Newton-GMRES Method for the Solution of Piezo-Viscous Line Contact EHL Problem with Daubechies Wavelet as a Preconditioner

Abstract

In the present paper, numerical analysis of the effect of piezo-viscous on line contact elastohydrodynamic lubrication (EHL) problem was performed. Methods:The mathematical formulation of governing equations viz. Reynolds and film thickness equations were solved using Newton-Generalized minimal residual (GMRES) method with Daubechies wavelet as preconditioner. Results:The study pertained to a wide range of parameters involved in the governing equations with the Newton-GMRES scheme, which features lower complexity and overcomes the limitations of conventional numerical schemes. The result showed that the pressure spike was strongly influenced by the piezoviscous effect and sliding ratio, and the minimum film thickness was accurately measured, suggesting the importance of piezo-viscous effects on the EHL problem. Conclusion:The Newton-GMRES method with wavelet preconditioner is one of the most efficient numerical methods and an alternative scheme to other classical numerical methods for the solution of EHL problem.

Newton-GMRES-Method for the Scritinization of electric double layer and surface roughness on EHL line contact problem

“…The procedure for the implementation of Newton-GMRES method and preconditioner is explained in detail [45]. Authors like Bujurke et al [47] and Awati et al [35] implemented the method for various EHL problems and the results agree with earlier findings.The obtained pressure values are used to calculate film thickness profiles; simultaneously with multi-level multi-integration (MLMI) method is used to obtain the solution of deformation integral. The load balance equation is verified and 0 h is corrected and again film thickness values are used to obtain new pressure values.…”

“…Zhao and Wong [34] discussed thermal EHL analysis of slip/ no-slip contact at high slide-to-roll ratio and concluded that, the combined mechanism of boundary slip and thermal effects on film formation was revealed numerically. Awati and Kumar [35] discussed the piezo-viscous EHL line contact problem by using Newton-GMRES method with Daubechies D6 wavelet as preconditioner.…”