More recently,research effort focused on the micro-textured mechanical seal.Surface texturing as a means for enhancing tribological properties of mechanical components is well known for many years,and various forms and techniques of surface texturing were developed.As the lubrication of mechanical seal is quite complicated,it is essential to evaluate the influence of micro texturing face on friction behavior and leakage in mechanical seal application.In this paper,a mathematic model is established based on a modified Reynolds equation in polar coordinates,and solved by multi-grid method to demonstrate the performance of micro-texturing mechanical seal surface.Here the FMG adopted is one V-cycle per level.In order to use coarser grids to accelerate convergence,it can be used to generate an accurate first approximation to the solution on the finest grid.The converged solution of a coarser grid can be interpolated to a fine grid to serve as first approximation on this grid.Subsequently it can be improved by coarse grid correction.Sample cases of cylinder shaped,square shaped and diamond shaped micro-asperity are studied to show the performance of micro-texturing mechanical seals.Results show that geometry has vital influence on the friction coefficient and leakage.Diamond shaped micro-texturing asperities have better performance than the others.And the performance is sensitive to the area density than the micro-texturing depth.The numerical approach can be a useful engineering tool analyzing and optimizing the performance of micro-texturing mechanical face seals.