line contact. The governing equations are discretized by the finite difference method. The resulting nonlinear system of algebraic equations is solved by the Jacobian-free Newtongeneralized minimal residual(GMRES) from the Krylov subspace method(KSM). The acceleration of the GMRES iteration is accomplished by a wavelet-based *** profiles of the lubricant pressure and film thickness are obtained at each time step when the indented surface moves through the contact region. The prediction of pressure as a function of time provides an insight into the understanding of fatigue life of *** analysis confirms the need for the time-dependent approach of EHL problems with surface asperities. This method requires less storage and yields an accurate solution with much coarser grids. It is stable, efficient, allows a larger time step, and covers a wide range of parameters of interest.