Abstract: Moving boundary-layer simulation in the crash safety analysis is one of the most important projects in mathematical modeling.The research on the theory and application for the complex non-Newtonian properties in various testing conditions have been interesting and difficult problems especially in the auto-crash safety engineering process.In this paper an application of boundary-layer computing for the non-Newtonian rate type impact hardening and shear thinning problems.The accurate mathematical prediction would supply ultimate research tool for the passive safety analysis in such scale.The posteriori estimate combined with HPC 2D/3D modeling technique would supply effective methods in the research.