An Overview of Numerical Methods for Reynolds Equation

Abstract

The development and prospect of numerical calculation method of Reynolds equation in fluid lubrication are introduced. As a fundamental equation of fluid dynamics, Reynolds equation in the form of relatively is simple, and a large number of results have been researched. Most of these results were appeared in the early 21st century. With the continuous improvement of computer hardware and software technology, it is necessary to summarize these results, and combine with new technologies to future researchers for reference. This paper mainly discusses the existing methods from the application scope, the precision and efficiency of the solution, and discusses the process of solving the Reynolds equation by the latest Isogeometric Geometric analysis method. Finally, it is the prospect of the combination of widely used multi-grid method and Isogeometric Geometric analysis method.