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Pressure equalization process will occur when a space ship docking to a space station through a nonlinear Pressure Equalization Assembly (PEA). The real-time simulation technology has great significance to understand the pressure equalization process and to test the working performance of PEA rapidly. However, the steadyoscillation will emerge when the Euler method is used. This paper firstly established a one-order nonlinear material flow model to study the docking process and then proposed adoi:10.12783/dtetr/mimece2016/10019 fatcat:yjd6duhzrbdljmfpl6ygolvf5q