Static loading and coupled Eulerian-Lagrangian (CEL) algorithm are widely used in the research of pure water jet peening impact enhancement.In order to compare and analyze the two simulation methods,ABAQUS finite element analysis software was used to establish the pure water jet peening models respectively to obtain the dynamic process law of the change of energy history and impact pressure;the impact pressure simulation results were compared with the theoretical and experimental results.The results show that the two simulation models are consistent with the theoretical results,and the CEL method is more consistent with the experimental results.The conclusions can provide a certain reference for exploring the enhancement of the pure water jet peening impact.