Numerical solution of the one-sided compressor thrust bearing dynamics equation

Abstract

The aim of this work is to construct grid algorithms for solving nonstationary second-order partial differential equations that arise when modeling problems of the hydrodynamic theory of lubrication of thrust bearings. In constructing the grid schemes in the parts of the bearing, the finite element method and the version of discontinuous Galerkin method were used. To solve the pressure equation, the method of adder identities is used. To obtain a solution in a thrust bearing, a domain decomposition method is built based on the Lions method. Numerical experiments were performed demonstrating the convergence of the grid scheme of the Galerkin method on a sequence of condensing grids. A set of programs was built with the help of which it is possible to study the behavior of the bearing at various geometric and physical parameters. Determine lubricant consumption and bearing capacity over time.