High Order Discontinuous Galerkin Method for Elastohydrodynamic Lubrication Line Contact Problems
نویسندگان
چکیده
In this paper a high order Discontinuous Galerkin method is used to solve steady-state isothermal line contact elastohydrodynamic lubrication problems. This method is found to be stable across a wide range of loads and is shown to permit accurate solutions using just a small number of degrees of freedom provided suitable grids are used. A comparison is made between results obtained using this proposed method and those from a very large finite difference calculation in order to demonstrate excellent accuracy for a typical highly loaded test problem. Copyright c © 2000 John Wiley & Sons, Ltd.
منابع مشابه
High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems
In this thesis, a high-order finite element scheme, based upon the Discontinuous Galerkin (DG) method, is introduced to solve oneand two-dimensional Elastohydrodynamic Lubrication (EHL) problems (line contact and point contact). This thesis provides an introduction to elastohydrodynamic lubrication, including some history, and a description of the underlying mathematical model which is based up...
متن کاملAdaptive high-order Discontinuous Galerkin solution of elastohydrodynamic lubrication point contact problems
This paper describes an adaptive implementation of a high order Discontinuous Galerkin (DG) method for the solution of elastohydrodynamic lubrication (EHL) point contact problems. These problems arise when modelling the thin lubricating film between contacts which are under sufficiently high pressure that the elastic deformation of the contacting elements cannot be neglected. The governing equa...
متن کاملApplications of Multigrid Techniques in CFD
We present a discussion of the application of multigrid techniques to a range of nonlinear problems in CFD that require state-of-the-art numerical methods to be applied in order to obtain accurate and efficient solutions. These include combining multigrid with mesh adaptivity for phase-change problems, a parallel implementation of multigrid for a thin film flow problem, and a p-version of multi...
متن کاملStabilized Finite Elements for Elastohydrodynamic Lubrication Problems
In this work, we are mainly interested in modelling a particular lubrication regime known as Elastohydrodynamic (EHD). The pressure generated in the conjunction is high enough to induce a significant elastic deformation of the contacting bodies. Therefore a strong coupling between hydrodynamic and elastic effects is involved. A finite element full-system approach is used to model the lubricant ...
متن کاملInvestigation of Couple Stress Fluid and Surface Roughness Effects in the Elastohydrodynamic Lubrication Problems using Wavelet-Based Decoupled Method
Abstract: The standard decoupled method with Newton-generalized minimum residual procedure performs poorly or may break down when used to solve certain elastohydrodynamic lubrication problems. The authors Zargari et al., 2007 presented decoupled and coupled methods in which the limitations of the decoupled method for some set of physical parameters and slight variation in these values (physical...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016